Menu
Home Explore People Places Arts History Plants & Animals Science Life & Culture Technology
On this page
Orders of magnitude (energy)
List article

This list compares various energies in joules (J), organized by order of magnitude.

Below 1 J

List of orders of magnitude for energy
Factor (joules)SI prefixValueItem
10−34 6.626×10−34 JEnergy of a photon with a frequency of 1 hertz.1
 8×10−34 JAverage kinetic energy of translational motion of a molecule at the lowest temperature reached (38 picokelvin2 as of 2021[update])
10−30quecto- (qJ)
10−28 6.6×10−28 JEnergy of a typical AM radio photon (1 MHz) (4×10−9 eV)3
10−27ronto- (rJ)
10−24yocto- (yJ)1.6×10−24 JEnergy of a typical microwave oven photon (2.45 GHz) (1×10−5 eV)45
10−23 2×10−23 JAverage kinetic energy of translational motion of a molecule in the Boomerang Nebula, the coldest place known outside of a laboratory, at a temperature of 1 kelvin67
10−22 2–3000×10−22 JEnergy of infrared light photons8
10−21zepto- (zJ)1.7×10−21 J1 kJ/mol, converted to energy per molecule9
2.1×10−21 JThermal energy in each degree of freedom of a molecule at 25 °C (kT/2) (0.01 eV)10
2.856×10−21 JBy Landauer's principle, the minimum amount of energy required at 25 °C to change one bit of information
3–7×10−21 JEnergy of a van der Waals interaction between atoms (0.02–0.04 eV)1112
4.1×10−21 JThe "kT" constant at 25 °C, a common rough approximation for the total thermal energy of each molecule in a system (0.03 eV)13
7–22×10−21 JEnergy of a hydrogen bond (0.04 to 0.13 eV)1415
10−20 4.5×10−20 JUpper bound of the mass–energy of a neutrino in particle physics (0.28 eV)1617
10−19 1.602176634×10−19 J1 electronvolt (eV) by definition. This value is exact as a result of the 2019 revision of SI units.18
3–5×10−19 JEnergy range of photons in visible light (≈1.6–3.1 eV)1920
3–14×10−19 JEnergy of a covalent bond (2–9 eV)2122
5–200×10−19 JEnergy of ultraviolet light photons23
10−18atto- (aJ)1.78×10−18 JBond dissociation energy for the carbon monoxide (CO) triple bond, alternatively stated: 1072 kJ/mol; 11.11eV per molecule.24

This is the strongest chemical bond known.

2.18×10−18 JGround state ionization energy of hydrogen (13.6 eV)
10−17 2–2000×10−17 JEnergy range of X-ray photons25
10−16   
10−15femto- (fJ)3 × 10−15 JAverage kinetic energy of one human red blood cell.262728
10−14 1×10−14 JSound energy (vibration) transmitted to the eardrums by listening to a whisper for one second.293031
> 2×10−14 JEnergy of gamma ray photons32
2.7×10−14 JUpper bound of the mass–energy of a muon neutrino3334
8.2×10−14 JRest mass–energy of an electron35 (0.511 MeV)36
10−13 1.6×10−13 J1 megaelectronvolt (MeV)37
2.3×10−13 JEnergy released by a single event of two protons fusing into deuterium (1.44 megaelectronvolt MeV)38
10−12pico- (pJ)2.3×10−12 JKinetic energy of neutrons produced by DT fusion, used to trigger fission (14.1 MeV)3940
10−11 3.4×10−11 JAverage total energy released in the nuclear fission of one uranium-235 atom (215 MeV)4142
10−10 1.492×10−10 JMass-energy equivalent of 1 Da43 (931.5 MeV)44
1.503×10−10 JRest mass–energy of a proton45 (938.3 MeV)46
1.505×10−10 JRest mass–energy of a neutron47 (939.6 MeV)48
1.6×10−10 J1 gigaelectronvolt (GeV)49
3×10−10 JRest mass–energy of a deuteron50
6×10−10 JRest mass–energy of an alpha particle51
7×10−10 JEnergy required to raise a grain of sand by 0.1mm (the thickness of a piece of paper).52
10−9nano- (nJ)1.6×10−9 J10 GeV53
8×10−9 JInitial operating energy per beam of the CERN Large Electron Positron Collider in 1989 (50 GeV)5455
10−8 1.3×10−8 JMass–energy of a W boson (80.4 GeV)5657
1.5×10−8 JMass–energy of a Z boson (91.2 GeV)5859
1.6×10−8 J100 GeV60
2×10−8 JMass–energy of the Higgs Boson (125.1 GeV)61
6.4×10−8 JOperating energy per proton of the CERN Super Proton Synchrotron accelerator in 19766263
10−7 1×10−7 J≡ 1 erg64
1.6×10−7 J1 TeV (teraelectronvolt),65 about the kinetic energy of a flying mosquito66
10−6micro- (μJ)1.04×10−6 JEnergy per proton in the CERN Large Hadron Collider in 2015 (6.5 TeV)6768
10−5   
10−4 1.0×10−4 JEnergy released by a typical radioluminescent wristwatch in 1 hour6970 (1 μCi × 4.871 MeV × 1 hr)
10−3milli- (mJ)3.0×10−3 JEnergy released by a P100 atomic battery in 1 hour71 (2.4 V × 350 nA × 1 hr)
10−2centi- (cJ)4.0×10−2 JUse of a typical LED for 1 second72 (2.0 V × 20 mA × 1 s)
10−1deci- (dJ)1.1×10−1 JEnergy of an American half-dollar falling 1 metre7374

1 to 105 J

List of orders of magnitude for energy
Factor (joules)SI prefixValueItem
100J1 J≡ 1 N·m (newtonmetre)
1 J≡ 1 W·s (watt-second)
1 JKinetic energy produced as an extra small apple (~100 grams75) falls 1 meter against Earth's gravity76
1 JEnergy required to heat 1 gram of dry, cool air by 1 degree Celsius77
1.4 J≈ 1 ft·lbf (foot-pound force)78
4.184 J≡ 1 thermochemical calorie (small calorie)79
4.1868 J≡ 1 International (Steam) Table calorie80
8 JGreisen-Zatsepin-Kuzmin theoretical upper limit for the energy of a cosmic ray coming from a distant source8182
101deca- (daJ)1×101 JFlash energy of a typical pocket camera electronic flash capacitor (100–400 μF @ 330 V)8384
5×101 JThe most energetic cosmic ray ever detected.85 Most likely a single proton traveling only very slightly slower than the speed of light.86
102hecto- (hJ)1.25×102 JKinetic energy of a regulation (standard) baseball (5.1 oz / 145 g)87 thrown at 93 mph / 150 km/h (MLB average pitch speed).88
1.5×102 - 3.6×102 JEnergy delivered by a biphasic external electric shock (defibrillation), usually during adult cardiopulmonary resuscitation for cardiac arrest.
3×102 JEnergy of a lethal dose of X-rays89
3×102 JKinetic energy of an average person jumping as high as they can909192
3.3×102 JEnergy to melt 1 g of ice93
> 3.6×102 JKinetic energy of 800 gram94 standard men's javelin thrown at > 30 m/s95 by elite javelin throwers96
5–20×102 JEnergy output of a typical photography studio strobe light in a single flash97
6×102 JUse of a 10-watt flashlight for 1 minute
7.5×102 JA power of 1 horsepower applied for 1 second98
7.8×102 JKinetic energy of 7.26 kg99 standard men's shot thrown at 14.7 m/s by the world record holder Randy Barnes100
8.01×102 JAmount of work needed to lift a man with an average weight (81.7 kg) one meter above Earth (or any planet with Earth gravity)
103kilo- (kJ)1.1×103 J≈ 1 British thermal unit (BTU), depending on the temperature101
1.4×103 JTotal solar radiation received from the Sun by 1 square meter at the altitude of Earth's orbit per second (solar constant)102
2.3×103 JEnergy to vaporize 1 g of water into steam103
3×103 JLorentz force can crusher pinch104
3.4×103 JKinetic energy of world-record men's hammer throw (7.26 kg105 thrown at 30.7 m/s106 in 1986)107
3.6×103 J≡ 1 W·h (watt-hour)108
4.2×103 JEnergy released by explosion of 1 gram of TNT109110
4.2×103 J≈ 1 food Calorie (large calorie)
~7×103 JMuzzle energy of an elephant gun, e.g. firing a .458 Winchester Magnum111
8.5×103 JKinetic energy of a regulation baseball thrown at the speed of sound (343 m/s = 767 mph = 1,235 km/h. Air, 20°C).112
9×103 JEnergy in an alkaline AA battery113
104 1.7×104 JEnergy released by the metabolism of 1 gram of carbohydrates114 or protein115
3.8×104 JEnergy released by the metabolism of 1 gram of fat116
4–5×104 JEnergy released by the combustion of 1 gram of gasoline117
5×104 JKinetic energy of 1 gram of matter moving at 10 km/s118
105 3×105 – 15×105 JKinetic energy of an automobile at highway speeds (1 to 5 tons119 at 89 km/h or 55 mph)120

106 to 1011 J

List of orders of magnitude for energy
Factor (joules)SI prefixValueItem
106mega- (MJ)1×106 JKinetic energy of a 2 tonne121 vehicle at 32 metres per second (115 km/h or 72 mph)122
1.2×106 JApproximate food energy of a snack such as a Snickers bar (280 food calories)123
3.6×106 J= 1 kWh (kilowatt-hour) (used for electricity)124
4.2×106 JEnergy released by explosion of 1 kilogram of TNT125126
6.1×106 JKinetic energy of the 4 kg tungsten APFSDS penetrator after being fired from a 120mm KE-W A1 cartridge with a nominal muzzle velocity of 1740 m/s.127128
8.4×106 JRecommended food energy intake per day for a moderately active woman (2000 food calories)129130
9.1×106 JKinetic energy of a regulation baseball thrown at Earth's escape velocity (First cosmic velocity ≈ 11.186 km/s = 25,020 mph = 40,270 km/h).131
107 1×107 JKinetic energy of the armor-piercing round fired by the ISU-152 assault gun132
1.1×107 JRecommended food energy intake per day for a moderately active man (2600 food calories)133134
3.3×107 JKinetic energy of a 23 lb projectile fired by the Navy's mach 8 railgun.135
3.7×107 J$1 of electricity at a cost of $0.10/kWh (the US average retail cost in 2009)136137138
4×107 JEnergy from the combustion of 1 cubic meter of natural gas139
4.2×107 JCaloric energy consumed by Olympian Michael Phelps on a daily basis during Olympic training140
6.3×107 JTheoretical minimum energy required to accelerate 1 kg of matter to escape velocity from Earth's surface (ignoring atmosphere)141
9×107 JTotal mass-energy of 1 microgram of matter (25 kWh)
108 1×108 JKinetic energy of a 55 tonne aircraft at typical landing speed (59 m/s or 115 knots)
1.1×108 J≈ 1 therm, depending on the temperature142
1.1×108 J≈ 1 Tour de France, or ~90 hours143 ridden at 5 W/kg144 by a 65 kg rider145
7.3×108 J≈ Energy from burning 16 kilograms of oil (using 135 kg per barrel of light crude)
109giga- (GJ)1×109 JEnergy in an average lightning bolt146 (thunder)
1.1×109 JMagnetic stored energy in the world's largest toroidal superconducting magnet for the ATLAS experiment at CERN, Geneva147
1.2×109 JInflight 100-ton Boeing 757-200 at 300 knots (154 m/s)
1.4×109 JTheoretical minimum amount of energy required to melt a tonne of steel (380 kWh)148149
2×109 JEnergy of an ordinary 61 liter gasoline tank of a car.150151152
2×109 JUnit of energy in Planck units,153 roughly the diesel tank energy of a mid-sized truck.
2.49×109 JKinetic energy carried by American Airlines Flight 11 (767-200ER) at the moment of impact154155 with WTC 1, 8:46:30 A.M.156157158(EDT UTC−4:00), September 11, 2001
3×109 JInflight 125-ton Boeing 767-200 flying at 373 knots (192 m/s)
3.3×109 JApproximate average amount of energy expended by a human heart muscle over an 80-year lifetime159160
3.6×109 J= 1 MW·h (megawatt-hour)
4.2×109 JEnergy released by explosion of 1 ton of TNT.
4.5×109 JAverage annual energy usage of a standard refrigerator161162
6.1×109 J≈ 1 bboe (barrel of oil equivalent)163
1010 1.9×1010 JKinetic energy of an Airbus A380 at cruising speed (560 tonnes at 511 knots or 263 m/s)
4.2×1010 J≈ 1 toe (ton of oil equivalent)164
4.6×1010 JYield energy of a Massive Ordnance Air Blast bomb, the second most powerful non-nuclear weapon ever designed165166
7.3×1010 JEnergy consumed by the average U.S. automobile in the year 2000167168169
8.6×1010 J≈ 1 MW·d (megawatt-day), used in the context of power plants (24 MW·h)170
8.8×1010 JTotal energy released in the nuclear fission of one gram of uranium-235171172173
9×1010 JTotal mass-energy of 1 milligram of matter (25 MW·h)
1011 1.1×1011 JKinetic energy of a regulation baseball thrown at lightning speed (120 km/s = 270,000 mph = 435,000 km/h).174
2.4×1011 JApproximate food energy consumed by an average human in an 80-year lifetime.175

1012 to 1017 J

List of orders of magnitude for energy
Factor (joules)SI prefixValueItem
1012tera- (TJ)1.85×1012 JGravitational potential energy of the Twin Towers, combined, accumulated throughout their construction and released during the collapse of the complex.176177178
3.4×1012 JMaximum fuel energy of an Airbus A330-300 (97,530 liters179 of Jet A-1180)181
3.6×1012 J1 GW·h (gigawatt-hour)182
4×1012 JElectricity generated by one 20-kg CANDU fuel bundle assuming ~29%183 thermal efficiency of reactor184185
4.2×1012 JChemical energy released by the detonation of 1 kiloton of TNT186187
6.4×1012 JEnergy contained in jet fuel in a Boeing 747-100B aircraft at max fuel capacity (183,380 liters188 of Jet A-1189)190
1013 1.1×1013 JEnergy of the maximum fuel an Airbus A380 can carry (320,000 liters191 of Jet A-1192)193
1.2×1013 JOrbital kinetic energy of the International Space Station (417 tonnes194 at 7.7 km/s195)196
1.20×1013 JOrbital kinetic energy of the Parker Solar Probe as it dives deep into the Sun's gravity well in December 2024, reaching a peak velocity of 430,000 mph.197198199
6.3×1013 JYield of the Little Boy atomic bomb dropped on Hiroshima in World War II (15 kilotons)200201
9×1013 JTheoretical total mass–energy of 1 gram of matter (25 GW·h) 202
1014 1.8×1014 JEnergy released by annihilation of 1 gram of antimatter and matter (50 GW·h)
3.75×1014 JTotal energy released by the Chelyabinsk meteor.203
6×1014 JEnergy released by an average hurricane per day204
1015peta- (PJ) > 1015 JEnergy released by a severe thunderstorm205
1×1015 JYearly electricity consumption in Greenland as of 2008206207
4.2×1015 JEnergy released by explosion of 1 megaton of TNT208209
1016 1×1016 JEstimated impact energy released in forming Meteor Crater
1.1×1016 JYearly electricity consumption in Mongolia as of 2010210211
6.3×1016 JYield of Castle Bravo, the most powerful nuclear weapon tested by the United States212
7.9×1016 JKinetic energy of a regulation baseball thrown at 99% the speed of light (KE = mc^2 × [γ-1], where the Lorentz factor γ ≈ 7.09).213
9×1016 JMass–energy of 1 kilogram of matter214
1017 1.4×1017 JSeismic energy released by the 2004 Indian Ocean earthquake215
1.7×1017 JTotal energy from the Sun that strikes the face of the Earth each second216
2.1×1017 JYield of the Tsar Bomba, the most powerful nuclear weapon ever tested (50 megatons)217218
2.552×1017 JTotal energy of the 2022 Hunga Tonga–Hunga Haʻapai eruption219220
4.2×1017 JYearly electricity consumption of Norway as of 2008221222
4.516×1017 JEnergy needed to accelerate one ton of mass to 0.1c (~30,000 km/s)223
8.4x1017 JEstimated energy released by the eruption of the Indonesian volcano, Krakatoa, in 1883224225226

