Orders of magnitude (force)

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Examples of force. Force examples.svg
Examples of force.

The following list shows different orders of magnitude of force.

Contents

Since weight under gravity is a force, several of these examples refer to the weight of various objects. Unless otherwise stated, these are weights under average Earth gravity at sea level.

Below 1 N

Factor (N)ValueItem
10−47
3.6×1017qNGravitational attraction of the proton and the electron in hydrogen atom [1]
10−30
quectonewton  (qN)
8.9qNWeight of an electron [1]
10−26
16rNWeight of a hydrogen atom [1]
10−24
yoctonewton  (yN)
5yNForce necessary to synchronize the motion of a single trapped ion with an external signal measured in a 2010 experiment [2] [3]
10−22170 yNForce measured in a 2010 experiment by perturbing 60 beryllium-9 ions [4] [5]
10−18
attonewton  (aN)
10−1730 aNSmallest force of gravity measured [6] [7]
10−15
femtonewton  (fN)
 
10−14~10 fN Brownian motion force on an E. coli bacterium averaged over 1 second [8]
~10 fNWeight of an E. coli bacterium [9] [10]
10−13~100 fNForce to stretch double-stranded DNA to 50% relative extension [8]
10−12
piconewton  (pN)
~4 pNForce to break a hydrogen bond [8]
~5 pNMaximum force of a molecular motor [8]
10−11 
10−10~160 pNForce to break a typical noncovalent bond [8]
10−9
nanonewton  (nN)
~1.6 nNForce to break a typical covalent bond [8]
10−8
~82nNForce on an electron in a hydrogen atom [1]
10−7
~200nNForce between two 1 meter long conductors, 1 meter apart by an outdated definition of one ampere
10−6
micronewton  (μN)
1–150 μNOutput of FEEP ion thrusters used in NASA's Laser Interferometer Space Antenna [11]
10−4 
10−3
millinewton  (mN)
  
10−219-92mNThrust of the NSTAR ion engine tested on NASA's space probe Deep Space 1 [12]
10−1  

1 N and above

MagnitudeValueItem
1N1.4NThe weight of a smartphone [13] [14]
2.5NTypical thrust of a Dual-Stage 4-Grid ion thruster.
9.8NOne kilogram-force, nominal weight of a 1 kg (2.2 lb) object at sea level on Earth [15]
10 N50 NAverage force to break the shell of a chicken egg from a young hen [16]
102 N720NAverage force of human bite, measured at molars [17]
103 N
kilonewton  (kN)
5kNThe force applied by the engine of a small car during peak acceleration[ citation needed ]
8kNThe maximum force achieved by weight lifters during a 'clean and jerk' lift [18] (During the clean part)
9kNThe bite force of one adult American alligator [19]
104 N16.5kNThe bite force of a 5.2 m (17 ft) saltwater crocodile [20]
18kNThe estimated bite force of a 6.1 m (20 ft) adult great white shark [21]
25kNApproximate force applied by the motors of a Tesla Model S during maximal acceleration [22]
25.5 to 34.5kNThe estimated bite force of a large 6.7 m (22 ft) adult saltwater crocodile [23]
105 N100kNThe average force applied by seatbelt and airbag to a restrained passenger in a car which hits a stationary barrier at 100 km/h [24]
569kNMaximum thrust of a large turbofan engine (General Electric GE90)
890kNMaximum pulling force (tractive effort) of a single large diesel-electric locomotive [1]
106 N
meganewton  (MN)
1.8MNThrust of Space Shuttle Main Engine at lift-off [25] [26] [27]
1.9MNWeight of the largest Blue Whale [1]
107 N35MNThrust of Saturn V rocket at lift-off [28]
108 N570MNSimplistic estimate of force of sunlight on Earth [29]
109 N
giganewton  (GN)
1020 N200ENGravitational attraction between Earth and Moon [30]
1022 N35ZNGravitational attraction between Earth and Sun [31]
1029 N≈450RNGravitational attraction between our Galaxy and Andromeda Galaxy [32]
1044 N1.2×1014 QN Planck force

