stringtranslate.com

Orders of magnitude (energy)

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

Below 1 J

1 to 105 J

106 to 1011 J

1012 to 1017 J

1018 to 1023 J

Over 1023 J

SI multiples

The joule is named after James Prescott Joule. As with every SI unit named for 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

Notes

  1. ^ "Planck's constant | physics | Britannica.com". britannica.com. Retrieved 26 December 2016.
  2. ^ Calculated: KEavg = (3/2) × Boltzmann constant × Temperature
  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.
  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.
  7. ^ Calculated: KEavg ≈ (3/2) × T × 1.38×10−23 = (3/2) × 1 × 1.38×10−23 ≈ 2.07×10−23 J
  8. ^ a b c d "Wavelength, Frequency, and Energy". Imagine the Universe. NASA. Archived from the original on 18 November 2001. Retrieved 15 November 2011.
  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. ^ a b c "Bond Lengths and Energies". Chem 125 notes. UCLA. Archived from the original on 23 August 2011. Retrieved 13 November 2011.
  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.
  14. ^ 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.
  15. ^ 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.
  16. ^ Calculated: 0.28 eV × 1.6×10−19 J/eV = 4.5×10−20 J
  17. ^ "physics.nist.gov/cuu/Constants/Table/allascii.txt". 2022. Archived from the original on 10 September 2024.
  18. ^ "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
  19. ^ 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
  20. ^ 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.)
  21. ^ 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.
  22. ^ 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
  23. ^ 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
  24. ^ Calculated: 1/2 × 27×10−12 g × (3.5 miles per hour)2 = 3×10−15 J
  25. ^ "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."
  26. ^ "Intensity and the Decibel Scale". Physics Classroom. Retrieved 19 August 2016.
  27. ^ Calculated: two eardrums ≈ 1 cm2. 1×10−6 W/m2 × 1×10−4 m2 × 1 s = 1×10−14 J
  28. ^ 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
  29. ^ Calculated: 170×103 eV × 1.6×10−19 J/eV = 2.7×10−14 J
  30. ^ "electron mass energy equivalent". NIST. Retrieved 4 November 2011.
  31. ^ "CODATA Value: electron mass energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023.
  32. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  33. ^ "How much energy is released when hydrogen is fused to produce one kilo of helium?". 11 November 2017. Retrieved 21 July 2021.
  34. ^ 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
  35. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  36. ^ a b "Energy From Uranium Fission". HyperPhysics. Retrieved 8 November 2011.
  37. ^ a b "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  38. ^ "CODATA Value: atomic mass constant energy equivalent". physics.nist.gov. Retrieved 13 August 2023.
  39. ^ "CODATA Value: atomic mass constant energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023.
  40. ^ "proton mass energy equivalent". NIST. Retrieved 4 November 2011.
  41. ^ "CODATA Value: proton mass energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023.
  42. ^ "neutron mass energy equivalent". NIST. Retrieved 4 November 2011.
  43. ^ "CODATA Value: neutron mass energy equivalent in MeV". physics.nist.gov. Retrieved 13 August 2023.
  44. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  45. ^ "deuteron mass energy equivalent". NIST. Retrieved 4 November 2011.
  46. ^ "alpha particle mass energy equivalent". NIST. Retrieved 4 November 2011.
  47. ^ Calculated: 7×10−4 g × 9.8 m/s2 × 1×10−4 m
  48. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  49. ^ 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
  50. ^ Calculated: 50×109 eV × 1.6×10−19 J/eV = 8×10−9 J
  51. ^ "W". PDG Live. Particle Data Group. Archived from the original on 17 July 2012. Retrieved 4 November 2011.
  52. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  53. ^ 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.
  54. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  55. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  56. ^ 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.
  57. ^ 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
  58. ^ Calculated: 400×109 eV × 1.6×10−19 J/eV = 6.4×10−8 J
  59. ^ a b c d e f g h i j k l "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
  60. ^ "Conversion from eV to J". NIST. Retrieved 4 November 2011.