1018 to 1023 J

List of orders of magnitude for energy
Factor (joules)SI prefixValueItem
1018exa- (EJ) 9.4×1018 JWorldwide nuclear-powered electricity output in 2023.227228
1019 1×1019 JThermal energy released by the 1991 Pinatubo eruption229
1.1×1019 JSeismic energy released by the 1960 Valdivia Earthquake230
1.2×1019 JExplosive yield of global nuclear arsenal231 (2.86 Gigatons)
1.4×1019 JYearly electricity consumption in the U.S. as of 2009232233
1.4×1019JYearly electricity production in the U.S. as of 2009234235
5×1019 JEnergy released in 1 day by an average hurricane in producing rain (400 times greater than the wind energy)236
6.4×1019 JYearly electricity consumption of the world as of 2008[update]237238
6.8×1019 JYearly electricity generation of the world as of 2008[update]239240
1020 1.4×1020 JTotal energy released in the 1815 Mount Tambora eruption241
2.33×1020 JKinetic energy of a carbonaceous chondrite meteor 1 km in diameter striking Earth's surface at 20 km/s.242 Such an impact occurs every ~500,000 years.243
2.4×1020 JTotal latent heat energy released by Hurricane Katrina244
5×1020 JTotal world annual energy consumption in 2010245246
6.2×1020 JWorld primary energy generation in 2023 (620 EJ).247248
8×1020 JEstimated global uranium resources for generating electricity 2005249250251252
1021zetta- (ZJ) 6.9×1021 JEstimated energy contained in the world's natural gas reserves as of 2010253254
7.0×1021 JThermal energy released by the Toba eruption255
7.9×1021 JEstimated energy contained in the world's petroleum reserves as of 2010256257
9.3×1021 JAnnual net uptake of thermal energy by the global ocean during 2003-2018258
1022 1.2×1022JSeismic energy of a magnitude 11 earthquake on Earth (M 11)259
1.5×1022JTotal energy from the Sun that strikes the face of the Earth each day260261
1.94×1022JImpact event that formed the Siljan Ring, the largest impact structure in Europe262
2.4×1022 JEstimated energy contained in the world's coal reserves as of 2010263264
2.9×1022 JIdentified global uranium-238 resources using fast reactor technology265
3.9×1022 JEstimated energy contained in the world's fossil fuel reserves as of 2010266267
8.03×1022 JTotal energy of the 2004 Indian Ocean earthquake268
1023 1.5×1023 JTotal energy of the 1960 Valdivia earthquake269
2.2×1023 JTotal global uranium-238 resources using fast reactor technology270
3×1023 JThe energy released in the formation of the Chicxulub Crater in the Yucatán Peninsula271

Over 1024 J

List of orders of magnitude for energy
Factor (joules)SI prefixValueItem
1024yotta- (YJ)2.31×1024 JTotal energy of the Sudbury impact event272
2.69×1024 JRotational energy of Venus, which has a sidereal period of (-)243 Earth days.273274275
3.8×1024 JRadiative heat energy released from the Earth’s surface each year276
5.5×1024 JTotal energy from the Sun that strikes the face of the Earth each year277278
1025 4×1025 JTotal energy of the Carrington Event in 1859279
1026 >1026JEstimated energy of early Archean asteroid impacts280
3.2×1026 JBolometric energy of Proxima Centauri's superflare in March 2016 (10^33.5 erg). In one year, potentially five similar superflares erupts from the surface of the red dwarf.281
3.828×1026 JTotal radiative energy output of the Sun each second282
1027ronna- (RJ)1×1027 JEstimated energy released by the impact that created the Caloris basin on Mercury283
1×1027 JUpper limit of the most energetic solar flares possible (X1000)284
5.19×1027 JThermal input necessary to evaporate all surface water on Earth.285286287 Note that the evaporated water still remains on Earth, merely in vapor form.
4.2×1027 JKinetic energy of a regulation baseball thrown at the speed of the Oh-My-God particle, itself a cosmic ray proton with the kinetic energy of a baseball thrown at 60 mph (~50 J).288
10283.8×1028 JKinetic energy of the Moon in its orbit around the Earth (counting only its velocity relative to the Earth)289290
7×1028 JTotal energy of the stellar superflare from V1355 Orionis291292
1029 2.1×1029 JRotational energy of the Earth293294295
1030quetta- (QJ)1.79×1030 JRough estimate of the gravitational binding energy of Mercury.296
1031 2×1031 JThe Theia Impact, the most energetic event ever in Earth's history297298
 3.3×1031JTotal energy output of the Sun each day299300
1032 1.71×1032 JGravitational binding energy of the Earth301
3.10×1032 JYearly energy output of Sirius B, the ultra-dense and Earth-sized white dwarf companion of Sirius, the Dog Star. It has a surface temperature of about 25,200 K.302
1033 2.7×1033 JEarth's kinetic energy at perihelion in its orbit around the Sun303304
1034 1.2×1034 JTotal energy output of the Sun each year305306
10353.5×1035 JThe most energetic stellar superflare to date (V2487 Ophiuchi)307
10387.53×1038 JBaryonic (ordinary) mass-energy contained in a volume of one cubic light-year, on average.308309
1039  2–5×1039 JEnergy of the giant flare (starquake) released by SGR 1806-20310311312
6.602×1039 J Theoretical total mass–energy of the Moon313314
1040  1.61×1040 JBaryonic mass-energy contained in a volume of one cubic parsec, on average.315316
1041 2.276×1041 JGravitational binding energy of the Sun317
5.3675×1041 JTheoretical total mass–energy of the Earth318319
1043 5×1043 JTotal energy of all gamma rays in a typical gamma-ray burst if collimated320321
>1043 JTotal energy in a typical fast blue optical transient (FBOT)322
1044 ~1044 JAverage value of a Tidal Disruption Event (TDE) in optical/UV bands323
~1044 JEstimated kinetic energy released by FBOT CSS161010324
~1044 JTotal energy released in a typical supernova,325326 sometimes referred to as a foe.
1.233×1044 JApproximate lifetime energy output of the Sun.327328
3×1044 JTotal energy of a typical gamma-ray burst if collimated329
1045 ~1045 JEstimated energy released in a hypernova and pair instability supernova330
1045 JEnergy released by the energetic supernova, SN 2016aps331332
1.7–1.9×1045 JEnergy released by hypernova ASASSN-15lh333
2.3×1045 JEnergy released by the energetic supernova PS1-10adi334335
>1045 JEstimated energy of a magnetorotational hypernova336
>1045 JTotal energy (energy in gamma rays+relativistic kinetic energy) of hyper-energetic gamma-ray burst if collimated337338339340341
1046>1046 JEstimated energy in theoretical quark-novae342
~1046 JUpper limit of the total energy of a supernova343344
1.5×1046 JTotal energy of the most energetic optical non-quasar transient, AT2021lwx345
1047 1045-47 JEstimated energy of stellar mass rotational black holes by vacuum polarization in an electromagnetic field346347
1047 JTotal energy of a very energetic and relativistic jetted Tidal Disruption Event (TDE)348
~1047 JUpper limit of collimated- corrected total energy of a gamma-ray burst349350351
1.8×1047 JTheoretical total mass–energy of the Sun352353
5.4×1047 JMass–energy emitted as gravitational waves during the merger of two black holes, originally about 30 Solar masses each, as observed by LIGO (GW150914)354
8.6×1047 JMass–energy emitted as gravitational waves during the most energetic black hole merger observed until 2020 (GW170729)355
8.8×1047 JGRB 080916C – formerly the most powerful gamma-ray burst (GRB) ever recorded – total/true356 isotropic energy output estimated at 8.8 × 1047 joules (8.8 × 1054 erg), or 4.9 times the Sun's mass turned to energy357
10481048 JEstimated energy of a supermassive Population III star supernova, denominated "General Relativistic Instability Supernova."358359
~1.2×1048 JApproximate energy released in the most energetic black hole merging to date (GW190521), which originated the first intermediate-mass black hole ever detected360361362363364
1.2–3×1048 JGRB 221009A – the most powerful gamma-ray burst (GRB) ever recorded – total/true365366 isotropic energy output estimated at 1.2–3 × 1048 joules (1.2–3 × 1055 erg)367368369
1050≳1050 JUpper limit of isotropic energy (Eiso) of Population III stars Gamma-Ray Bursts (GRBs).370
1053 >1053 JMechanical energy of very energetic so-called "quasar tsunamis"371372
6×1053 JTotal mechanical energy or enthalpy in the powerful AGN outburst in the RBS 797373
7.65×1053 JMass-energy of Sagittarius A*, Milky Way's central supermassive black hole374375
1054 3×1054 JTotal mechanical energy or enthalpy in the powerful AGN outburst in the Hercules A (3C 348)376
1055 >1055 JTotal mechanical energy or enthalpy in the powerful AGN outburst in the MS 0735.6+7421,377 Ophiucus Supercluster Explosion378 and supermassive black holes mergings379380
1057~1057 JEstimated rotational energy of M87 SMBH and total energy of the most luminous quasars over Gyr time-scales381382
~2×1057 JEstimated thermal energy of the Bullet Cluster of galaxies383
7.3×1057 JMass-energy equivalent of the ultramassive black hole TON 618, an extremely luminous quasar / active galactic nucleus (AGN).384385
1058 ~1058 JEstimated total energy (in shockwaves, turbulence, gases heating up, gravitational force) of galaxy clusters mergings386
4×1058 JVisible mass–energy in our galaxy, the Milky Way387388
1059 1×1059 JTotal mass–energy of our galaxy, the Milky Way, including dark matter and dark energy389390
1.4×1059 JMass-energy of the Andromeda galaxy (M31), ~0.8 trillion solar masses.391392
1062 1–2×1062 JTotal mass–energy of the Virgo Supercluster including dark matter, the Supercluster which contains the Milky Way393
10701.462×1070 JRough estimate of total mass–energy of ordinary matter (atoms; baryons) present in the observable universe.394395396
10713.177×1071 JRough estimate of total mass-energy within our observable universe, accounting for all forms of matter and energy.397398

SI multiples

SI multiples of joule (J)
SubmultiplesMultiples
ValueSI symbolNameValueSI symbolName
10−1 JdJdecijoule101 JdaJdecajoule
10−2 JcJcentijoule102 JhJhectojoule
10−3 JmJmillijoule103 JkJkilojoule
10−6 JμJmicrojoule106 JMJmegajoule
10−9 JnJnanojoule109 JGJgigajoule
10−12 JpJpicojoule1012 JTJterajoule
10−15 JfJfemtojoule1015 JPJpetajoule
10−18 JaJattojoule1018 JEJexajoule
10−21 JzJzeptojoule1021 JZJzettajoule
10−24 JyJyoctojoule1024 JYJyottajoule
10−27 JrJrontojoule1027 JRJronnajoule
10−30 JqJquectojoule1030 JQJquettajoule

The joule is named after James Prescott Joule. As with every SI unit named after a person, its symbol starts with an upper case letter (J), but when written in full, it follows the rules for capitalisation of a common noun; i.e., joule becomes capitalised at the beginning of a sentence and in titles but is otherwise in lower case.

See also

  • Energy portal

Notes

References

  1. "Planck's constant | physics | Britannica.com". britannica.com. Retrieved 26 December 2016. http://www.britannica.com/EBchecked/topic/462917/Plancks-constant

  2. Calculated: KEavg = (3/2) × Boltzmann constant × Temperature /wiki/Boltzmann_constant

  3. Calculated: Ephoton = hν = 6.626×10−34 J-s × 1×106 Hz = 6.6×10−28 J. In eV: 6.6×10−28 J / 1.6×10−19 J/eV = 4.1×10−9 eV.

  4. Cheung, Howard (1998). Elert, Glenn (ed.). "Frequency of a microwave oven". The Physics Factbook. Retrieved 25 January 2022. https://hypertextbook.com/facts/1998/HowardCheung.shtml

  5. Calculated: Ephoton = hν = 6.626×10−34 J-s × 2.45×108 Hz = 1.62×10−24 J. In eV: 1.62×10−24 J / 1.6×10−19 J/eV = 1.0×10−5 eV.

  6. "Boomerang Nebula boasts the coolest spot in the Universe". JPL. Archived from the original on 27 August 2009. Retrieved 13 November 2011. https://web.archive.org/web/20090827115717/http://jpl.nasa.gov/news/releases/97/coldspot.html

  7. Calculated: KEavg ≈ (3/2) × T × 1.38×10−23 = (3/2) × 1 × 1.38×10−23 ≈ 2.07×10−23 J

  8. "Wavelength, Frequency, and Energy". Imagine the Universe. NASA. Archived from the original on 18 November 2001. Retrieved 15 November 2011. https://web.archive.org/web/20011118152730/http://imagine.gsfc.nasa.gov/docs/science/know_l1/spectrum_chart.html

  9. Calculated: 1×103 J / 6.022×1023 entities per mole = 1.7×10−21 J per entity

  10. Calculated: 1.381×10−23 J/K × 298.15 K / 2 = 2.1×10−21 J

  11. "Bond Lengths and Energies". Chem 125 notes. UCLA. Archived from the original on 23 August 2011. Retrieved 13 November 2011. https://web.archive.org/web/20110823121639/http://www.doe-mbi.ucla.edu/CHEM125/bonds.html

  12. Calculated: 2 to 4 kJ/mol = 2×103 J / 6.022×1023 molecules/mol = 3.3×10−21 J. In eV: 3.3×10−21 J / 1.6×10−19 J/eV = 0.02 eV. 4×103 J / 6.022×1023 molecules/mol = 6.7×10−21 J. In eV: 6.7×10−21 J / 1.6×10−19 J/eV = 0.04 eV.

  13. Ansari, Anjum. "Basic Physical Scales Relevant to Cells and Molecules". Physics 450. Retrieved 13 November 2011. http://www.uic.edu/classes/phys/phys450/MARKO/N003.html

  14. "Bond Lengths and Energies". Chem 125 notes. UCLA. Archived from the original on 23 August 2011. Retrieved 13 November 2011. https://web.archive.org/web/20110823121639/http://www.doe-mbi.ucla.edu/CHEM125/bonds.html

  15. Calculated: 4 to 13 kJ/mol. 4 kJ/mol = 4×103 J / 6.022×1023 molecules/mol = 6.7×10−21 J. In eV: 6.7×10−21 J / 1.6×10−19 eV/J = 0.042 eV. 13 kJ/mol = 13×103 J / 6.022×1023 molecules/mol = 2.2×10−20 J. In eV: 13×103 J / 6.022×1023 molecules/mol / 1.6×10−19 eV/J = 0.13 eV.

  16. Thomas, S.; Abdalla, F.; Lahav, O. (2010). "Upper Bound of 0.28 eV on Neutrino Masses from the Largest Photometric Redshift Survey". Physical Review Letters. 105 (3): 031301. arXiv:0911.5291. Bibcode:2010PhRvL.105c1301T. doi:10.1103/PhysRevLett.105.031301. PMID 20867754. S2CID 23349570. /wiki/ArXiv_(identifier)

  17. Calculated: 0.28 eV × 1.6×10−19 J/eV = 4.5×10−20 J

  18. "physics.nist.gov/cuu/Constants/Table/allascii.txt". 2022. Archived from the original on 10 September 2024. https://physics.nist.gov/cuu/Constants/Table/allascii.txt

  19. "BASIC LAB KNOWLEDGE AND SKILLS". Archived from the original on 15 May 2013. Retrieved 5 November 2011. Visible wavelengths are roughly from 390 nm to 780 nm https://web.archive.org/web/20130515121940/http://www.sci.sdsu.edu/classes/chemistry/chem467l/mardahl/basic.html

  20. Calculated: E = hc/λ. E780 nm = 6.6×10−34 kg-m2/s × 3×108 m/s / (780×10−9 m) = 2.5×10−19 J. E_390 _nm = 6.6×10−34 kg-m2/s × 3×108 m/s / (390×10−9 m) = 5.1×10−19 J

  21. "Bond Lengths and Energies". Chem 125 notes. UCLA. Archived from the original on 23 August 2011. Retrieved 13 November 2011. https://web.archive.org/web/20110823121639/http://www.doe-mbi.ucla.edu/CHEM125/bonds.html

  22. Calculated: 50 kcal/mol × 4.184 J/calorie / 6.0×1022e23 molecules/mol = 3.47×10−19 J. (3.47×10−19 J / 1.60×10−19 eV/J = 2.2 eV.) and 200 kcal/mol × 4.184 J/calorie / 6.0×1022e23 molecules/mol = 1.389×10−18 J. (7.64×10−19 J / 1.60×10−19 eV/J = 8.68 eV.)