Notes

  1. 1 2 3 4 5 6 Hugh D. Young, University Physics 4th Ed, 1992, Addison-Wesley Publishing Co, Inc.
  2. Knünz, S.; Herrmann, M.; Batteiger, V.; Saathoff, G.; Hänsch, T.; Vahala, K.; Udem, T. (2010). "Injection Locking of a Trapped-Ion Phonon Laser" (PDF). Physical Review Letters. 105 (1): 013004. Bibcode:2010PhRvL.105a3004K. doi:10.1103/PhysRevLett.105.013004. PMID   20867440.
  3. "Single atoms for detecting extremely weak forces". Max Planck Institute of Quantum Optics. Archived from the original on 2010-08-26. Retrieved 2010-09-02.
  4. Brumfiel, G. (2010). "Scientists measure atomic nudge". Nature. doi:10.1038/news.2010.187.
  5. M. J. Biercuk; H. Uys; J. W. Britton; A. P. VanDevender; J. J. Bollinger (9 Apr 2010). "Ultrasensitive detection of force and displacement using trapped ions". Nature Nanotechnology. 5 (9): 646–650. arXiv: 1004.0780 . Bibcode:2010NatNa...5..646B. doi:10.1038/NNANO.2010.165. PMID   20729835. S2CID   119244588. detection of forces as small as 174 yN
  6. Fuchs, Tim M.; Uitenbroek, Dennis G.; Plugge, Jaimy; van Halteren, Noud; van Soest, Jean-Paul; Vinante, Andrea; Ulbricht, Hendrik; Oosterkamp, Tjerk H. (2024-02-23). "Measuring gravity with milligram levitated masses". Science Advances. 10 (8). doi:10.1126/sciadv.adk2949. ISSN   2375-2548. PMC   10889343 . PMID   38394194.
  7. "Scientists measure gravity in Attonewton — up to one billionth of a billionth of a Newton". WION. 2024-02-25. Archived from the original on 2024-09-06. Retrieved 2024-09-06.
  8. 1 2 3 4 5 6 "Forces involved at the biological level". PicoTwist. Retrieved 30 December 2011.
  9. "E. coli Statistics". The CyberCell Database. Archived from the original on 2011-10-27. Retrieved 2011-09-11.
  10. Calculated: weight = mass * g = 1e-15 kg * 9.81 m/s^2 = 1e-14 N
  11. "Archived copy" (PDF). Archived from the original (PDF) on 2012-02-12. Retrieved 2009-01-09.{{cite web}}: CS1 maint: archived copy as title (link)
  12. "NSTAR Ion Thruster". NASA. Archived from the original on 11 January 2003. Retrieved 9 January 2012. thrust from 19 mN to 92 mN
  13. "How Much Does Your Smartphone Really Weigh?". 15 December 2016.
  14. https://pubs.usgs.gov/fs/2006/3097/fs2006-3097.pdf [ bare URL PDF ]
  15. "Appendix B8—Factors for Units Listed Alphabetically". NIST Guide for the Use of the International System of Units (SI). NIST. 2 July 2009. Retrieved 9 January 2012.
  16. Damme, Klaus (2020). Geflügeljahrbuch 2021. Stuttgart, Germany: Eugen Ulmer KG. pp. 262–281. ISBN   978-3-8186-1186-6.
  17. Houston T E, Bite Force and Bite Pressure: Comparisons of Humans and Dogs, 2003 "Archived copy" (PDF). Archived from the original (PDF) on 2011-01-24. Retrieved 2016-02-10.{{cite web}}: CS1 maint: archived copy as title (link)
  18. The Human Machine By R. McNeill Alexander, Mark Iley, Sally Alexander
  19. Erickson, G. M.; Lappin, A. K.; Vliet, K. A. (2003). "The ontogeny of bite-force performance in American alligator (Alligator mississippiensis)" (PDF). Journal of Zoology. 260 (3): 317. doi:10.1017/S0952836903003819. Archived from the original (PDF) on 2011-06-07. 9452 N
  20. "Crocodiles Have Strongest Bite Ever Measured, Hands-on Tests Show" . Retrieved 15 March 2012. The "winners"—saltwater crocodiles—slammed their jaws shut with 3,700 pounds per square inch (psi), or 16,460 newtons, of bite force.
  21. "Great White Tops List of Hardest-Biting Sharks". Discovery News. Discovery Channel. Retrieved 21 January 2012. a bite force of 9,320 Newton at the tip of its jaws and 18,216 N at the back of its jaws
  22. Calculated from maximum acceleration of 1.22 g and kerb mass of 2,050 kg (4,520 lb).
  23. Erickson, Gregory M.; Gignac, Paul M.; Steppan, Scott J.; Lappin, A. Kristopher; Vliet, Kent A.; Brueggen, John D.; Inouye, Brian D.; Kledzik, David; Webb, Grahame J. W. (2012). "Insights into the Ecology and Evolutionary Success of Crocodilians Revealed through Bite-Force and Tooth-Pressure Experimentation". PLOS ONE. 7 (3): e31781. Bibcode:2012PLoSO...731781E. doi: 10.1371/journal.pone.0031781 . PMC   3303775 . PMID   22431965. scientifically documented 6.7-meter long Crocodylus porosus individuals were likely capable of molariform bite forces of approximately 27,531 N to 34,424 N (6,187 to 7,736 lbs).
  24. Lawrence Weinstein and John A. Adams, Guesstimation, 2008, Section 6.3.1
  25. "Space Shuttle Main Engine". Pratt & Whitney Rocketdyne. Archived from the original on 14 November 2012. Retrieved 20 April 2013. 109% power level at sea level: 418,000 lb
  26. Wade, Mark. "SSME". Encyclopedia Astronautica. Archived from the original on June 26, 2002. Retrieved 27 October 2011. Launches normally used 104% ... as a maximum
  27. Calculated: 418000 lbf * 4.45 N/lbf * (104% launch power level / 109%) = 1.77e6 N.
  28. "What Was the Saturn V?". NASA. Archived from the original on 10 November 2010. Retrieved 21 January 2012. The rocket generated 34.5 million newtons ... of thrust at launch
  29. 1.63 x 10−14 x gravitational attraction between Earth and Sun, assuming total absorption of sunlight Sunlight Exerts Pressure, NASA Glenn LTP Math & Science Resources
  30. "The Earth-Moon Equations". Archived from the original on 2012-02-17. Retrieved 2009-01-09.
  31. NASA.gov
  32. Calculated from known masses (both ×1012 kg) at a distance of 2.5 Mly.

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