  61. ^ "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.
  62. ^ "First successful beam at record energy of 6.5 TeV". Retrieved 28 April 2015.
  63. ^ Calculated: 6.5×1012 eV per beam × 1.6×10−19 J/eV = 1.04×10−6 J
  64. ^ "The radioactive series of radium-226" (PDF). CERN.
  65. ^ 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.
  66. ^ "NanoTritium™: Next-gen Tritium Battery with Decade-Long Betavoltaic Battery Power | CityLabs". Retrieved 4 April 2022.
  67. ^ "LED - Basic Red 5mm - COM-09590 - SparkFun Electronics". www.sparkfun.com. Retrieved 4 April 2022.
  68. ^ "Coin specifications". United States Mint. Archived from the original on 18 February 2015. Retrieved 2 November 2011. 11.340 g
  69. ^ Calculated: m×g×h = 11.34×10−3 kg × 9.8 m/s2 × 1 m = 1.1×10−1 J
  70. ^ "Apples, raw, with skin (NDB No. 09003)". USDA Nutrient Database. USDA. Archived from the original on 3 March 2015. Retrieved 8 December 2011.
  71. ^ Calculated: m×g×h = 1×10−1 kg × 9.8 m/s2 × 1 m = 1 J
  72. ^ "Specific Heat of Dry Air". Engineering Toolbox. Retrieved 2 November 2011.
  73. ^ "Footnotes". NIST Guide to the SI. NIST. 2 July 2009.
  74. ^ "Physical Motivations". ULTRA Home Page (EUSO project). Dipartimento di Fisica di Torino. Retrieved 12 November 2011.
  75. ^ Calculated: 5×1019 eV × 1.6×10−19 J/ev = 8 J
  76. ^ "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.
  77. ^ "Teardown: Digital Camera Canon PowerShot |". electroelvis.com. 2 September 2012. Archived from the original on 1 August 2013. Retrieved 6 June 2013.
  78. ^ "The Fly's Eye (1981–1993)". HiRes. Archived from the original on 15 August 2009. Retrieved 14 November 2011.
  79. ^ 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.
  80. ^ "How Much Does a Baseball Weigh? - Baseball Weight Facts". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024.
  81. ^ "How fast does an average MLB pitcher throw? - TopVelocity". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024.
  82. ^ "Ionizing Radiation". General Chemistry Topic Review: Nuclear Chemistry. Bodner Research Web. Retrieved 5 November 2011.
  83. ^ "Vertical Jump Test". Topend Sports. Retrieved 12 December 2011. 41–50 cm (males) 31–40 cm (females)
  84. ^ "Mass of an Adult". The Physics Factbook. Retrieved 13 December 2011. 70 kg
  85. ^ 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
  86. ^ "Latent Heat of Melting of some common Materials". Engineering Toolbox. Retrieved 10 June 2013. 334 kJ/kg
  87. ^ "Javelin Throw – Introduction". IAAF. Retrieved 12 December 2011.
  88. ^ 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
  89. ^ Calculated: 1/2 × 0.8 kg × (30 m/s)2 = 360 J
  90. ^ 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
  91. ^ "Shot Put – Introduction". IAAF. Retrieved 12 December 2011.
  92. ^ Calculated: 1/2 × 7.26 kg × (14.7 m/s)2 = 784 J
  93. ^ 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.
  94. ^ "Fluids – Latent Heat of Evaporation". Engineering Toolbox. Retrieved 10 June 2013. 2257 kJ/kg
  95. ^ powerlabs.org – The PowerLabs Solid State Can Crusher!, 2002
  96. ^ "Hammer Throw – Introduction". IAAF. Retrieved 12 December 2011.