  23. "Wavelength, Frequency, and Energy". Imagine the Universe. NASA. Archived from the original on 18 November 2001. Retrieved 15 November 2011. https://web.archive.org/web/20011118152730/http://imagine.gsfc.nasa.gov/docs/science/know_l1/spectrum_chart.html

  24. Kim, Hahn; Doan, Van Dung; Cho, Woo Jong; Valero, Rosendo; Aliakbar Tehrani, Zahra; Madridejos, Jenica Marie L.; Kim, Kwang S. (6 November 2015). "Intriguing Electrostatic Potential of CO: Negative Bond-ends and Positive Bond-cylindrical-surface". Scientific Reports. 5: 16307. Bibcode:2015NatSR...516307K. doi:10.1038/srep16307. ISSN 2045-2322. PMC 4635358. PMID 26542890. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4635358

  25. "Wavelength, Frequency, and Energy". Imagine the Universe. NASA. Archived from the original on 18 November 2001. Retrieved 15 November 2011. https://web.archive.org/web/20011118152730/http://imagine.gsfc.nasa.gov/docs/science/know_l1/spectrum_chart.html

  26. Phillips, Kevin; Jacques, Steven; McCarty, Owen (2012). "How much does a cell weigh?". Physical Review Letters. 109 (11): 118105. Bibcode:2012PhRvL.109k8105P. doi:10.1103/PhysRevLett.109.118105. PMC 3621783. PMID 23005682. Roughly 27 picograms https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3621783

  27. Bob Berman. "Our Bodies' Velocities, By the Numbers". Retrieved 19 August 2016. The [...] blood [...] flow[s] at an average speed of 3 to 4 mph http://discovermagazine.com/2014/julyaug/18-body-of-work

  28. Calculated: 1/2 × 27×10−12 g × (3.5 miles per hour)2 = 3×10−15 J

  29. "Physics of the Body" (PDF). Notre Dame. Archived from the original (PDF) on 6 November 2016. Retrieved 19 August 2016.. "The eardrum is a [...] membran[e] with an area of 65 mm2." https://web.archive.org/web/20161106160152/https://www3.nd.edu/~nsl/Lectures/mphysics/Medical%20Physics/Part%20I.%20Physics%20of%20the%20Body/Chapter%204.%20Acoustics%20of%20the%20Body/4.3%20Physics%20of%20the%20ear/Physics%20of%20the%20ear.pdf

  30. "Intensity and the Decibel Scale". Physics Classroom. Retrieved 19 August 2016. http://www.physicsclassroom.com/class/sound/Lesson-2/Intensity-and-the-Decibel-Scale

  31. Calculated: two eardrums ≈ 1 cm2. 1×10−6 W/m2 × 1×10−4 m2 × 1 s = 1×10−14 J

  32. "Wavelength, Frequency, and Energy". Imagine the Universe. NASA. Archived from the original on 18 November 2001. Retrieved 15 November 2011. https://web.archive.org/web/20011118152730/http://imagine.gsfc.nasa.gov/docs/science/know_l1/spectrum_chart.html

  33. Thomas J Bowles (2000). P. Langacker (ed.). Neutrinos in physics and astrophysics: from 10–33 to 1028 cm: TASI 98 : Boulder, Colorado, USA, 1–26 June 1998. World Scientific. p. 354. ISBN 978-981-02-3887-2. Retrieved 11 November 2011. an upper limit ov m_v_u < 170 keV 978-981-02-3887-2

  34. Calculated: 170×103 eV × 1.6×10−19 J/eV = 2.7×10−14 J

  35. "electron mass energy equivalent". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Value?mec2

  36. "CODATA Value: electron mass energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023. https://physics.nist.gov/cgi-bin/cuu/Value?mec2mev

  37. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=6&num=1&From=ev&To=j&Action=Convert+value+and+show+factor

  38. "How much energy is released when hydrogen is fused to produce one kilo of helium?". 11 November 2017. Retrieved 21 July 2021. https://hbergeronx.medium.com/how-much-energy-is-released-when-hydrogen-is-fused-to-produce-one-kilo-of-helium-64e74b03b13e

  39. Muller, Richard A. (2002). "The Sun, Hydrogen Bombs, and the physics of fusion". Archived from the original on 2 April 2012. Retrieved 5 November 2011. The neutron comes out with high energy of 14.1 MeV https://web.archive.org/web/20120402214226/http://muller.lbl.gov/teaching/physics10/old%20physics%2010/chapters%20(old)/7-fusion.htm

  40. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=7&num=1.41&From=ev&To=j&Action=Convert+value+and+show+factor

  41. "Energy From Uranium Fission". HyperPhysics. Retrieved 8 November 2011. http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/u235chn.html#c3

  42. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=8&num=2.15&From=ev&To=j&Action=Convert+value+and+show+factor

  43. "CODATA Value: atomic mass constant energy equivalent". physics.nist.gov. Retrieved 13 August 2023. https://physics.nist.gov/cgi-bin/cuu/Value?uj

  44. "CODATA Value: atomic mass constant energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023. https://physics.nist.gov/cgi-bin/cuu/Value?muc2mev

  45. "proton mass energy equivalent". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Value?mpc2

  46. "CODATA Value: proton mass energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023. https://physics.nist.gov/cgi-bin/cuu/Value?mpc2mev

  47. "neutron mass energy equivalent". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Value?mnc2

  48. "CODATA Value: neutron mass energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023. https://physics.nist.gov/cgi-bin/cuu/Value?mnc2mev

  49. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=9&num=1&From=ev&To=j&Action=Convert+value+and+show+factor

  50. "deuteron mass energy equivalent". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Value?mdc2

  51. "alpha particle mass energy equivalent". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Value?malc2

  52. Calculated: 7×10−4 g × 9.8 m/s2 × 1×10−4 m

  53. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=10&num=1&From=ev&To=j&Action=Convert+value+and+show+factor

  54. Myers, Stephen. "The LEP Collider". CERN. Archived from the original on 25 August 2010. Retrieved 14 November 2011. the LEP machine energy is about 50 GeV per beam https://web.archive.org/web/20100825192922/http://sl-div.web.cern.ch/sl-div/history/lep_doc.html

  55. Calculated: 50×109 eV × 1.6×10−19 J/eV = 8×10−9 J

  56. "W". PDG Live. Particle Data Group. Archived from the original on 17 July 2012. Retrieved 4 November 2011. https://archive.today/20120717002128/http://pdglive.lbl.gov/Rsummary.brl?nodein=S043

  57. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=9&num=80.4&From=ev&To=j&Action=Convert+value+and+show+factor&Action=Convert+value+and+show+factor

  58. Amsler, C.; Doser, M.; Antonelli, M.; Asner, D.; Babu, K.; Baer, H.; Band, H.; Barnett, R.; Bergren, E.; Beringer, J.; Bernardi, G.; Bertl, W.; Bichsel, H.; Biebel, O.; Bloch, P.; Blucher, E.; Blusk, S.; Cahn, R. N.; Carena, M.; Caso, C.; Ceccucci, A.; Chakraborty, D.; Chen, M. -C.; Chivukula, R. S.; Cowan, G.; Dahl, O.; d'Ambrosio, G.; Damour, T.; De Gouvêa, A.; et al. (2008). "Review of Particle Physics⁎". Physics Letters B. 667 (1): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. S2CID 227119789. Archived from the original on 12 July 2012. https://archive.today/20120712165412/http://pdglive.lbl.gov/Rsummary.brl?nodein=S044&fsizein=1

  59. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=9&num=91.2&From=ev&To=j&Action=Convert+value+and+show+factor

  60. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=11&num=1&From=ev&To=j&Action=Convert+value+and+show+factor

  61. ATLAS; CMS (26 March 2015). "Combined Measurement of the Higgs Boson Mass in pp Collisions at √s=7 and 8 TeV with the ATLAS and CMS Experiments". Physical Review Letters. 114 (19): 191803. arXiv:1503.07589. Bibcode:2015PhRvL.114s1803A. doi:10.1103/PhysRevLett.114.191803. PMID 26024162. S2CID 1353272. /wiki/ATLAS_experiment

  62. Adams, John. "400 GeV Proton Synchrotron". Excertp from the CERN Annual Report 1976. CERN. Archived from the original on 26 October 2011. Retrieved 14 November 2011. A circulating proton beam of 400 GeV energy was first achieved in the SPS on 17 June 1976 https://web.archive.org/web/20111026162037/http://sl-div.web.cern.ch/sl-div/history/sps_doc.html

  63. Calculated: 400×109 eV × 1.6×10−19 J/eV = 6.4×10−8 J

  64. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  65. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=12&num=1&From=ev&To=j&Action=Convert+value+and+show+factor

  66. "Chocolate bar yardstick". Archived from the original on 26 February 2014. Retrieved 24 January 2014. A TeV is actually a very tiny amount of energy. A popular analogy is to a flying mosquito. https://web.archive.org/web/20140226141339/http://www.cernlove.org/blog/2010/04/chocolate-bar-yardstick/

  67. "First successful beam at record energy of 6.5 TeV". Retrieved 28 April 2015. http://home.web.cern.ch/about/updates/2015/04/first-successful-beam-record-energy-65-tev

  68. Calculated: 6.5×1012 eV per beam × 1.6×10−19 J/eV = 1.04×10−6 J

  69. "The radioactive series of radium-226" (PDF). CERN. https://indico.cern.ch/event/835006/contributions/3548764/attachments/1924479/3184497/Ra226Decays.pdf

  70. Terrill, James G. Jr.; Ingraham, Samuel C. II; Moeller, Dade W. (1954). "Radium in the Healing Arts and in Industry: Radiation Exposure in the United States". Public Health Reports. 69 (3): 255–262. doi:10.2307/4588736. JSTOR 4588736. PMC 2024184. PMID 13134440. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2024184

  71. "NanoTritium™: Next-gen Tritium Battery with Decade-Long Betavoltaic Battery Power | CityLabs". Retrieved 4 April 2022. https://citylabs.net/products/

  72. "LED - Basic Red 5mm - COM-09590 - SparkFun Electronics". www.sparkfun.com. Retrieved 4 April 2022. https://www.sparkfun.com/products/9590

  73. "Coin specifications". United States Mint. Archived from the original on 18 February 2015. Retrieved 2 November 2011. 11.340 g https://web.archive.org/web/20150218061037/http://www.usmint.gov/about_the_mint/?action=coin_specifications

  74. Calculated: m×g×h = 11.34×10−3 kg × 9.8 m/s2 × 1 m = 1.1×10−1 J

  75. "Apples, raw, with skin (NDB No. 09003)". USDA Nutrient Database. USDA. Archived from the original on 3 March 2015. Retrieved 8 December 2011. https://web.archive.org/web/20150303184216/http://www.nal.usda.gov/fnic/foodcomp/search/

  76. Calculated: m×g×h = 1×10−1 kg × 9.8 m/s2 × 1 m = 1 J

  77. "Specific Heat of Dry Air". Engineering Toolbox. Retrieved 2 November 2011. http://www.engineeringtoolbox.com/air-specific-heat-capacity-d_705.html

  78. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  79. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  80. "Footnotes". NIST Guide to the SI. NIST. 2 July 2009. http://physics.nist.gov/Pubs/SP811/footnotes.html#f09

  81. "Physical Motivations". ULTRA Home Page (EUSO project). Dipartimento di Fisica di Torino. Retrieved 12 November 2011. http://www.dfg.unito.it/euso/physical-motivation.html

  82. Calculated: 5×1019 eV × 1.6×10−19 J/ev = 8 J

  83. "Notes on the Troubleshooting and Repair of Electronic Flash Units and Strobe Lights and Design Guidelines, Useful Circuits, and Schematics". Retrieved 8 December 2011. The energy storage capacitor for pocket cameras is typically 100 to 400 uF at 330 V (charged to 300 V) with a typical flash energy of 10 W-s. http://www.repairfaq.org/sam/strbfaq.htm

  84. "Teardown: Digital Camera Canon PowerShot |". electroelvis.com. 2 September 2012. Archived from the original on 1 August 2013. Retrieved 6 June 2013. https://web.archive.org/web/20130801014811/http://electroelvis.com/2012/09/02/teardown-digital-camera-canon-powershot/

  85. "The Fly's Eye (1981–1993)". HiRes. Archived from the original on 15 August 2009. Retrieved 14 November 2011. https://web.archive.org/web/20090815102123/http://www.cosmic-ray.org/reading/flyseye.html#SEC10

  86. Bird, D. J. (March 1995). "Detection of a cosmic ray with measured energy well beyond the expected spectral cutoff due to cosmic microwave radiation". Astrophysical Journal, Part 1. 441 (1): 144–150. arXiv:astro-ph/9410067. Bibcode:1995ApJ...441..144B. doi:10.1086/175344. S2CID 119092012. /wiki/ArXiv_(identifier)

  87. "How Much Does a Baseball Weigh? - Baseball Weight Facts". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104164703/https://www.nations-baseball.com/how-much-does-a-baseball-weigh/

  88. "How fast does an average MLB pitcher throw? - TopVelocity". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104164625/https://www.topvelocity.net/2023/06/05/how-fast-does-an-average-mlb-pitcher-throw/

  89. "Ionizing Radiation". General Chemistry Topic Review: Nuclear Chemistry. Bodner Research Web. Retrieved 5 November 2011. http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch23/radiation.php

  90. "Vertical Jump Test". Topend Sports. Retrieved 12 December 2011. 41–50 cm (males) 31–40 cm (females) http://www.topendsports.com/testing/tests/vertjump.htm

  91. "Mass of an Adult". The Physics Factbook. Retrieved 13 December 2011. 70 kg http://hypertextbook.com/facts/2003/AlexSchlessingerman.shtml

  92. Kinetic energy at start of jump = potential energy at high point of jump. Using a mass of 70 kg and a high point of 40 cm => energy = m×g×h = 70 kg × 9.8 m/s2 × 40×10−2 m = 274 J

  93. "Latent Heat of Melting of some common Materials". Engineering Toolbox. Retrieved 10 June 2013. 334 kJ/kg http://www.engineeringtoolbox.com/latent-heat-melting-solids-d_96.html

  94. "Javelin Throw – Introduction". IAAF. Retrieved 12 December 2011. http://www.iaaf.org/community/athletics/trackfield/newsid=9427.html

  95. Young, Michael. "Developing Event Specific Strength for the Javelin Throw" (PDF). Archived from the original (PDF) on 13 August 2011. Retrieved 13 December 2011. For elite athletes, the velocity of a javelin release has been measured in excess of 30m/s https://web.archive.org/web/20110813094040/http://www.indianathrower.com/documents/javelinthrowbiomechanics.pdf

  96. Calculated: 1/2 × 0.8 kg × (30 m/s)2 = 360 J

  97. Greenspun, Philip. "Studio Photography". Archived from the original on 29 September 2007. Retrieved 13 December 2011. Most serious studio photographers start with about 2000 watts-seconds https://web.archive.org/web/20070929104533/http://photo.net/learn/studio/primer

  98. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  99. "Shot Put – Introduction". IAAF. Retrieved 12 December 2011. http://www.iaaf.org/community/athletics/trackfield/newsid=9444.html

  100. Calculated: 1/2 × 7.26 kg × (14.7 m/s)2 = 784 J

  101. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  102. Kopp, G.; Lean, J. L. (2011). "A new, lower value of total solar irradiance: Evidence and climate significance". Geophysical Research Letters. 38 (1): n/a. Bibcode:2011GeoRL..38.1706K. doi:10.1029/2010GL045777. /wiki/Judith_Lean

  103. "Fluids – Latent Heat of Evaporation". Engineering Toolbox. Retrieved 10 June 2013. 2257 kJ/kg http://www.engineeringtoolbox.com/fluids-evaporation-latent-heat-d_147.html

  104. powerlabs.org – The PowerLabs Solid State Can Crusher!, 2002 http://www.powerlabs.org/pssecc.htm

  105. "Hammer Throw – Introduction". IAAF. Retrieved 12 December 2011. http://www.iaaf.org/community/athletics/trackfield/newsid=9418.html

  106. Otto, Ralf M. "HAMMER THROW WR PHOTOSEQUENCE – YURIY SEDYKH" (PDF). Retrieved 4 November 2011. The total release velocity is 30.7 m/sec http://hammerthrow.org/wp-content/uploads/photosequences/otto_sedykh_wr.pdf

  107. Calculated: 1/2 × 7.26 kg × (30.7 m/s)2 = 3420 J

  108. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  109. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  110. 4.2×109 J/ton of TNT-equivalent × (1 ton/1×106 grams) = 4.2×103 J/gram of TNT-equivalent

  111. ".458 Winchester Magnum" (PDF). Accurate Powder. Western Powders Inc. Archived from the original (PDF) on 28 September 2007. Retrieved 7 September 2010. https://web.archive.org/web/20070928011847/http://www.accuratepowder.com/data/PerCaliber2Guide/Rifle/Standarddata(Rifle)/458Cal(11.63mm)/458%20Winchester%20Magnum%20pages%20339%20and%20340.pdf

  112. "speed of sound - Google Search". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104165125/https://www.google.com/search?q=speed+of+sound#ip=1

  113. "Battery energy storage in various battery sizes". AllAboutBatteries.com. Archived from the original on 4 December 2011. Retrieved 15 December 2011. https://web.archive.org/web/20111204090808/http://www.allaboutbatteries.com/Energy-tables.html

  114. "Energy Density of Carbohydrates". The Physics Factbook. Retrieved 5 November 2011. http://hypertextbook.com/facts/2007/AnuragPanda.shtml

  115. "Energy Density of Protein". The Physics Factbook. Retrieved 5 November 2011. http://hypertextbook.com/facts/2003/DavidDukhan.shtml

  116. "Energy Density of Fats". The Physics Factbook. Retrieved 5 November 2011. http://hypertextbook.com/facts/2004/PingZhang.shtml

  117. "Energy Density of Gasoline". The Physics Factbook. Retrieved 5 November 2011. http://hypertextbook.com/facts/2003/ArthurGolnik.shtml

  118. Calculated: E = 1/2 m×v2 = 1/2 × (1×10−3 kg) × (1×104 m/s)2 = 5×104 J.

  119. "List of Car Weights". LoveToKnow. Retrieved 13 December 2011. 3000 to 12000 pounds http://cars.lovetoknow.com/List_of_Car_Weights

  120. Calculated: Using car weights of 1 ton to 5 tons. E = 1/2 m×v2 = 1/2 × (1×103 kg) × (55 mph × 1600 m/mi / 3600 s/hr) = 3.0×105 J. E = 1/2 × (5×103 kg) × (55 mph × 1600 m/mi / 3600 s/hr) = 15×105 J.

  121. "List of Car Weights". LoveToKnow. Retrieved 13 December 2011. 3000 to 12000 pounds http://cars.lovetoknow.com/List_of_Car_Weights

  122. Calculated: KE = 1/2 × 2×103 kg × (32 m/s)2 = 1.0×106 J

  123. "Candies, MARS SNACKFOOD US, SNICKERS Bar (NDB No. 19155)". USDA Nutrient Database. USDA. Archived from the original on 3 March 2015. Retrieved 14 November 2011. https://web.archive.org/web/20150303184216/http://www.nal.usda.gov/fnic/foodcomp/search/

  124. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  125. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  126. 4.2×109 J/ton of TNT-equivalent × (1 ton/1×106 grams) = 4.2×103 J/gram of TNT-equivalent

  127. "1/2*4kg*(1740m/s)^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=1/2*4kg*(1740m/s)%5E2

  128. "120mm KE-W A1 Armor-Piercing, Fin-Stabilizing, Discarding Sabot-Tracer". General Dynamics Ordnance and Tactical Systems. Retrieved 23 September 2024. https://www.gd-ots.com/munitions/large-caliber-ammunition/120mm-kew-a1/

  129. "How to Balance the Food You Eat and Your Physical Activity and Prevent Obesity". Healthy Weight Basics. National Heart Lung and Blood Institutde. Retrieved 14 November 2011. http://www.nhlbi.nih.gov/health/public/heart/obesity/wecan/healthy-weight-basics/balance.htm

  130. Calculated: 2000 food calories = 2.0×106 cal × 4.184 J/cal = 8.4×106 J

  131. "What is Earth's Escape Velocity? - Earth How". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104165536/https://earthhow.com/escape-velocity-earth-closed-system/

  132. Calculated: 1/2 × m × v2 = 1/2 × 48.78 kg × (655 m/s)2 = 1.0×107 J.

  133. "How to Balance the Food You Eat and Your Physical Activity and Prevent Obesity". Healthy Weight Basics. National Heart Lung and Blood Institutde. Retrieved 14 November 2011. http://www.nhlbi.nih.gov/health/public/heart/obesity/wecan/healthy-weight-basics/balance.htm

  134. Calculated: 2600 food calories = 2.6×106 cal × 4.184 J/cal = 1.1×107 J

  135. Ackerman, Spencer. "Video: Navy's Mach 8 Railgun Obliterates Record". Wired. ISSN 1059-1028. Retrieved 28 July 2024. https://www.wired.com/2010/12/video-navys-mach-8-railgun-obliterates-record/

  136. "Table 3.3 Consumer Price Estimates for Energy by Source, 1970–2009". Annual Energy Review. US Energy Information Administration. 19 October 2011. Retrieved 17 December 2011. $28.90 per million BTU http://www.eia.gov/totalenergy/data/annual/showtext.cfm?t=ptb0303

  137. Calculated J per dollar: 1 million BTU/$28.90 = 1×106 BTU / 28.90 dollars × 1.055×103 J/BTU = 3.65×107 J/dollar

  138. Calculated cost per kWh: 1 kWh × 3.60×106 J/kWh / 3.65×107 J/dollar = 0.0986 dollar/kWh

  139. "Energy in a Cubic Meter of Natural Gas". The Physics Factbook. Retrieved 15 December 2011. http://hypertextbook.com/facts/2002/JanyTran.shtml

  140. "The Olympic Diet of Michael Phelps". WebMD. Retrieved 28 December 2011. http://www.webmd.com/diet/news/20080813/the-olympic-diet-of-michael-phelps

  141. Cline, James E. D. "Energy to Space". Retrieved 13 November 2011. 6.27×107 Joules / Kg https://home.earthlink.net/~jedcline/ets.html

  142. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  143. "Tour de France Winners, Podium, Times". Bike Race Info. Retrieved 10 December 2011. http://bikeraceinfo.com/tdf/tdfindex.html

  144. "Watts/kg". Flamme Rouge. Archived from the original on 2 January 2012. Retrieved 4 November 2011. https://web.archive.org/web/20120102133701/http://www.flammerouge.je/content/3_factsheets/constant/wattkilobench.htm

  145. Calculated: 90 hr × 3600 seconds/hr × 5 W/kg × 65 kg = 1.1×108 J

  146. Smith, Chris (6 March 2007). "How do Thunderstorms Work?". The Naked Scientists. Retrieved 15 November 2011. It discharges about 1–10 billion joules of energy http://www.thenakedscientists.com/HTML/articles/article/howdothunderstormswork-2/

  147. "Powering up ATLAS's mega magnet". Spotlight on... CERN. Archived from the original on 30 November 2011. Retrieved 10 December 2011. magnetic energy of 1.1 Gigajoules https://web.archive.org/web/20111130024727/http://user.web.cern.ch/public/en/Spotlight/SpotlightATLAS-en.html

  148. "ITP Metal Casting: Melting Efficiency Improvement" (PDF). ITP Metal Casting. U.S. Department of Energy. Retrieved 14 November 2011. 377 kWh/mt http://www1.eere.energy.gov/industry/metalcasting/pdfs/umr22_fs.pdf

  149. Calculated: 380 kW-h × 3.6×106 J/kW-h = 1.37×109 J

  150. "Energy Density of Gasoline". The Physics Factbook. Retrieved 5 November 2011. http://hypertextbook.com/facts/2003/ArthurGolnik.shtml

  151. Bell Fuels. "Lead-Free Gasoline Material Safety Data Sheet". NOAA. Archived from the original on 20 August 2002. Retrieved 6 July 2008. https://web.archive.org/web/20020820074636/http://www.sefsc.noaa.gov/HTMLdocs/Gasoline.htm

  152. thepartsbin.com – Volvo Fuel Tank: Compare at The Parts Bin[permanent dead link], 6 May 2012 http://www.thepartsbin.com/guides/volvo/fuel_tank.html

  153. E P = ℏ c 5 G {\displaystyle E_{\text{P}}={\sqrt {\frac {\hbar c^{5}}{G}}}}

  154. "1/2*(440mph)^2*283,600lb - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=1/2*(440mph)%5E2*283,600lb

  155. "Final Report on the Collapse of the World Trade Center Towers". Final Report on the Collapse of the World Trade Center Towers: Federal Building and Fire Safety Investigation of the World Trade Center Disaster [NIST NCSTAR 1]. September 2005. Archived (PDF) from the original on 11 September 2024. Retrieved 11 September 2024. https://www.nist.gov/publications/federal-building-and-fire-safety-investigation-world-trade-center-disaster-final-report

  156. "Final Report on the Collapse of the World Trade Center Towers". Final Report on the Collapse of the World Trade Center Towers: Federal Building and Fire Safety Investigation of the World Trade Center Disaster [NIST NCSTAR 1]. September 2005. Archived (PDF) from the original on 11 September 2024. Retrieved 11 September 2024. https://www.nist.gov/publications/federal-building-and-fire-safety-investigation-world-trade-center-disaster-final-report

  157. p. 20 (70 of 302) Section: 2.2 THE AIRCRAFT

  158. "1/2*(440mph)^2*283,600lb - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=1/2*(440mph)%5E2*283,600lb

  159. "Power of a Human Heart". The Physics Factbook. Retrieved 10 December 2011. The mechanical power of the human heart is ~1.3 watts http://hypertextbook.com/facts/2003/IradaMuslumova.shtml

  160. Calculated: 1.3 J/s × 80 years × 3.16×107 s/year = 3.3×109 J

  161. "U.S. Household Electricity Uses: A/C, Heating, Appliances". U.S. HOUSEHOLD ELECTRICITY REPORT. EIA. Retrieved 13 December 2011. For refrigerators in 2001, the average UEC was 1,239 kWh http://www.eia.gov/emeu/reps/enduse/er01_us.html

  162. Calculated: 1239 kWh × 3.6×106 J/kWh = 4.5×109 J

  163. Energy Units Archived 10 October 2016 at the Wayback Machine, by Arthur Smith, 21 January 2005 http://www.altenergyaction.org/mambo/index.php?option=com_content&task=view&id=9

  164. Energy Units Archived 10 October 2016 at the Wayback Machine, by Arthur Smith, 21 January 2005 http://www.altenergyaction.org/mambo/index.php?option=com_content&task=view&id=9

  165. "Top 10 Biggest Explosions". Listverse. 28 November 2011. Retrieved 10 December 2011. a yield of 11 tons of TNT http://listverse.com/2011/11/28/top-10-biggest-explosions/

  166. Calculated: 11 tons of TNT-equivalent × 4.184×109 J/ton of TNT-equivalent = 4.6×1010 J

  167. "Emission Facts: Average Annual Emissions and Fuel Consumption for Passenger Cars and Light Trucks". EPA. Retrieved 12 December 2011. 581 gallons of gasoline http://www.epa.gov/otaq/consumer/f00013.htm

  168. "200 Mile-Per-Gallon Cars?". Archived from the original on 19 December 2011. Retrieved 12 December 2011. a gallon of gas ... 125 million joules of energy https://web.archive.org/web/20111219011152/http://www.uwgb.edu/dutchs/pseudosc/200mpgcar.htm

  169. Calculated: 581 gallons × 125×106 J/gal = 7.26×1010 J

  170. Calculated: 1×106 watts × 86400 seconds/day = 8.6×1010 J

  171. "Energy From Uranium Fission". HyperPhysics. Retrieved 8 November 2011. http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/u235chn.html#c3

  172. "Conversion from eV to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=8&num=2.15&From=ev&To=j&Action=Convert+value+and+show+factor

  173. Calculated: 3.44×10−10 J/U-235-fission × 1×10−3 kg / (235 amu per U-235-fission × 1.66×10−27 amu/kg) = 8.82×10−10 J

  174. "10 striking facts about lightning - Met Office". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104170325/https://www.metoffice.gov.uk/weather/learn-about/weather/types-of-weather/thunder-and-lightning/facts-about-lightning

  175. Calculated: 2000 kcal/day × 365 days/year × 80 years = 2.4×1011 J

  176. "1/2*416m*1 million ton*9.81m/s^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=1/2*416m*1+million+ton*9.81m/s%5E2

  177. Equation for calculating potential assumes that the towers' center of mass is located halfway along the building's height of ~416 meters.

  178. "Why Did the World Trade Center Collapse? Science, Engineering, and Speculation". www.tms.org. Retrieved 23 September 2024".... The total weight of each tower was about 500,000 t."{{cite web}}: CS1 maint: postscript (link) https://www.tms.org/pubs/journals/JOM/0112/Eagar/Eagar-0112.html

  179. "A330-300 Dimensions & key data". Airbus. Archived from the original on 16 January 2013. Retrieved 12 December 2011. 97530 litres https://web.archive.org/web/20130116222250/http://www.airbus.com/aircraftfamilies/passengeraircraft/a330family/a330-300/specifications/

  180. "Air BP Handbook of Products" (PDF). BP. Archived from the original (PDF) on 8 June 2011. Retrieved 19 August 2011. https://web.archive.org/web/20110608075828/http://www.bp.com/liveassets/bp_internet/aviation/air_bp/STAGING/local_assets/downloads_pdfs/a/air_bp_products_handbook_04004_1.pdf

  181. Calculated: 97530 liters × 0.804 kg/L × 43.15 MJ/kg = 3.38×1012 J

  182. Calculated: 1×109 watts × 3600 seconds/hour

  183. Weston, Kenneth. "Chapter 10. Nuclear Power Plants" (PDF). Energy Conversion. Archived from the original (PDF) on 5 October 2011. Retrieved 13 December 2011. The thermal efficiency of a CANDU plant is only about 29% https://web.archive.org/web/20111005120238/http://www.personal.utulsa.edu/~kenneth-weston/chapter10.pdf

  184. "CANDU and Heavy Water Moderated Reactors". Retrieved 12 December 2011. fuel burnup in a CANDU is only 6500 to 7500 MWd per metric ton uranium http://www.nucleartourist.com/type/candu.htm

  185. Calculated: 7500×106 watt-days/tonne × (0.020 tonnes per bundle) × 86400 seconds/day = 1.3×1013 J of burnup energy. Electricity = burnup × ~29% efficiency = 3.8×1012 J

  186. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  187. Calculated: 4.2×109 J/ton of TNT-equivalent × 1×103 tons/megaton = 4.2×1012 J/megaton of TNT-equivalent

  188. "747 Classics Technical Specs". Boeing. Archived from the original on 10 December 2007. Retrieved 12 December 2011. 183,380 L https://web.archive.org/web/20071210173616/http://www.boeing.com/commercial/747family/pf/pf_classics.html

  189. "Air BP Handbook of Products" (PDF). BP. Archived from the original (PDF) on 8 June 2011. Retrieved 19 August 2011. https://web.archive.org/web/20110608075828/http://www.bp.com/liveassets/bp_internet/aviation/air_bp/STAGING/local_assets/downloads_pdfs/a/air_bp_products_handbook_04004_1.pdf

  190. Calculated: 183380 liters × 0.804 kg/L × 43.15 MJ/kg = 6.36×1012 J

  191. "A380-800 Dimensions & key data". Airbus. Archived from the original on 8 July 2012. Retrieved 12 December 2011. 320,000 L https://web.archive.org/web/20120708071501/http://www.airbus.com/aircraftfamilies/passengeraircraft/a380family/a380-800/specifications/

  192. "Air BP Handbook of Products" (PDF). BP. Archived from the original (PDF) on 8 June 2011. Retrieved 19 August 2011. https://web.archive.org/web/20110608075828/http://www.bp.com/liveassets/bp_internet/aviation/air_bp/STAGING/local_assets/downloads_pdfs/a/air_bp_products_handbook_04004_1.pdf