  97. ^ Otto, Ralf M. "HAMMER THROW WR PHOTOSEQUENCE – YURIY SEDYKH" (PDF). Retrieved 4 November 2011. The total release velocity is 30.7 m/sec
  98. ^ Calculated: 1/2 × 7.26 kg × (30.7 m/s)2 = 3420 J
  99. ^ a b 4.2×109 J/ton of TNT-equivalent × (1 ton/1×106 grams) = 4.2×103 J/gram of TNT-equivalent
  100. ^ ".458 Winchester Magnum" (PDF). Accurate Powder. Western Powders Inc. Archived from the original (PDF) on 28 September 2007. Retrieved 7 September 2010.
  101. ^ "speed of sound - Google Search". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024.
  102. ^ "Battery energy storage in various battery sizes". AllAboutBatteries.com. Archived from the original on 4 December 2011. Retrieved 15 December 2011.
  103. ^ "Energy Density of Carbohydrates". The Physics Factbook. Retrieved 5 November 2011.
  104. ^ "Energy Density of Protein". The Physics Factbook. Retrieved 5 November 2011.
  105. ^ "Energy Density of Fats". The Physics Factbook. Retrieved 5 November 2011.
  106. ^ a b "Energy Density of Gasoline". The Physics Factbook. Retrieved 5 November 2011.
  107. ^ Calculated: E = 1/2 m×v2 = 1/2 × (1×10−3 kg) × (1×104 m/s)2 = 5×104 J.
  108. ^ a b "List of Car Weights". LoveToKnow. Retrieved 13 December 2011. 3000 to 12000 pounds
  109. ^ 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.
  110. ^ Muller, Richard A. "Kinetic Energy in a meteor". Old Physics 10 notes. Archived from the original on 2 April 2012. Retrieved 13 November 2011.
  111. ^ Calculated: KE = 1/2 × 2×103 kg × (32 m/s)2 = 1.0×106 J
  112. ^ "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.
  113. ^ a b "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.
  114. ^ Calculated: 2000 food calories = 2.0×106 cal × 4.184 J/cal = 8.4×106 J
  115. ^ "What is Earth's Escape Velocity? - Earth How". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024.
  116. ^ Calculated: 1/2 × m × v2 = 1/2 × 48.78 kg × (655 m/s)2 = 1.0×107 J.
  117. ^ Calculated: 2600 food calories = 2.6×106 cal × 4.184 J/cal = 1.1×107 J
  118. ^ Ackerman, Spencer. "Video: Navy's Mach 8 Railgun Obliterates Record". Wired. ISSN 1059-1028. Retrieved 28 July 2024.
  119. ^ "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
  120. ^ 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
  121. ^ Calculated cost per kWh: 1 kWh × 3.60×106 J/kWh / 3.65×107 J/dollar = 0.0986 dollar/kWh
  122. ^ "Energy in a Cubic Meter of Natural Gas". The Physics Factbook. Retrieved 15 December 2011.
  123. ^ "The Olympic Diet of Michael Phelps". WebMD. Retrieved 28 December 2011.
  124. ^ Cline, James E. D. "Energy to Space". Retrieved 13 November 2011. 6.27×107 Joules / Kg
  125. ^ "Tour de France Winners, Podium, Times". Bike Race Info. Retrieved 10 December 2011.
  126. ^ "Watts/kg". Flamme Rouge. Archived from the original on 2 January 2012. Retrieved 4 November 2011.
  127. ^ Calculated: 90 hr × 3600 seconds/hr × 5 W/kg × 65 kg = 1.1×108 J
  128. ^ 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
  129. ^ "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
  130. ^ "ITP Metal Casting: Melting Efficiency Improvement" (PDF). ITP Metal Casting. U.S. Department of Energy. Retrieved 14 November 2011. 377 kWh/mt
  131. ^ Calculated: 380 kW-h × 3.6×106 J/kW-h = 1.37×109 J
  132. ^ Bell Fuels. "Lead-Free Gasoline Material Safety Data Sheet". NOAA. Archived from the original on 20 August 2002. Retrieved 6 July 2008.
  133. ^ thepartsbin.com – Volvo Fuel Tank: Compare at The Parts Bin[permanent dead link], 6 May 2012
  134. ^
  135. ^ a b "1/2*(440mph)^2*283,600lb - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.