  193. Calculated: 320,000 L × 0.804 kg/L × 43.15  MJ/kg = 11.1×1012 J

  194. "International Space Station: The ISS to Date". NASA. Archived from the original on 11 June 2015. Retrieved 23 August 2011. https://web.archive.org/web/20150611163133/http://www.nasa.gov/mission_pages/station/structure/isstodate.html

  195. "The wizards of orbits". European Space Agency. Retrieved 10 December 2011. The International Space Station, for example, flies at 7.7 km/s in one of the lowest practicable orbits http://www.esa.int/esaCP/ESA104MBAMC_FeatureWeek_0.html

  196. Calculated: E = 1/2 m.v2 = 1/2 × 417000 kg × (7700m/s)2 = 1.2×1013 J

  197. Interrante, Abbey (6 September 2024). "Parker Solar Probe". blogs.nasa.gov. Retrieved 23 September 2024. https://blogs.nasa.gov/parkersolarprobe/

  198. "1/2*650kg*(430000mph)^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=1/2*650kg*(430000mph)%5E2

  199. "NASA - NSSDCA - Spacecraft - Details". NASA. Retrieved 24 September 2024. https://nssdc.gsfc.nasa.gov/nmc/spacecraft/display.action?id=2018-065A

  200. "What was the yield of the Hiroshima bomb?". Warbird's Forum. Retrieved 4 November 2011. 21 kt http://www.warbirdforum.com/hiroshim.htm

  201. Calculated: 15 kt = 15×109 grams of TNT-equivalent × 4.2×103 J/gram TNT-equivalent = 6.3×1013 J

  202. "Conversion from kg to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=-3&num=1&From=kg&To=j&Action=Convert+value+and+show+factor

  203. "JPL – Fireballs and bolides". Jet Propulsion Laboratory. NASA. Retrieved 13 April 2017. https://cneos.jpl.nasa.gov/fireballs/

  204. "How much energy does a hurricane release?". FAQ : HURRICANES, TYPHOONS, AND TROPICAL CYCLONES. NOAA. Retrieved 12 November 2011. http://www.aoml.noaa.gov/hrd/tcfaq/D7.html

  205. "The Gathering Storms". COSMOS. Archived from the original on 4 April 2012. Retrieved 10 December 2011. https://web.archive.org/web/20120404113209/http://www.cosmosmagazine.com/node/3302/full

  206. "Country Comparison :: Electricity – consumption". The World Factbook. CIA. Archived from the original on 28 January 2012. Retrieved 11 December 2011. https://web.archive.org/web/20120128032332/https://www.cia.gov/library/publications/the-world-factbook/rankorder/2042rank.html

  207. Calculated: 288.6×106 kWh × 3.60×106 J/kWh = 1.04×1015 J

  208. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. 1.355818 http://physics.nist.gov/Pubs/SP811/appenB8.html

  209. Calculated: 4.2×109 J/ton of TNT-equivalent × 1×106 tons/megaton = 4.2×1015 J/megaton of TNT-equivalent

  210. "Country Comparison :: Electricity – consumption". The World Factbook. CIA. Archived from the original on 28 January 2012. Retrieved 11 December 2011. https://web.archive.org/web/20120128032332/https://www.cia.gov/library/publications/the-world-factbook/rankorder/2042rank.html

  211. Calculated: 3.02×109 kWh × 3.60×106 J/kWh = 1.09×1016 J

  212. "Castle Bravo: The Largest U.S. Nuclear Explosion | Brookings". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104171317/https://www.brookings.edu/articles/castle-bravo-the-largest-u-s-nuclear-explosion/

  213. "0.145kg*c^2*(1/sqrt(1-0.99^2)-1) - Wolfram|Alpha". www.wolframalpha.com. Retrieved 4 January 2024. https://www.wolframalpha.com/

  214. Calculated: E = mc2 = 1 kg × (2.998×108 m/s)2 = 8.99×1016 J

  215. Choy, George L.; Boatwright, John (1 January 2007). "The Energy Radiated by the 26 December 2004 Sumatra–Andaman Earthquake Estimated from 10-Minute P -Wave Windows". Bulletin of the Seismological Society of America. 97 (1A): S18 – S24. Bibcode:2007BuSSA..97S..18C. doi:10.1785/0120050623. ISSN 1943-3573. https://pubs.geoscienceworld.org/bssa/article/97/1A/S18/146582/The-Energy-Radiated-by-the-26-December-2004

  216. The Earth has a cross section of 1.274×1014 square meters and the solar constant is 1361 watts per square meter. Note, however, that because portions of Earth reflect light well, the actual energy absorbed is about 1.2*10^17 watts, from an average albedo of 0.3. /wiki/Cross_section_(geometry)

  217. "The Soviet Weapons Program – The Tsar Bomba". The Nuclear Weapon Archive. Retrieved 4 November 2011. http://www.nuclearweaponarchive.org/Russia/TsarBomba.html

  218. Calculated: 50×106 tons TNT-equivalent × 4.2×109 J/ton TNT-equivalent = 2.1×1017 J

  219. Díaz, J. S.; Rigby, S. E. (1 September 2022). "Energetic output of the 2022 Hunga Tonga–Hunga Ha'apai volcanic eruption from pressure measurements". Shock Waves. 32 (6): 553–561. Bibcode:2022ShWav..32..553D. doi:10.1007/s00193-022-01092-4. ISSN 1432-2153. https://doi.org/10.1007%2Fs00193-022-01092-4

  220. Calculated to be 61 megatons of TNT, equivalent to 2.552×1017 J

  221. "Country Comparison :: Electricity – consumption". The World Factbook. CIA. Archived from the original on 28 January 2012. Retrieved 11 December 2011. https://web.archive.org/web/20120128032332/https://www.cia.gov/library/publications/the-world-factbook/rankorder/2042rank.html

  222. Calculated: 115.6×109 kWh × 3.60×106 J/kWh = 4.16×1017 J

  223. "1000*1/2*(0.1*299792458)^2*1/sqrt(1-0.1^2) joules - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=1000*1/2*(0.1*299792458)%5E2*1/sqrt(1-0.1%5E2)+joules

  224. Alexander, R. McNeill (1989). Dynamics of Dinosaurs and Other Extinct Giants. Columbia University Press. p. 144. ISBN 978-0-231-06667-9. the explosion of the island volcano Krakatoa in 1883, had about 200 megatonnes energy. 978-0-231-06667-9

  225. Calculated: 200×106 tons of TNT equivalent × 4.2×109 J/ton of TNT equivalent = 8.4×1017 J

  226. This value appears to be referred only to the third explosion on 27 August, 10.02 a.m. According to reports, the third explosion was by far the largest; it is associated to the biggest sound in the recorded history, the highest tsunami during the eruption and the most powerful shock waves rounded the world several times. 200 Megatons of TNT are often referred as the total energy released by the entire eruption, but it's plausible that are rather the energy released by the single third explosion, considering the effects.[1][2] http://www.branchcollective.org/?ps_articles=monique-morgan-the-eruption-of-krakatoa-also-known-as-krakatau-in-1883

  227. "2602TWh to J - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=2602TWh+to+J

  228. "WNA report: Nuclear power generation increased globally in 2023". www.ans.org. Retrieved 23 September 2024. https://www.ans.org/news/article-6319/wna-report-nuclear-power-generation-increased-globally-in-2023/

  229. Yoshida, Masaki; Santosh, M. (1 July 2020). "Energetics of the Solid Earth: An integrated perspective". Energy Geoscience. 1 (1–2): 28–35. Bibcode:2020EneG....1...28Y. doi:10.1016/j.engeos.2020.04.001. ISSN 2666-7592. https://doi.org/10.1016%2Fj.engeos.2020.04.001

  230. Yoshida, Masaki; Santosh, M. (1 July 2020). "Energetics of the Solid Earth: An integrated perspective". Energy Geoscience. 1 (1–2): 28–35. Bibcode:2020EneG....1...28Y. doi:10.1016/j.engeos.2020.04.001. ISSN 2666-7592. https://doi.org/10.1016%2Fj.engeos.2020.04.001

  231. Mizokami, Kyle (1 April 2019). "Here's What Would Happen If We Blew Up All the World's Nukes at Once". Popular Mechanics. Retrieved 8 April 2021. https://www.popularmechanics.com/military/weapons/a27008390/blow-up-every-nuke/

  232. "Country Comparison :: Electricity – consumption". The World Factbook. CIA. Archived from the original on 28 January 2012. Retrieved 11 December 2011. https://web.archive.org/web/20120128032332/https://www.cia.gov/library/publications/the-world-factbook/rankorder/2042rank.html

  233. Calculated: 3.741×1012 kWh × 3.600×106 J/kWh = 1.347×1019 J

  234. "United States". The World Factbook. USA. Retrieved 11 December 2011. https://www.cia.gov/the-world-factbook/countries/united-states/

  235. Calculated: 3.953×1012 kWh × 3.600×106 J/kWh = 1.423×1019 J

  236. "How much energy does a hurricane release?". FAQ : HURRICANES, TYPHOONS, AND TROPICAL CYCLONES. NOAA. Retrieved 12 November 2011. http://www.aoml.noaa.gov/hrd/tcfaq/D7.html

  237. "World". The World Factbook. CIA. Retrieved 11 December 2011. https://www.cia.gov/the-world-factbook/countries/world/

  238. Calculated: 17.8×1012 kWh × 3.60×106 J/kWh = 6.41×1019 J

  239. "World". The World Factbook. CIA. Retrieved 11 December 2011. https://www.cia.gov/the-world-factbook/countries/world/

  240. Calculated: 18.95×1012 kWh × 3.60×106 J/kWh = 6.82×1019 J

  241. Klemetti, Erik (10 April 2015). "Tambora 1815: Just How Big Was The Eruption?". Wired. ISSN 1059-1028. Retrieved 25 May 2024. https://www.wired.com/2015/04/tambora-1815-just-big-eruption/

  242. "1/6(1km^3)(3.5 g/cm^3)(20km/s)^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=1/6(1km%5E3)(3.5+g/cm%5E3)(20km/s)%5E2

  243. "How often do asteroids strike Earth?". Catalina Sky Survey. Retrieved 11 September 2024. https://catalina.lpl.arizona.edu/faq/how-often-do-asteroids-strike-earth

  244. "Severe Weather: Hurricane energetics". www.atmo.arizona.edu. Retrieved 24 May 2024. http://www.atmo.arizona.edu/students/courselinks/spring07/atmo336s3/lectures/sec2/hurricanes4.html

  245. "Statistical Review of World Energy 2011" (PDF). BP. Archived from the original (PDF) on 2 September 2011. Retrieved 9 December 2011. https://web.archive.org/web/20110902033116/http://www.bp.com/assets/bp_internet/globalbp/globalbp_uk_english/reports_and_publications/statistical_energy_review_2011/STAGING/local_assets/pdf/statistical_review_of_world_energy_full_report_2011.pdf

  246. Calculated: 12002.4×106 tonnes of oil equivalent × 42×109 J/tonne of oil equivalent = 5.0×1020 J

  247. Institute, Energy. "Home". Statistical review of world energy. Retrieved 11 September 2024. https://www.energyinst.org/statistical-review

  248. "2023 saw a second consecutive record year for global primary energy consumption as it grew by 2%, reaching 620 EJ."

  249. "Global Uranium Resources to Meet Projected Demand | International Atomic Energy Agency". iaea.org. June 2006. Retrieved 26 December 2016. http://www.iaea.org/NewsCenter/News/2006/uranium_resources.html

  250. "U.S. Energy Information Administration, International Energy Generation". http://www.eia.doe.gov/pub/international/iealf/table63.xls

  251. "U.S. EIA International Energy Outlook 2007". eia.doe.gov. Retrieved 26 December 2016. http://www.eia.doe.gov/oiaf/ieo/electricity.html

  252. Final number is computed. Energy Outlook 2007 shows 15.9% of world energy is nuclear. IAEA estimates conventional uranium stock, at today's prices is sufficient for 85 years. Convert billion kilowatt-hours to joules then: 6.25×1019×0.159×85 = 8.01×1020.

  253. "Statistical Review of World Energy 2011" (PDF). BP. Archived from the original (PDF) on 2 September 2011. Retrieved 9 December 2011. https://web.archive.org/web/20110902033116/http://www.bp.com/assets/bp_internet/globalbp/globalbp_uk_english/reports_and_publications/statistical_energy_review_2011/STAGING/local_assets/pdf/statistical_review_of_world_energy_full_report_2011.pdf

  254. Calculated: "6608.9 trillion cubic feet" => 6608.9×103 billion cubic feet × 0.025 million tonnes of oil equivalent/billion cubic feet × 1×106 tonnes of oil equivalent/million tonnes of oil equivalent × 42×109 J/tonne of oil equivalent = 6.9×1021 J

  255. Yoshida, Masaki; Santosh, M. (1 July 2020). "Energetics of the Solid Earth: An integrated perspective". Energy Geoscience. 1 (1–2): 28–35. Bibcode:2020EneG....1...28Y. doi:10.1016/j.engeos.2020.04.001. ISSN 2666-7592. https://doi.org/10.1016%2Fj.engeos.2020.04.001

  256. "Statistical Review of World Energy 2011" (PDF). BP. Archived from the original (PDF) on 2 September 2011. Retrieved 9 December 2011. https://web.archive.org/web/20110902033116/http://www.bp.com/assets/bp_internet/globalbp/globalbp_uk_english/reports_and_publications/statistical_energy_review_2011/STAGING/local_assets/pdf/statistical_review_of_world_energy_full_report_2011.pdf

  257. Calculated: "188.8 thousand million tonnes" => 188.8×109 tonnes of oil × 42×109 J/tonne of oil = 7.9×1021 J

  258. Cheng, Lijing; Foster, Grant; Hausfather, Zeke; Trenberth, Kevin E.; Abraham, John (2022). "Improved Quantification of the Rate of Ocean Warming". Journal of Climate. 35 (14): 4827–4840. Bibcode:2022JCli...35.4827C. doi:10.1175/JCLI-D-21-0895.1.Calculated per reference: 0.58 W·m−2 is 9.3×1021 J·yr−1 in the global domain https://doi.org/10.1175%2FJCLI-D-21-0895.1

  259. Matsuzawa, Toru (1 June 2014). "The Largest Earthquakes We Should Prepare for". Journal of Disaster Research. 9 (3): 248–251. doi:10.20965/jdr.2014.p0248. https://www.fujipress.jp/jdr/dr/dsstr000900030248/

  260. The Earth has a cross section of 1.274×1014 square meters and the solar constant is 1361 watts per square meter. Note, however, that because portions of Earth reflect light well, the actual energy absorbed is about 1.2*10^17 watts, from an average albedo of 0.3. /wiki/Cross_section_(geometry)

  261. Calculated: 1.27×1014 m2 × 1370 W/m2 × 86400 s/day = 1.5×1022 J

  262. Holm-Alwmark, Sanna; Rae, Auriol S. P.; Ferrière, Ludovic; Alwmark, Carl; Collins, Gareth S. (2 October 2017). "Combining shock barometry with numerical modeling: Insights into complex crater formation—The example of the Siljan impact structure (Sweden)". Meteoritics & Planetary Science. 52 (12): 2521–2549. Bibcode:2017M&PS...52.2521H. doi:10.1111/maps.12955. ISSN 1086-9379. https://onlinelibrary.wiley.com/doi/10.1111/maps.12955

  263. "Statistical Review of World Energy 2011" (PDF). BP. Archived from the original (PDF) on 2 September 2011. Retrieved 9 December 2011. https://web.archive.org/web/20110902033116/http://www.bp.com/assets/bp_internet/globalbp/globalbp_uk_english/reports_and_publications/statistical_energy_review_2011/STAGING/local_assets/pdf/statistical_review_of_world_energy_full_report_2011.pdf

  264. Calculated: 860938 million tonnes of coal => 860938×106 tonnes of coal × (1/1.5 tonne of oil equivalent / tonne of coal) × 42×109 J/tonne of oil equivalent = 2.4×1022 J

  265. "Global Uranium Resources to Meet Projected Demand | International Atomic Energy Agency". iaea.org. June 2006. Retrieved 26 December 2016. http://www.iaea.org/NewsCenter/News/2006/uranium_resources.html

  266. "Statistical Review of World Energy 2011" (PDF). BP. Archived from the original (PDF) on 2 September 2011. Retrieved 9 December 2011. https://web.archive.org/web/20110902033116/http://www.bp.com/assets/bp_internet/globalbp/globalbp_uk_english/reports_and_publications/statistical_energy_review_2011/STAGING/local_assets/pdf/statistical_review_of_world_energy_full_report_2011.pdf

  267. Calculated: natural gas + petroleum + coal = 6.9×1021 J + 7.9×1021 J + 2.4×1022 J = 3.9×1022 J

  268. Fujii, Yushiro; Satake, Kenji; Watada, Shingo; Ho, Tung-Cheng (1 December 2021). "Re-examination of Slip Distribution of the 2004 Sumatra–Andaman Earthquake (Mw 9.2) by the Inversion of Tsunami Data Using Green's Functions Corrected for Compressible Seawater Over the Elastic Earth". Pure and Applied Geophysics. 178 (12): 4777–4796. doi:10.1007/s00024-021-02909-6. ISSN 1420-9136. https://doi.org/10.1007%2Fs00024-021-02909-6

  269. Gudmundsson, Agust (27 May 2014). "Elastic energy release in great earthquakes and eruptions". Frontiers in Earth Science. 2: 10. Bibcode:2014FrEaS...2...10G. doi:10.3389/feart.2014.00010. ISSN 2296-6463. https://doi.org/10.3389%2Ffeart.2014.00010

  270. "Global Uranium Resources to Meet Projected Demand | International Atomic Energy Agency". iaea.org. June 2006. Retrieved 26 December 2016. http://www.iaea.org/NewsCenter/News/2006/uranium_resources.html

  271. Richards, Mark A.; Alvarez, Walter; Self, Stephen; Karlstrom, Leif; Renne, Paul R.; Manga, Michael; Sprain, Courtney J.; Smit, Jan; Vanderkluysen, Loÿc; Gibson, Sally A. (1 November 2015). "Triggering of the largest Deccan eruptions by the Chicxulub impact". Geological Society of America Bulletin. 127 (11–12): 1507–1520. Bibcode:2015GSAB..127.1507R. doi:10.1130/B31167.1. ISSN 0016-7606. S2CID 3463018. https://doi.org/10.1130/B31167.1

  272. Echaurren, J. C. (2010). Numerical Estimations of Hydrothermal Zones, Trough Mathematical Calculations for Impact Conditions, on the Sudbury Structure, Ontario, Canada. Astrobiology Science Conference 2010. Bibcode:2010LPICo1538.5192E. https://ui.adsabs.harvard.edu/abs/2010LPICo1538.5192E/abstract

  273. Margot, Jean-Luc; Campbell, Donald B.; Giorgini, Jon D.; Jao, Joseph S.; Snedeker, Lawrence G.; Ghigo, Frank D.; Bonsall, Amber (July 2024). "Spin state and moment of inertia of Venus". Nature Astronomy. 5 (7): 676–683. arXiv:2103.01504. doi:10.1038/s41550-021-01339-7. ISSN 2397-3366. https://www.nature.com/articles/s41550-021-01339-7

  274. "1/2*0.337*4.87*10^24kg*(6052km)^2*(2pi/(243*86400s))^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=1/2*0.337*4.87*10%5E24kg*(6052km)%5E2*(2pi/(243*86400s))%5E2

  275. Clarification of calculation: Rotational energy = (defined equal to) 1/2 * Moment of Inertia Factor * Mass * Radius^2 * Angular Velocity^2 The inertial factor has been normalized, and takes on a value between 0 and 1. In this case it is 0.337(24).

  276. Yoshida, Masaki; Santosh, M. (1 July 2020). "Energetics of the Solid Earth: An integrated perspective". Energy Geoscience. 1 (1–2): 28–35. Bibcode:2020EneG....1...28Y. doi:10.1016/j.engeos.2020.04.001. ISSN 2666-7592. https://doi.org/10.1016%2Fj.engeos.2020.04.001

  277. The Earth has a cross section of 1.274×1014 square meters and the solar constant is 1361 watts per square meter. Note, however, that because portions of Earth reflect light well, the actual energy absorbed is about 1.2*10^17 watts, from an average albedo of 0.3. /wiki/Cross_section_(geometry)

  278. Calculated: 1.27×1014 m2 × 1370 W/m2 × 86400 s/day = 5.5×1024 J

  279. Hudson, Hugh S. (8 September 2021). "Carrington Events". Annual Review of Astronomy and Astrophysics. 59 (1): 445–477. Bibcode:2021ARA&A..59..445H. doi:10.1146/annurev-astro-112420-023324. ISSN 0066-4146. https://www.annualreviews.org/doi/10.1146/annurev-astro-112420-023324

  280. Zahnle, K. J. (26 August 2018). "Climatic Effect of Impacts on the Ocean". Comparative Climatology of Terrestrial Planets III: From Stars to Surfaces. 2065: 2056. Bibcode:2018LPICo2065.2056Z. https://ntrs.nasa.gov/citations/20180006692

  281. Howard, Ward S.; Tilley, Matt A.; Corbett, Hank; Youngblood, Allison; Loyd, R. O. Parke; Ratzloff, Jeffrey K.; Law, Nicholas M.; Fors, Octavi; del Ser, Daniel; Shkolnik, Evgenya L.; Ziegler, Carl; Goeke, Erin E.; Pietraallo, Aaron D.; Haislip, Joshua (20 June 2018). "The First Naked-Eye Superflare Detected from Proxima Centauri". The Astrophysical Journal Letters. 860 (2): L30. arXiv:1804.02001. Bibcode:2018ApJ...860L..30H. doi:10.3847/2041-8213/aacaf3. ISSN 2041-8205. https://doi.org/10.3847%2F2041-8213%2Faacaf3

  282. "Ask Us: Sun: Amount of Energy the Earth Gets from the Sun". Cosmicopia. NASA. Archived from the original on 16 August 2000. Retrieved 4 November 2011. https://web.archive.org/web/20000816180724/http://helios.gsfc.nasa.gov/qa_sun.html#sunenergymass

  283. Lii, Jiangning. "Seismic effects of the Caloris basin impact, Mercury" (PDF). MIT. https://dspace.mit.edu/bitstream/handle/1721.1/69472/775585855-MIT.pdf?sequence=2

  284. Okamoto, Soshi; Notsu, Yuta; Maehara, Hiroyuki; Namekata, Kosuke; Honda, Satoshi; Ikuta, Kai; Nogami, Daisaku; Shibata, Kazunari (11 January 2021). "Statistical Properties of Superflares on Solar-type Stars: Results Using All of the Kepler Primary Mission Data". The Astrophysical Journal. 906 (2): 72. arXiv:2011.02117. Bibcode:2021ApJ...906...72O. doi:10.3847/1538-4357/abc8f5. ISSN 0004-637X. https://doi.org/10.3847%2F1538-4357%2Fabc8f5

  285. "1.386 billion km^3 * 1024kg/1m^3 * (2257J+4.19*(100-20)cal)/g - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=1.386+billion+km%5E3+*+1024kg/1m%5E3+*+(2257J%2B4.19*(100-20)cal)/g

  286. "Heat of Vaporization". Archived from the original on 7 April 2023. Retrieved 24 September 2024. http://www.kentchemistry.com/links/Energy/HeatVaporization.htm

  287. "SCTqh.png (PNG Image, 500 x 300 pixels)". i.sstatic.net. Retrieved 24 September 2024Heat Capacity v.s. Temperature graph for water. 4.19 taken as average value for 20 to 100 degrees C.{{cite web}}: CS1 maint: postscript (link) https://i.sstatic.net/SCTqh.png

  288. "0.145kg*c^2*(1/sqrt(1-0.9999999999999999999999951^2)-1) - Wolfram|Alpha". www.wolframalpha.com. Retrieved 4 January 2024. https://www.wolframalpha.com/

  289. "Moon Fact Sheet". NASA. Retrieved 16 December 2011. https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html

  290. Calculated: KE = 1/2 × m × v2. v = 1.023×103 m/s. m = 7.349×1022 kg. KE = 1/2 × (7.349×1022 kg) × (1.023×103 m/s)2 = 3.845×1028 J.

  291. Inoue, Shun; Maehara, Hiroyuki; Notsu, Yuta; Namekata, Kosuke; Honda, Satoshi; Namizaki, Keiichi; Nogami, Daisaku; Shibata, Kazunari (2023). "Detection of a High-velocity Prominence Eruption Leading to a CME Associated with a Superflare on the RS CVn-type Star V1355 Orionis". The Astrophysical Journal. 948 (1): 9. arXiv:2301.13453. Bibcode:2023ApJ...948....9I. doi:10.3847/1538-4357/acb7e8. ISSN 0004-637X. https://doi.org/10.3847%2F1538-4357%2Facb7e8

  292. Cowing, Keith (28 April 2023). "Superflare With Massive, High-velocity Prominence Eruption". SpaceRef. Retrieved 26 May 2024. https://spaceref.com/science-and-exploration/superflare-with-massive-high-velocity-prominence-eruption/

  293. "Moment of Inertia—Earth". Eric Weisstein's World of Physics. Retrieved 5 November 2011. http://scienceworld.wolfram.com/physics/MomentofInertiaEarth.html

  294. Allain, Rhett. "Rotational energy of the Earth as an energy source". .dotphysics. Science Blogs. Archived from the original on 17 November 2011. Retrieved 5 November 2011. the Earth takes 23.9345 hours to rotate https://web.archive.org/web/20111117014824/http://scienceblogs.com/dotphysics/2009/06/rotational-energy-of-the-earth-as-an-energy-source.php

  295. Calculated: E_rotational = 1/2 × I × w2 = 1/2 × (8.0×1037 kg m2) × (2×pi/(23.9345 hour period × 3600 seconds/hour))2 = 2.1×1029 J

  296. "gravitational binding energy calculator - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=gravitational+binding+energy+calculator&assumption=%7B%22F%22,+%22UniformDensitySphereGravitationalBindingEnergy%22,+%22r%22%7D+-%3E%222439.7+km%22&assumption=%7B%22FS%22%7D+-%3E+%7B%7B%22UniformDensitySphereGravitationalBindingEnergy%22,+%22U%22%7D,+%7B%22UniformDensitySphereGravitationalBindingEnergy%22,+%22m%22%7D,+%7B%22UniformDensitySphereGravitationalBindingEnergy%22,+%22r%22%7D%7D&assumption=%7B%22F%22,+%22UniformDensitySphereGravitationalBindingEnergy%22,+%22m%22%7D+-%3E%223.3011e+23+kg%22

  297. Dhar, Michael (6 November 2022). "What was Earth's biggest explosion?". livescience.com. Retrieved 27 May 2024. https://www.livescience.com/biggest-explosions-on-earth

  298. Firestone, Richard B. (29 May 2023). "The origin of the terrestrial planets". arXiv:2305.18635 [astro-ph.EP]. /wiki/ArXiv_(identifier)

  299. "Ask Us: Sun: Amount of Energy the Earth Gets from the Sun". Cosmicopia. NASA. Archived from the original on 16 August 2000. Retrieved 4 November 2011. https://web.archive.org/web/20000816180724/http://helios.gsfc.nasa.gov/qa_sun.html#sunenergymass

  300. Calculated: 3.8×1026 J/s × 86400 s/day = 3.3×1031 J

  301. Typinski, Dave (January 2009). "Earth's Gravitational Binding Energy" (PDF). Archived from the original (PDF) on 4 January 2024. Retrieved 4 January 2024. https://web.archive.org/web/20240104173513/http://typnet.net/Essays/EarthBindGraphics/EarthBind.pdf

  302. "pi*(11700km)^2*stefan boltzmann constant*(25200K)^4*yr - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=pi*(11700km)%5E2*stefan+boltzmann+constant*(25200K)%5E4*yr

  303. "Earth Fact Sheet". 26 December 2023. Archived from the original on 26 December 2023. Retrieved 4 January 2024. https://web.archive.org/web/20231226062838/https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html

  304. KE = 1/2 × 5.9722×10^24 kg × (30.29 km/s)^2 = 2.74×10^33 J

  305. "Ask Us: Sun: Amount of Energy the Earth Gets from the Sun". Cosmicopia. NASA. Archived from the original on 16 August 2000. Retrieved 4 November 2011. https://web.archive.org/web/20000816180724/http://helios.gsfc.nasa.gov/qa_sun.html#sunenergymass

  306. Calculated: 3.8×1026 J/s × 86400 s/day × 365.25 days/year = 1.2×1034 J

  307. Schaefer, Bradley E. (2 May 2024). "Recurrent Nova V2487 Oph Had Superflares in 1941 and 1942 With Radiant Energies 1042.5±1.6 Ergs". arXiv:2405.01210 [astro-ph.SR]. /wiki/ArXiv_(identifier)

  308. "9.9e-30g/cm3*1ly3*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024. https://www.wolframalpha.com/input?i=9.9e-30g/cm3*1ly3*c%5E2

  309. "WMAP- Content of the Universe". wmap.gsfc.nasa.gov. Retrieved 11 September 2024. https://wmap.gsfc.nasa.gov/universe/uni_matter.html

  310. "NASA - Cosmic Explosion Among the Brightest in Recorded History". www.nasa.gov. Retrieved 27 March 2022. https://www.nasa.gov/vision/universe/watchtheskies/swift_nsu_0205.html

  311. Palmer, D. M.; Barthelmy, S.; Gehrels, N.; Kippen, R. M.; Cayton, T.; Kouveliotou, C.; Eichler, D.; Wijers, R. a. M. J.; Woods, P. M.; Granot, J.; Lyubarsky, Y. E. (April 2005). "A giant γ-ray flare from the magnetar SGR 1806–20". Nature. 434 (7037): 1107–1109. arXiv:astro-ph/0503030. Bibcode:2005Natur.434.1107P. doi:10.1038/nature03525. ISSN 1476-4687. PMID 15858567. S2CID 16579885. https://www.nature.com/articles/nature03525

  312. Stella, L.; Dall'Osso, S.; Israel, G. L.; Vecchio, A. (17 November 2005). "Gravitational Radiation from Newborn Magnetars in the Virgo Cluster". The Astrophysical Journal. 634 (2): L165 – L168. arXiv:astro-ph/0511068. Bibcode:2005ApJ...634L.165S. doi:10.1086/498685. ISSN 0004-637X. S2CID 18172538. https://iopscience.iop.org/article/10.1086/498685

  313. "7.346e 22kg*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024. https://www.wolframalpha.com/input?i=7.346e+22kg*c%5E2

  314. "Moon Fact Sheet". nssdc.gsfc.nasa.gov. Retrieved 13 September 2024. https://nssdc.gsfc.nasa.gov/planetary/factsheet/moonfact.html

  315. "WMAP- Content of the Universe". wmap.gsfc.nasa.gov. Retrieved 11 September 2024. https://wmap.gsfc.nasa.gov/universe/uni_matter.html

  316. "9.9e-30g/cm3*1pc3*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024. https://www.wolframalpha.com/input?i=9.9e-30g/cm3*1pc3*c%5E2

  317. U = ( 3 / 5 ) G M 2 r {\displaystyle U={\frac {(3/5)GM^{2}}{r}}} Chandrasekhar, S. 1939, An Introduction to the Study of Stellar Structure (Chicago: U. of Chicago; reprinted in New York: Dover), section 9, eqs. 90–92, p. 51 (Dover edition)Lang, K. R. 1980, Astrophysical Formulae (Berlin: Springer Verlag), p. 272

  318. "Earth Fact Sheet". nssdc.gsfc.nasa.gov. Retrieved 13 September 2024. https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html

  319. "5.9722e 24kg*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024. https://www.wolframalpha.com/input?i=5.9722e+24kg*c%5E2

  320. Frail, D. A.; Kulkarni, S. R.; Sari, R.; Djorgovski, S. G.; Bloom, J. S.; Galama, T. J.; Reichart, D. E.; Berger, E.; Harrison, F. A.; Price, P. A.; Yost, S. A.; Diercks, A.; Goodrich, R. W.; Chaffee, F. (2001). "Beaming in Gamma-Ray Bursts: Evidence for a Standard Energy Reservoir". The Astrophysical Journal. 562 (1): L55. arXiv:astro-ph/0102282. Bibcode:2001ApJ...562L..55F. doi:10.1086/338119. S2CID 1047372. "the gamma-ray energy release, corrected for geometry, is narrowly clustered around 5 × 1050 erg" /wiki/ArXiv_(identifier)