  136. ^ a b "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.
  137. ^ p. 20 (70 of 302) Section: 2.2 THE AIRCRAFT
  138. ^ "Power of a Human Heart". The Physics Factbook. Retrieved 10 December 2011. The mechanical power of the human heart is ~1.3 watts
  139. ^ Calculated: 1.3 J/s × 80 years × 3.16×107 s/year = 3.3×109 J
  140. ^ "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
  141. ^ Calculated: 1239 kWh × 3.6×106 J/kWh = 4.5×109 J
  142. ^ a b Energy Units Archived 10 October 2016 at the Wayback Machine, by Arthur Smith, 21 January 2005
  143. ^ "Top 10 Biggest Explosions". Listverse. 28 November 2011. Retrieved 10 December 2011. a yield of 11 tons of TNT
  144. ^ Calculated: 11 tons of TNT-equivalent × 4.184×109 J/ton of TNT-equivalent = 4.6×1010 J
  145. ^ "Emission Facts: Average Annual Emissions and Fuel Consumption for Passenger Cars and Light Trucks". EPA. Retrieved 12 December 2011. 581 gallons of gasoline
  146. ^ "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
  147. ^ Calculated: 581 gallons × 125×106 J/gal = 7.26×1010 J
  148. ^ Calculated: 1×106 watts × 86400 seconds/day = 8.6×1010 J
  149. ^ 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
  150. ^ "10 striking facts about lightning - Met Office". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024.
  151. ^ Calculated: 2000 kcal/day × 365 days/year × 80 years = 2.4×1011 J
  152. ^ "A330-300 Dimensions & key data". Airbus. Archived from the original on 16 January 2013. Retrieved 12 December 2011. 97530 litres
  153. ^ a b c "Air BP Handbook of Products" (PDF). BP. Archived from the original (PDF) on 8 June 2011. Retrieved 19 August 2011.
  154. ^ Calculated: 97530 liters × 0.804 kg/L × 43.15 MJ/kg = 3.38×1012 J
  155. ^ Calculated: 1×109 watts × 3600 seconds/hour
  156. ^ 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%
  157. ^ "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
  158. ^ 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
  159. ^ Calculated: 4.2×109 J/ton of TNT-equivalent × 1×103 tons/megaton = 4.2×1012 J/megaton of TNT-equivalent
  160. ^ "747 Classics Technical Specs". Boeing. Archived from the original on 10 December 2007. Retrieved 12 December 2011. 183,380 L
  161. ^ Calculated: 183380 liters × 0.804 kg/L × 43.15 MJ/kg = 6.36×1012 J
  162. ^ "A380-800 Dimensions & key data". Airbus. Archived from the original on 8 July 2012. Retrieved 12 December 2011. 320,000 L
  163. ^ Calculated: 320,000 L × 0.804 kg/L × 43.15  MJ/kg = 11.1×1012 J
  164. ^ "International Space Station: The ISS to Date". NASA. Archived from the original on 11 June 2015. Retrieved 23 August 2011.
  165. ^ "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
  166. ^ Calculated: E = 1/2 m.v2 = 1/2 × 417000 kg × (7700m/s)2 = 1.2×1013 J
  167. ^ "What was the yield of the Hiroshima bomb?". Warbird's Forum. Retrieved 4 November 2011. 21 kt
  168. ^ Calculated: 15 kt = 15×109 grams of TNT-equivalent × 4.2×103 J/gram TNT-equivalent = 6.3×1013 J
  169. ^ "Conversion from kg to J". NIST. Retrieved 4 November 2011.
  170. ^ "JPL – Fireballs and bolides". Jet Propulsion Laboratory. NASA. Retrieved 13 April 2017.
  171. ^ a b "How much energy does a hurricane release?". FAQ : HURRICANES, TYPHOONS, AND TROPICAL CYCLONES. NOAA. Retrieved 12 November 2011.
  172. ^ "The Gathering Storms". COSMOS. Archived from the original on 4 April 2012. Retrieved 10 December 2011.
  173. ^ a b c d e "Country Comparison :: Electricity – consumption". The World Factbook. CIA. Archived from the original on 28 January 2012. Retrieved 11 December 2011.
  174. ^ Calculated: 288.6×106 kWh × 3.60×106 J/kWh = 1.04×1015 J
  175. ^ Calculated: 4.2×109 J/ton of TNT-equivalent × 1×106 tons/megaton = 4.2×1015 J/megaton of TNT-equivalent
  176. ^ Calculated: 3.02×109 kWh × 3.60×106 J/kWh = 1.09×1016 J
  177. ^ "Castle Bravo: The Largest U.S. Nuclear Explosion | Brookings". 4 January 2024. Archived from the original on 4 January 2024. Retrieved 4 January 2024.
  178. ^ "0.145kg*c^2*(1/sqrt(1-0.99^2)-1) - Wolfram|Alpha". www.wolframalpha.com. Retrieved 4 January 2024.
  179. ^ Calculated: E = mc2 = 1 kg × (2.998×108 m/s)2 = 8.99×1016 J
  180. ^ 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.
  181. ^ a b c 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.
  182. ^ "The Soviet Weapons Program – The Tsar Bomba". The Nuclear Weapon Archive. Retrieved 4 November 2011.
  183. ^ Calculated: 50×106 tons TNT-equivalent × 4.2×109 J/ton TNT-equivalent = 2.1×1017 J
  184. ^ 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.
  185. ^ Calculated to be 61 megatons of TNT, equivalent to 2.552×1017 J
  186. ^ Calculated: 115.6×109 kWh × 3.60×106 J/kWh = 4.16×1017 J
  187. ^ "1000*1/2*(0.1*299792458)^2*1/sqrt(1-0.1^2) joules - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.
  188. ^ 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.
  189. ^ Calculated: 200×106 tons of TNT equivalent × 4.2×109 J/ton of TNT equivalent = 8.4×1017 J
  190. ^ 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]
  191. ^ Calculated: 402×109 kWh × 3.60×106 J/kWh = 1.45×1017 J
  192. ^ a b c d 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.
  193. ^ 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.
  194. ^ Calculated: 3.741×1012 kWh × 3.600×106 J/kWh = 1.347×1019 J
  195. ^ "United States". The World Factbook. USA. Retrieved 11 December 2011.
  196. ^ Calculated: 3.953×1012 kWh × 3.600×106 J/kWh = 1.423×1019 J
  197. ^ a b "World". The World Factbook. CIA. Retrieved 11 December 2011.
  198. ^ Calculated: 17.8×1012 kWh × 3.60×106 J/kWh = 6.41×1019 J
  199. ^ Calculated: 18.95×1012 kWh × 3.60×106 J/kWh = 6.82×1019 J
  200. ^ Klemetti, Erik (10 April 2015). "Tambora 1815: Just How Big Was The Eruption?". Wired. ISSN 1059-1028. Retrieved 25 May 2024.
  201. ^ "1/6(1km^3)(3.5 g/cm^3)(20km/s)^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.
  202. ^ "How often do asteroids strike Earth?". Catalina Sky Survey. Retrieved 11 September 2024.
  203. ^ "Severe Weather: Hurricane energetics". www.atmo.arizona.edu. Retrieved 24 May 2024.
  204. ^ a b c d e "Statistical Review of World Energy 2011" (PDF). BP. Archived from the original (PDF) on 2 September 2011. Retrieved 9 December 2011.
  205. ^ Calculated: 12002.4×106 tonnes of oil equivalent × 42×109 J/tonne of oil equivalent = 5.0×1020 J
  206. ^ Institute, Energy. "Home". Statistical review of world energy. Retrieved 11 September 2024.
  207. ^ "2023 saw a second consecutive record year for global primary energy consumption as it grew by 2%, reaching 620 EJ."