  321. Calculated: 5×1050 erg × 1×10−7 J/erg = 5×1043 J

  322. Lyutikov, Maxim (2022). "On the nature of fast blue optical transients". Monthly Notices of the Royal Astronomical Society. 515 (2): 2293–2304. arXiv:2204.08366. doi:10.1093/mnras/stac1717 – via Oxford Academic. https://academic.oup.com/mnras/article/515/2/2293/6612740

  323. Lu, Wenbin; Kumar, Pawan (28 September 2018). "On the Missing Energy Puzzle of Tidal Disruption Events". The Astrophysical Journal. 865 (2): 128. arXiv:1802.02151. Bibcode:2018ApJ...865..128L. doi:10.3847/1538-4357/aad54a. ISSN 1538-4357. S2CID 56015417. https://doi.org/10.3847%2F1538-4357%2Faad54a

  324. Coppejans, D. L.; Margutti, R.; Terreran, G.; Nayana, A. J.; Coughlin, E. R.; Laskar, T.; Alexander, K. D.; Bietenholz, M.; Caprioli, D.; Chandra, P.; Drout, M. R. (26 May 2020). "A Mildly Relativistic Outflow from the Energetic, Fast-rising Blue Optical Transient CSS161010 in a Dwarf Galaxy". The Astrophysical Journal. 895 (1): L23. arXiv:2003.10503. Bibcode:2020ApJ...895L..23C. doi:10.3847/2041-8213/ab8cc7. ISSN 2041-8213. S2CID 214623364. https://doi.org/10.3847%2F2041-8213%2Fab8cc7

  325. Frail, D. A.; Kulkarni, S. R.; Sari, R.; Djorgovski, S. G.; Bloom, J. S.; Galama, T. J.; Reichart, D. E.; Berger, E.; Harrison, F. A.; Price, P. A.; Yost, S. A.; Diercks, A.; Goodrich, R. W.; Chaffee, F. (1 November 2001). "Beaming in Gamma-Ray Bursts: Evidence for a Standard Energy Reservoir". The Astrophysical Journal. 562 (1): L55. arXiv:astro-ph/0102282. Bibcode:2001ApJ...562L..55F. doi:10.1086/338119. ISSN 0004-637X. https://iopscience.iop.org/article/10.1086/338119/meta

  326. Li, Miao; Li, Yuan; Bryan, Greg L.; Ostriker, Eve C.; Quataert, Eliot (5 May 2020). "The Impact of Type Ia Supernovae in Quiescent Galaxies. I. Formation of the Multiphase Interstellar Medium". The Astrophysical Journal. 894 (1): 44. arXiv:1909.03138. Bibcode:2020ApJ...894...44L. doi:10.3847/1538-4357/ab86b4. ISSN 0004-637X. https://doi.org/10.3847%2F1538-4357%2Fab86b4

  327. "Astronomy with an online telescope". Open Learning. Retrieved 11 September 2024. https://www.open.edu/openlearn/mod/oucontent/view.php?id=114771§ion=3.3

  328. "1.37e27 kg * 9e16 m^2/s^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=1.37e27+kg+*+9e16+m%5E2/s%5E2

  329. Frail, D. A.; Kulkarni, S. R.; Sari, R.; Djorgovski, S. G.; Bloom, J. S.; Galama, T. J.; Reichart, D. E.; Berger, E.; Harrison, F. A.; Price, P. A.; Yost, S. A.; Diercks, A.; Goodrich, R. W.; Chaffee, F. (1 November 2001). "Beaming in Gamma-Ray Bursts: Evidence for a Standard Energy Reservoir". The Astrophysical Journal. 562 (1): L55. arXiv:astro-ph/0102282. Bibcode:2001ApJ...562L..55F. doi:10.1086/338119. ISSN 0004-637X. https://iopscience.iop.org/article/10.1086/338119/meta

  330. Nakamura, Takayoshi; Umeda, Hideyuki; Iwamoto, Koichi; Nomoto, Ken’ichi; Hashimoto, Masa-aki; Hix, W. Raphael; Thielemann, Friedrich-Karl (10 July 2001). "Explosive Nucleosynthesis in Hypernovae". The Astrophysical Journal. 555 (2): 880–899. arXiv:astro-ph/0011184. Bibcode:2001ApJ...555..880N. doi:10.1086/321495. ISSN 0004-637X. https://iopscience.iop.org/article/10.1086/321495

  331. Nicholl, Matt; Blanchard, Peter K.; Berger, Edo; Chornock, Ryan; Margutti, Raffaella; Gomez, Sebastian; Lunnan, Ragnhild; Miller, Adam A.; Fong, Wen-fai; Terreran, Giacomo; Vigna-Gómez, Alejandro (September 2020). "An extremely energetic supernova from a very massive star in a dense medium". Nature Astronomy. 4 (9): 893–899. arXiv:2004.05840. Bibcode:2020NatAs...4..893N. doi:10.1038/s41550-020-1066-7. ISSN 2397-3366. S2CID 215744925. https://www.nature.com/articles/s41550-020-1066-7

  332. Suzuki, Akihiro; Nicholl, Matt; Moriya, Takashi J.; Takiwaki, Tomoya (1 February 2021). "Extremely Energetic Supernova Explosions Embedded in a Massive Circumstellar Medium: The Case of SN 2016aps". The Astrophysical Journal. 908 (1): 99. arXiv:2012.13283. Bibcode:2021ApJ...908...99S. doi:10.3847/1538-4357/abd6ce. ISSN 0004-637X. https://doi.org/10.3847%2F1538-4357%2Fabd6ce

  333. Godoy-Rivera, D.; Stanek, K. Z.; Kochanek, C. S.; Chen, Ping; Dong, Subo; Prieto, J. L.; Shappee, B. J.; Jha, S. W.; Foley, R. J.; Pan, Y.-C.; Holoien, T. W.-S.; Thompson, Todd. A.; Grupe, D.; Beacom, J. F. (1 April 2017). "The unexpected, long-lasting, UV rebrightening of the superluminous supernova ASASSN-15lh". Monthly Notices of the Royal Astronomical Society. 466 (2): 1428–1443. arXiv:1605.00645. doi:10.1093/mnras/stw3237. ISSN 0035-8711. https://doi.org/10.1093%2Fmnras%2Fstw3237

  334. Kankare, E.; Kotak, R.; Mattila, S.; Lundqvist, P.; Ward, M. J.; Fraser, M.; Lawrence, A.; Smartt, S. J.; Meikle, W. P. S.; Bruce, A.; Harmanen, J. (December 2017). "A population of highly energetic transient events in the centres of active galaxies". Nature Astronomy. 1 (12): 865–871. arXiv:1711.04577. Bibcode:2017NatAs...1..865K. doi:10.1038/s41550-017-0290-2. ISSN 2397-3366. S2CID 119421626. https://www.nature.com/articles/s41550-017-0290-2

  335. Both ASSASN-15lh and PS1-10adi are indicated as supernovae and probably they are; actually, other mechanisms are proposed to explain them, more or less in accordance to the characteristics of supernovae

  336. Yong, D.; Kobayashi, C.; Da Costa, G. S.; Bessell, M. S.; Chiti, A.; Frebel, A.; Lind, K.; Mackey, A. D.; Nordlander, T.; Asplund, M.; Casey, A. R. (8 July 2021). "R-Process elements from magnetorotational hypernovae". Nature. 595 (7866): 223–226. arXiv:2107.03010. Bibcode:2021Natur.595..223Y. doi:10.1038/s41586-021-03611-2. ISSN 0028-0836. PMID 34234332. S2CID 235755170. /wiki/Karin_Lind

  337. McBreen, S; Krühler, T; Rau, A; Greiner, J; Kann, D. A; Savaglio, S; Afonso, P; Clemens, C; Filgas, R; Klose, S; Küpüc Yoldas, A; Olivares E, F; Rossi, A; Szokoly, G. P; Updike, A; Yoldas, A (2010). "Optical and near-infrared follow-up observations of four Fermi/LAT GRBs: Redshifts, afterglows, energetics and host galaxies". Astronomy and Astrophysics. 516 (71): A71. arXiv:1003.3885. Bibcode:2010A&A...516A..71M. doi:10.1051/0004-6361/200913734. S2CID 119151764. /wiki/ArXiv_(identifier)

  338. Cenko, S. B; Frail, D. A; Harrison, F. A; Haislip, J. B; Reichart, D. E; Butler, N. R; Cobb, B. E; Cucchiara, A; Berger, E; Bloom, J. S; Chandra, P; Fox, D. B; Perley, D. A; Prochaska, J. X; Filippenko, A. V; Glazebrook, K; Ivarsen, K. M; Kasliwal, M. M; Kulkarni, S. R; LaCluyze, A. P; Lopez, S; Morgan, A. N; Pettini, M; Rana, V. R (2010). "Afterglow Observations of Fermi-LAT Gamma-Ray Bursts and the Emerging Class of Hyper-Energetic Events". The Astrophysical Journal. 732 (1): 29. arXiv:1004.2900. Bibcode:2011ApJ...732...29C. doi:10.1088/0004-637X/732/1/29. S2CID 50964480. /wiki/ArXiv_(identifier)

  339. Cenko, S. B; Frail, D. A; Harrison, F. A; Kulkarni, S. R; Nakar, E; Chandra, P; Butler, N. R; Fox, D. B; Gal-Yam, A; Kasliwal, M. M; Kelemen, J; Moon, D. -S; Price, P. A; Rau, A; Soderberg, A. M; Teplitz, H. I; Werner, M. W; Bock, D. C. -J; Bloom, J. S; Starr, D. A; Filippenko, A. V; Chevalier, R. A; Gehrels, N; Nousek, J. N; Piran, T; Piran, T (2010). "The Collimation and Energetics of the Brightest Swift Gamma-Ray Bursts". The Astrophysical Journal. 711 (2): 641–654. arXiv:0905.0690. Bibcode:2010ApJ...711..641C. doi:10.1088/0004-637X/711/2/641. S2CID 32188849. /wiki/Alicia_M._Soderberg

  340. Frail, Dale A. "GRB ENERGETICS. Then and Now" (PDF). tsvi.phys.huji.ac.il. Archived from the original (PDF) on 1 August 2014. https://web.archive.org/web/20140801172839/http://tsvi.phys.huji.ac.il/presentations/Frail_AstroExtreme.pdf

  341. Frail, Dale A. "Multi-wavelength afterglow observations" (PPT). fermi.gsfc.nasa.gov. Archived from the original (PPT) on 24 October 2023. https://web.archive.org/web/20231024160333/http://fermi.gsfc.nasa.gov/science/mtgs/grb2010/tue/Dale_Frail.ppt

  342. Ouyed, R.; Dey, J.; Dey, M. (August 2002). "Quark-Nova | Astronomy & Astrophysics (A&A)". Astronomy & Astrophysics. 390 (3): L39 – L42. doi:10.1051/0004-6361:20020982. https://www.aanda.org/component/article?access=bibcode&bibcode=&bibcode=2002A%2526A...390L..39OFUL

  343. Kasen, Daniel; Woosley, S. E.; Heger, Alexander (2011). "Pair Instability Supernovae: Light Curves, Spectra, and Shock Breakout". The Astrophysical Journal. 734 (2): 102. arXiv:1101.3336. Bibcode:2011ApJ...734..102K. doi:10.1088/0004-637X/734/2/102. S2CID 118508934. https://iopscience.iop.org/article/10.1088/0004-637X/734/2/102

  344. Sukhbold, Tuguldur; Woosley, S. E. (30 March 2016). "The Most Luminous Supernovae". The Astrophysical Journal Letters. 820 (2): L38. arXiv:1602.04865. Bibcode:2016ApJ...820L..38S. doi:10.3847/2041-8205/820/2/l38. ISSN 2041-8205. https://doi.org/10.3847%2F2041-8205%2F820%2F2%2Fl38

  345. Wiseman, p.; Wang, Y.; Hönig, S.; Castero-Segura, N.; Clark, P.; Frohmaier, C.; Fulton, M. D.; Leloudas, G.; Middleton, M.; Müller-Bravo, T. E.; Mummery, A.; Pursiainen, M; Smartt, S. J.; Smith, K.; Sullivan, M. (July 2023). "Multiwavelength observations of the extraordinary accretion event AT 2021lwx". Monthly Notices of the Royal Astronomical Society. 522 (3): 3992–4002. arXiv:2303.04412. doi:10.1093/mnras/stad1000. https://doi.org/10.1093%2Fmnras%2Fstad1000

  346. Ruffini, R.; Salmonson, J. D.; Wilson, J. R.; Xue, S. -S. (1 October 1999). "On the pair electromagnetic pulse of a black hole with electromagnetic structure". Astronomy and Astrophysics. 350: 334–343. arXiv:astro-ph/9907030. Bibcode:1999A&A...350..334R. ISSN 0004-6361. https://ui.adsabs.harvard.edu/abs/1999A&A...350..334R

  347. Ruffini, R.; Salmonson, J. D.; Wilson, J. R.; Xue, S. -S. (1 July 2000). "On the pair-electromagnetic pulse from an electromagnetic black hole surrounded by a baryonic remnant". Astronomy and Astrophysics. 359: 855–864. arXiv:astro-ph/0004257. Bibcode:2000A&A...359..855R. ISSN 0004-6361. https://ui.adsabs.harvard.edu/abs/2000A&A...359..855R

  348. De Colle, Fabio; Lu, Wenbin (September 2020). "Jets from Tidal Disruption Events". New Astronomy Reviews. 89: 101538. arXiv:1911.01442. Bibcode:2020NewAR..8901538D. doi:10.1016/j.newar.2020.101538. S2CID 207870076. /wiki/ArXiv_(identifier)

  349. Tamburini, Fabrizio; De Laurentis, Mariafelicia; Amati, Lorenzo; Thidé, Bo (6 November 2017). "General relativistic electromagnetic and massive vector field effects with gamma-ray burst production". Physical Review D. 96 (10): 104003. arXiv:1603.01464. Bibcode:2017PhRvD..96j4003T. doi:10.1103/PhysRevD.96.104003. https://link.aps.org/doi/10.1103/PhysRevD.96.104003

  350. Misra, Kuntal; Ghosh, Ankur; Resmi, L. (2023). "The Detection of Very High Energy Photons in Gamma Ray Bursts" (PDF). Physics News. 53. Tata Institute of Fundamental Research: 42–45. https://www.tifr.res.in/~ipa1970/news/V53-12/Vol53-12-A11.pdf

  351. Frederiks, D.; Svinkin, D.; Lysenko, A. L.; Molkov, S.; Tsvetkova, A.; Ulanov, M.; Ridnaia, A.; Lutovinov, A. A.; Lapshov, I.; Tkachenko, A.; Levin, V. (1 May 2023). "Properties of the Extremely Energetic GRB 221009A from Konus-WIND and SRG/ART-XC Observations". The Astrophysical Journal Letters. 949 (1): L7. arXiv:2302.13383. Bibcode:2023ApJ...949L...7F. doi:10.3847/2041-8213/acd1eb. ISSN 2041-8205. https://doi.org/10.3847%2F2041-8213%2Facd1eb

  352. "Sun Fact Sheet". NASA. Retrieved 15 October 2011. https://nssdc.gsfc.nasa.gov/planetary/factsheet/sunfact.html

  353. "Conversion from kg to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=30&num=2.0&From=kg&To=j&Action=Convert+value+and+show+factor

  354. Abbott, B.; et al. (2016). "Observation of Gravitational Waves from a Binary Black Hole Merger". Physical Review Letters. 116 (6): 061102. arXiv:1602.03837. Bibcode:2016PhRvL.116f1102A. doi:10.1103/PhysRevLett.116.061102. PMID 26918975. S2CID 124959784. /wiki/ArXiv_(identifier)

  355. If GW190521 is a boson star merging, the present one remains the largest. See note [246][247] /wiki/Boson_Star

  356. It is important to specify that the energetic reduction for beaming (invoked to explain so much energetics and jet breaks) is expected in the "Fireball model", which is the traditional one; other main models explain both Long and Short GRBs with binary systems, such as "Induced Gravitational Collapse", "Binary-Driven Hypernovae" which refer to the "Fireshell" one, in which cases the beaming isn't assumpted and the isotropic energy is a real value of energy due to the rotational energy of the stellar black hole and vacuum polarization in an electromagnetic field, which are able to explain energetics up and over 1047 J

  357. Tajima, Hiroyasu (2009). "Fermi Observations of high-energy gamma-ray emissions from GRB 080916C". arXiv:0907.0714 [astro-ph.HE]. /wiki/ArXiv_(identifier)