  208. ^ a b c "Global Uranium Resources to Meet Projected Demand | International Atomic Energy Agency". iaea.org. June 2006. Retrieved 26 December 2016.
  209. ^ "U.S. Energy Information Administration, International Energy Generation".
  210. ^ "U.S. EIA International Energy Outlook 2007". eia.doe.gov. Retrieved 26 December 2016.
  211. ^ 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.
  212. ^ 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
  213. ^ Calculated: "188.8 thousand million tonnes" => 188.8×109 tonnes of oil × 42×109 J/tonne of oil = 7.9×1021 J
  214. ^ 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
  215. ^ 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.
  216. ^ Calculated: 1.27×1014 m2 × 1370 W/m2 × 86400 s/day = 1.5×1022 J
  217. ^ 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.
  218. ^ 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
  219. ^ Calculated: natural gas + petroleum + coal = 6.9×1021 J + 7.9×1021 J + 2.4×1022 J = 3.9×1022 J
  220. ^ 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.
  221. ^ 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.
  222. ^ 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.
  223. ^ 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.
  224. ^ Calculated: 1.27×1014 m2 × 1370 W/m2 × 86400 s/day = 5.5×1024 J
  225. ^ 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.
  226. ^ 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.
  227. ^ 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.
  228. ^ a b c "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.
  229. ^ Lii, Jiangning. "Seismic effects of the Caloris basin impact, Mercury" (PDF). MIT.
  230. ^ 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.
  231. ^ "0.145kg*c^2*(1/sqrt(1-0.9999999999999999999999951^2)-1) - Wolfram|Alpha". www.wolframalpha.com. Retrieved 4 January 2024.
  232. ^ "Moon Fact Sheet". NASA. Retrieved 16 December 2011.
  233. ^ 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.
  234. ^ 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.
  235. ^ Cowing, Keith (28 April 2023). "Superflare With Massive, High-velocity Prominence Eruption". SpaceRef. Retrieved 26 May 2024.
  236. ^ "Moment of Inertia—Earth". Eric Weisstein's World of Physics. Retrieved 5 November 2011.
  237. ^ 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
  238. ^ 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
  239. ^ "gravitational binding energy calculator - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.
  240. ^ Dhar, Michael (6 November 2022). "What was Earth's biggest explosion?". livescience.com. Retrieved 27 May 2024.
  241. ^ Firestone, Richard B. (29 May 2023). "The origin of the terrestrial planets". arXiv:2305.18635 [astro-ph.EP].
  242. ^ Calculated: 3.8×1026 J/s × 86400 s/day = 3.3×1031 J
  243. ^ Typinski, Dave (January 2009). "Earth's Gravitational Binding Energy" (PDF). Archived from the original (PDF) on 4 January 2024. Retrieved 4 January 2024.
  244. ^ "Earth Fact Sheet". 26 December 2023. Archived from the original on 26 December 2023. Retrieved 4 January 2024.
  245. ^ KE = 1/2 × 5.9722×10^24 kg × (30.29 km/s)^2 = 2.74×10^33 J
  246. ^ Calculated: 3.8×1026 J/s × 86400 s/day × 365.25 days/year = 1.2×1034 J
  247. ^ 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].
  248. ^ "9.9e-30g/cm3*1ly3*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024.
  249. ^ a b c d "WMAP- Content of the Universe". wmap.gsfc.nasa.gov. Retrieved 11 September 2024.
  250. ^ "NASA - Cosmic Explosion Among the Brightest in Recorded History". www.nasa.gov. Retrieved 27 March 2022.
  251. ^ 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.
  252. ^ 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.
  253. ^ "7.346e 22kg*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024.
  254. ^ "Moon Fact Sheet". nssdc.gsfc.nasa.gov. Retrieved 13 September 2024.
  255. ^ "9.9e-30g/cm3*1pc3*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024.
  256. ^
    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
  257. ^ "Earth Fact Sheet". nssdc.gsfc.nasa.gov. Retrieved 13 September 2024.
  258. ^ "5.9722e 24kg*c^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024.
  259. ^ 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"
  260. ^ Calculated: 5×1050 erg × 1×10−7 J/erg = 5×1043 J
  261. ^ 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.
  262. ^ 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.
  263. ^ 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.
  264. ^ a b 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.
  265. ^ 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.
  266. ^ "Astronomy with an online telescope". Open Learning. Retrieved 11 September 2024.
  267. ^ "1.37e27 kg * 9e16 m^2/s^2 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.
  268. ^ 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.
  269. ^ 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.
  270. ^ 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.
  271. ^ 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.
  272. ^ 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.
  273. ^ 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
  274. ^ 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.
  275. ^ 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.
  276. ^ 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.
  277. ^ 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.
  278. ^ Frail, Dale A. "GRB ENERGETICS. Then and Now" (PDF). tsvi.phys.huji.ac.il. Archived from the original (PDF) on 1 August 2014.
  279. ^ Frail, Dale A. "Multi-wavelength afterglow observations" (PPT). fermi.gsfc.nasa.gov. Archived from the original (PPT) on 24 October 2023.
  280. ^ 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.
  281. ^ 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.
  282. ^ 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.
  283. ^ 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.
  284. ^ 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.
  285. ^ 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.
  286. ^ 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.
  287. ^ 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.
  288. ^ 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.
  289. ^ 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.
  290. ^ "Sun Fact Sheet". NASA. Retrieved 15 October 2011.
  291. ^ "Conversion from kg to J". NIST. Retrieved 4 November 2011.
  292. ^ 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.
  293. ^ If GW190521 is a boson star merging, the present one remains the largest. See note [246][247]
  294. ^ a b 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
  295. ^ Tajima, Hiroyasu (2009). "Fermi Observations of high-energy gamma-ray emissions from GRB 080916C". arXiv:0907.0714 [astro-ph.HE].
  296. ^ 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.
  297. ^ 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.
  298. ^ 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
  299. ^ 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.
  300. ^ 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.
  301. ^ 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
  302. ^ 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.
  303. ^ 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.
  304. ^ 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.
  305. ^ 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.
  306. ^ 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.
  307. ^ 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.
  308. ^ Garner, Rob (18 March 2020). "Quasar Tsunamis Rip Across Galaxies". NASA. Retrieved 28 March 2022.
  309. ^ 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
  310. ^ 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.
  311. ^ "4.297e 6*1.9788e 30*9e16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024.
  312. ^ 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. doi:10.1051/0004-6361/202347416. ISSN 0004-6361.
  313. ^ 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.
  314. ^ 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.
  315. ^ 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.
  316. ^ Siegel, Ethan. "Merging Supermassive Black Holes Will Become The Most Energetic Events Of All". Forbes. Retrieved 21 March 2022.
  317. ^ 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.
  318. ^ Diodati, Michele (11 April 2020). "Rotating Black Holes, the Most Powerful Energy Generators in the Universe". Amazing Science. Retrieved 28 March 2022.
  319. ^ 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.
  320. ^ 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.
  321. ^ 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.
  322. ^ Jim Brau. "The Milky Way Galaxy". Retrieved 4 November 2011.
  323. ^ "Conversion from kg to J". NIST. Retrieved 4 November 2011.
  324. ^ 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.
  325. ^ "Conversion from kg to J". NIST. Retrieved 4 November 2011.
  326. ^ "0.8e 12*1.988e 30kg*c^2 round to second digit - Wolfram|Alpha". www.wolframalpha.com. Retrieved 13 September 2024.
  327. ^ "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.{{cite web}}: CS1 maint: url-status (link)
  328. ^ 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.
  329. ^ "9.9*10^-30*1000*3.566*10^80*0.046*9*10^16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.
  330. ^ 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.
  331. ^ "9.9*10^-30*1000*3.566*10^80*9*10^16 - Wolfram|Alpha". www.wolframalpha.com. Retrieved 11 September 2024.