  358. Whalen, Daniel J.; Johnson, Jarrett L.; Smidt, Joseph; Meiksin, Avery; Heger, Alexander; Even, Wesley; Fryer, Chris L. (August 2013). "The Supernova That Destroyed a Protogalaxy: Prompt Chemical Enrichment and Supermassive Black Hole Growth". The Astrophysical Journal. 774 (1): 64. arXiv:1305.6966. Bibcode:2013ApJ...774...64W. doi:10.1088/0004-637X/774/1/64. ISSN 0004-637X. S2CID 59289675. https://doi.org/10.1088/0004-637x/774/1/64

  359. Chen, Ke-Jung; Heger, Alexander; Woosley, Stan; Almgren, Ann; Whalen, Daniel J.; Johnson, Jarrett L. (July 2014). "The General Relativistic Instability Supernova of a Supermassive Population III Star". The Astrophysical Journal. 790 (2): 162. arXiv:1402.4777. Bibcode:2014ApJ...790..162C. doi:10.1088/0004-637X/790/2/162. ISSN 0004-637X. S2CID 119269181. https://doi.org/10.1088/0004-637x/790/2/162

  360. Assuming the uncertainties about the masses of the objects, the values of the LIGO Data are taken in consideration; so we have a newborn black hole with about 142 solar masses and the conversion in gravitational waves of about 7 solar masses

  361. Abbott, R.; Abbott, T. D.; Abraham, S.; Acernese, F.; Ackley, K.; Adams, C.; Adhikari, R. X.; Adya, V. B.; Affeldt, C.; Agathos, M.; Agatsuma, K. (2 September 2020). "Properties and Astrophysical Implications of the 150 M ⊙ Binary Black Hole Merger GW190521". The Astrophysical Journal. 900 (1): L13. arXiv:2009.01190. Bibcode:2020ApJ...900L..13A. doi:10.3847/2041-8213/aba493. ISSN 2041-8213. S2CID 221447444. https://doi.org/10.3847%2F2041-8213%2Faba493

  362. LIGO Scientific Collaboration and Virgo Collaboration; Abbott, R.; Abbott, T. D.; Abraham, S.; Acernese, F.; Ackley, K.; Adams, C.; Adhikari, R. X.; Adya, V. B.; Affeldt, C.; Agathos, M. (2 September 2020). "GW190521: A Binary Black Hole Merger with a Total Mass of 150 M⊙". Physical Review Letters. 125 (10): 101102. arXiv:2009.01075. Bibcode:2020PhRvL.125j1102A. doi:10.1103/PhysRevLett.125.101102. PMID 32955328. S2CID 221447506. https://doi.org/10.1103%2FPhysRevLett.125.101102

  363. A research claims that this is instead a boson stars merging with approximately 8 times more probability than the black hole case; if so, the existence and the collision of boson stars there would be confirmed together. Furthermore, the energy released and the distance would be reduced.[3] See the following note for the link of the research /wiki/Boson_stars

  364. Bustillo, Juan Calderón; Sanchis-Gual, Nicolas; Torres-Forné, Alejandro; Font, José A.; Vajpeyi, Avi; Smith, Rory; Herdeiro, Carlos; Radu, Eugen; Leong, Samson H. W. (24 February 2021). "GW190521 as a Merger of Proca Stars: A Potential New Vector Boson of 8.7×10−13 eV". Physical Review Letters. 126 (8): 081101. arXiv:2009.05376. doi:10.1103/PhysRevLett.126.081101. hdl:10773/31565. PMID 33709746. S2CID 231719224. https://link.aps.org/doi/10.1103/PhysRevLett.126.081101

  365. It is important to specify that the energetic reduction for beaming (invoked to explain so much energetics and jet breaks) is expected in the "Fireball model", which is the traditional one; other main models explain both Long and Short GRBs with binary systems, such as "Induced Gravitational Collapse", "Binary-Driven Hypernovae" which refer to the "Fireshell" one, in which cases the beaming isn't assumpted and the isotropic energy is a real value of energy due to the rotational energy of the stellar black hole and vacuum polarization in an electromagnetic field, which are able to explain energetics up and over 1047 J

  366. Aimuratov, Y.; Becerra, L. M.; Bianco, C. L.; Cherubini, C.; Valle, M. Della; Filippi, S.; Li 李, Liang 亮; Moradi, R.; Rastegarnia, F.; Rueda, J. A.; Ruffini, R.; Sahakyan, N.; Wang 王, Y. 瑜; Zhang 张, S. R. 书瑞 (22 September 2023). "GRB-SN Association within the Binary-driven Hypernova Model". The Astrophysical Journal. 955 (2): 93. arXiv:2303.16902. Bibcode:2023ApJ...955...93A. doi:10.3847/1538-4357/ace721. ISSN 0004-637X. https://doi.org/10.3847%2F1538-4357%2Face721

  367. Burns, Eric; Svinkin, Dmitry; Fenimore, Edward; Kann, D. Alexander; Agüí Fernández, José Feliciano; Frederiks, Dmitry; Hamburg, Rachel; Lesage, Stephen; Temiraev, Yuri; Tsvetkova, Anastasia; Bissaldi, Elisabetta; Briggs, Michael S.; Dalessi, Sarah; Dunwoody, Rachel; Fletcher, Cori (1 March 2023). "GRB 221009A: The BOAT". The Astrophysical Journal Letters. 946 (1): L31. arXiv:2302.14037. Bibcode:2023ApJ...946L..31B. doi:10.3847/2041-8213/acc39c. ISSN 2041-8205. https://doi.org/10.3847%2F2041-8213%2Facc39c

  368. Abbasi, R.; Ackermann, M.; Adams, J.; Agarwalla, S. K.; Aguilar, J. A.; Ahlers, M.; Alameddine, J. M.; Amin, N. M.; Andeen, K.; Anton, G.; Argüelles, C.; Ashida, Y.; Athanasiadou, S.; Ausborm, L.; Axani, S. N. (2024). "Search for 10–1000 GeV Neutrinos from Gamma-Ray Bursts with IceCube". The Astrophysical Journal. 964 (2): 126. arXiv:2312.11515. Bibcode:2024ApJ...964..126A. doi:10.3847/1538-4357/ad220b. ISSN 0004-637X. https://doi.org/10.3847%2F1538-4357%2Fad220b

  369. Zhang 张, B. Theodore 兵; Murase, Kohta; Ioka, Kunihito; Song, Deheng; Yuan 袁, Chengchao 成超; Mészáros, Péter (1 April 2023). "External Inverse-compton and Proton Synchrotron Emission from the Reverse Shock as the Origin of VHE Gamma Rays from the Hyper-bright GRB 221009A". The Astrophysical Journal Letters. 947 (1): L14. arXiv:2211.05754. Bibcode:2023ApJ...947L..14Z. doi:10.3847/2041-8213/acc79f. ISSN 2041-8205. https://doi.org/10.3847%2F2041-8213%2Facc79f

  370. Toma, Kenji; Sakamoto, Takanori; Mészáros, Peter (April 2011). "Population III Gamma-Ray Burst Afterglows: Constraints on Stellar Masses and External Medium Densities". The Astrophysical Journal. 731 (2): 127. arXiv:1008.1269. Bibcode:2011ApJ...731..127T. doi:10.1088/0004-637X/731/2/127. ISSN 0004-637X. S2CID 119288325. https://doi.org/10.1088/0004-637x/731/2/127

  371. Garner, Rob (18 March 2020). "Quasar Tsunamis Rip Across Galaxies". NASA. Retrieved 28 March 2022. https://www.nasa.gov/feature/goddard/2020/quasar-tsunamis-rip-across-galaxies

  372. To determinate this value, the maximum energy of 1047 J for gamma-ray burts is taken in consideration; then six orders of magnitude are added, equivalent to ten million of years, the time frame in which the quasar tsunami will exceed the GRBs energetics over 1 million of times, according to the Nahum Arav's statement in the previous note

  373. Cavagnolo, K. W; McNamara, B. R; Wise, M. W; Nulsen, P. E. J; Brüggen, M; Gitti, M; Rafferty, D. A (2011). "A Powerful AGN Outburst in RBS 797". The Astrophysical Journal. 732 (2): 71. arXiv:1103.0630. Bibcode:2011ApJ...732...71C. doi:10.1088/0004-637X/732/2/71. S2CID 73653317. /wiki/ArXiv_(identifier)

  374. "4.297e 6*1.9788e 30*9e16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024. https://www.wolframalpha.com/input?i=4.297e+6*1.9788e+30*9e16

  375. Abuter, R.; Aimar, N.; Seoane, P. Amaro; Amorim, A.; Bauböck, M.; Berger, J. P.; Bonnet, H.; Bourdarot, G.; Brandner, W.; Cardoso, V.; Clénet, Y.; Davies, R.; Zeeuw, P. T. de; Dexter, J.; Drescher, A. (1 September 2023). "Polarimetry and astrometry of NIR flares as event horizon scale, dynamical probes for the mass of Sgr A*". Astronomy & Astrophysics. 677: L10. arXiv:2307.11821. Bibcode:2023A&A...677L..10G. doi:10.1051/0004-6361/202347416. ISSN 0004-6361. https://www.aanda.org/articles/aa/full_html/2023/09/aa47416-23/aa47416-23.html

  376. Nulsen, P. E. J.; Hambrick, D. C.; McNamara, B. R.; Rafferty, D.; Birzan, L.; Wise, M. W.; David, L. P. (2005). "The Powerful Outburst in Hercules A". The Astrophysical Journal. 625 (1): L9 – L12. arXiv:astro-ph/0504350. Bibcode:2005ApJ...625L...9N. doi:10.1086/430945. http://iopscience.iop.org/1538-4357/625/1/L9/fulltext/19121.text.html

  377. Li, Shuang-Liang; Cao, Xinwu (June 2012). "Constraints on Jet Formation Mechanisms with the Most Energetic Giant Outbursts in MS 0735+7421". The Astrophysical Journal. 753 (1): 24. arXiv:1204.2327. Bibcode:2012ApJ...753...24L. doi:10.1088/0004-637X/753/1/24. ISSN 0004-637X. S2CID 119236058. https://doi.org/10.1088/0004-637x/753/1/24

  378. Giacintucci, S.; Markevitch, M.; Johnston-Hollitt, M.; Wik, D. R.; Wang, Q. H. S.; Clarke, T. E. (February 2020). "Discovery of a Giant Radio Fossil in the Ophiuchus Galaxy Cluster". The Astrophysical Journal. 891 (1): 1. arXiv:2002.01291. Bibcode:2020ApJ...891....1G. doi:10.3847/1538-4357/ab6a9d. ISSN 0004-637X. S2CID 211020555. https://doi.org/10.3847%2F1538-4357%2Fab6a9d

  379. Siegel, Ethan. "Merging Supermassive Black Holes Will Become The Most Energetic Events Of All". Forbes. Retrieved 21 March 2022. https://www.forbes.com/sites/startswithabang/2020/03/03/the-most-energetic-event-in-the-universe-hasnt-been-discovered-yet/

  380. Siegel, Ethan (10 March 2020). "Merging Supermassive Black Holes Are The Universe's Most Energetic Events Of All". Starts With A Bang!. Retrieved 21 March 2022. https://medium.com/starts-with-a-bang/merging-supermassive-black-holes-are-the-universes-most-energetic-events-of-all-be380cdb2975

  381. Diodati, Michele (11 April 2020). "Rotating Black Holes, the Most Powerful Energy Generators in the Universe". Amazing Science. Retrieved 28 March 2022. https://medium.com/amazing-science/rotating-black-holes-the-most-powerful-energy-generators-in-the-universe-832439add442

  382. Tamburini, Fabrizio; Thidé, Bo; Della Valle, Massimo (2020). "Measurement of the spin of the M87 black hole from its observed twisted light". Monthly Notices of the Royal Astronomical Society: Letters. 492 (1): L22 – L27. arXiv:1904.07923. Bibcode:2020MNRAS.492L..22T. doi:10.1093/mnrasl/slz176. ISSN 0035-8711. https://openaccess.inaf.it/handle/20.500.12386/31845

  383. Tucker, W.; Blanco, P.; Rappoport, S.; David, L.; Fabricant, D.; Falco, E. E.; Forman, W.; Dressler, A.; Ramella, M. (2 March 1998). "1E 0657–56: A Contender for the Hottest Known Cluster of Galaxies". The Astrophysical Journal. 496 (1): L5. arXiv:astro-ph/9801120. Bibcode:1998ApJ...496L...5T. doi:10.1086/311234. ISSN 0004-637X. S2CID 16140198. https://iopscience.iop.org/article/10.1086/311234/meta

  384. Ge, Xue; Zhao, Bi-Xuan; Bian, Wei-Hao; Frederick, Green Richard (20 March 2019). "The Blueshift of the C iv Broad Emission Line in QSOs". The Astronomical Journal. 157 (4): 148. arXiv:1903.08830. Bibcode:2019AJ....157..148G. doi:10.3847/1538-3881/ab0956. ISSN 0004-6256. https://doi.org/10.3847%2F1538-3881%2Fab0956

  385. "40.7billion*2e30*9e16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 23 September 2024. https://www.wolframalpha.com/input?i=40.7billion*2e30*9e16

  386. Markevitch, Maxim; Vikhlinin, Alexey (May 2007). "Shocks and cold fronts in galaxy clusters". Physics Reports. 443 (1): 1–53. arXiv:astro-ph/0701821. Bibcode:2007PhR...443....1M. doi:10.1016/j.physrep.2007.01.001. S2CID 119326224. /wiki/ArXiv_(identifier)

  387. Jim Brau. "The Milky Way Galaxy". Retrieved 4 November 2011. /wiki/James_E._Brau

  388. "Conversion from kg to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=41&num=4&From=kg&To=j&Action=Convert+value+and+show+factor

  389. Karachentsev, I. D.; Kashibadze, O. G. (2006). "Masses of the local group and of the M81 group estimated from distortions in the local velocity field". Astrophysics. 49 (1): 3–18. Bibcode:2006Ap.....49....3K. doi:10.1007/s10511-006-0002-6. S2CID 120973010. /wiki/Bibcode_(identifier)

  390. "Conversion from kg to J". NIST. Retrieved 4 November 2011. http://physics.nist.gov/cgi-bin/cuu/Convert?exp=42&num=1.2&From=kg&To=j&Action=Convert+value+and+show+factor

  391. "0.8e 12*1.988e 30kg*c^2 round to second digit - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024. https://www.wolframalpha.com/input?i=0.8e+12*1.988e+30kg*c%5E2+round+to+second+digit

  392. "The need for speed: escape velocity and dynamical mass measurements of the Andromeda galaxy". Monthly Notices of the Royal Astronomical Society. 10 January 2018. Retrieved 13 September 2024. ... derive the total potential of M31, estimating the virial mass and radius of the galaxy to be 0.8 ± 0.1 × 10^12 M⊙ and 240 ± 10 kpc, respectively. https://academic.oup.com/mnras/article/475/3/4043/4797184

  393. Einasto, M.; et al. (December 2007). "The richest superclusters. I. Morphology". Astronomy and Astrophysics. 476 (2): 697–711. arXiv:0706.1122. Bibcode:2007A&A...476..697E. doi:10.1051/0004-6361:20078037. S2CID 15004251. /wiki/ArXiv_(identifier)

  394. "9.9*10^-30*1000*3.566*10^80*0.046*9*10^16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=9.9*10%5E-30*1000*3.566*10%5E80*0.046*9*10%5E16

  395. Details of calculation: WMAP 10 year survey's estimate of mass-energy density * volume of Observable Universe * percentage of which is ordinary matter: [9.9e-30 g/cm^3] * [3.566e+80 m^3] * [0.046] * [c^2] = 1.46e+70 Joules.

  396. "WMAP- Content of the Universe". wmap.gsfc.nasa.gov. Retrieved 11 September 2024. https://wmap.gsfc.nasa.gov/universe/uni_matter.html

  397. "9.9*10^-30*1000*3.566*10^80*9*10^16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024. https://www.wolframalpha.com/input?i=9.9*10%5E-30*1000*3.566*10%5E80*9*10%5E16

  398. "WMAP- Content of the Universe". wmap.gsfc.nasa.gov. Retrieved 11 September 2024. https://wmap.gsfc.nasa.gov/universe/uni_matter.html