Orders of magnitude (force)

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Force examples.svg

The following list shows different orders of magnitude of force.

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) Value Item
10−47
3.6×10−47 N Gravitational attraction of the proton and the electron in hydrogen atom[1]
10−30
8.9×10−30 N Weight of an electron[1]
10−26
1.6×10−26 N Weight of a hydrogen atom[1]
10−24
yoctonewton (yN)
5 yN Force necessary to synchronize the motion of a single trapped ion with an external signal measured in a 2010 experiment[2][3]
10−22 170 yN Force measured in a 2010 experiment by perturbing 60 beryllium-9 ions[4][5]
10−15
femtonewton (fN)
 
10−14 ~10 fN Brownian motion force on an E. coli bacterium averaged over 1 second[6]
~10 fN Weight of an E. coli bacterium[7][8]
10−13 ~100 fN Force to stretch double-stranded DNA to 50% relative extension[6]
10−12
piconewton (pN)
~4 pN Force to break a hydrogen bond[6]
~5 pN Maximum force of a molecular motor[6]
10−11  
10−10 ~160 pN Force to break a typical noncovalent bond[6]
10−9
nanonewton (nN)
~1.6 nN Force to break a typical covalent bond[6]
10−8
8.2×10−8 N Force on an electron in a hydrogen atom[1]
10−7
2×10−7 N Force between two 1 meter long conductors, 1 meter apart by the definition of one ampere
10−6
micronewton (μN)
1–150 μN Output of FEEP ion thrusters used in NASA's Laser Interferometer Space Antenna [9]
10−4  
10−3
millinewton (mN)
   
10−2 19-92 mN Thrust of the NSTAR ion engine tested on NASA's space probe Deep Space 1[10]
10−1    

1 N and above

Magnitude Value Item
newton (N) 1 N The weight of an average apple[11][12]
10 N 9.8 N One kilogram-force, nominal weight of a 1 kg object at sea level on Earth[13]
102 N 720 N Average force of human bite, measured at molars[14]
103 N
kilonewton (kN)
8 kN The maximum force achieved by weight lifters during a 'clean and jerk' lift[15]
9 kN The bite force of one adult American alligator[16]
104 N 16.5 kN The bite force of a 5.2m Saltwater Crocodile[17]
18 kN The estimated bite force of a 6.1m adult great white shark[18]
25.5 to 34.5 kN The estimated bite force of a large 6.7m adult Saltwater Crocodile[19]
45 kN The force applied by the engine of a small car during peak acceleration[citation needed]
105 N 100 kN The average force applied by seatbelt and airbag to a restrained passenger in a car which hits a stationary barrier at 100 km/h[20]
890 kN Maximum pulling force (tractive effort) of a single large diesel-electric locomotive[1]
106 N
meganewton (MN)
1.8 MN Thrust of Space Shuttle Main Engine at lift-off[21][22][23]
1.9 MN Weight of the largest Blue Whale[1]
107 N 35 MN Thrust of Saturn V rocket at lift-off[24]
108 N 570 MN Simplistic estimate of force of sunlight on Earth[25]
109 N
giganewton (GN)
1020 N 2.0×1020 N Gravitational attraction between Earth and Moon[26]
1022 N 3.5×1022 N Gravitational attraction between Earth and Sun[27]
1044 N 1.2×1044 N The Planck force[28][29][30][31]

Notes

  1. 1.0 1.1 1.2 1.3 1.4 1.5 Hugh D. Young, University Physics 4th Ed, 1992, Addison-Wesley Publishing Co, Inc.
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  6. 6.0 6.1 6.2 6.3 6.4 6.5 Lua error in package.lua at line 80: module 'strict' not found.
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  8. Calculated: weight = mass * g = 1e-15 kg * 9.81 m/s^2 = 1e-14 N
  9. http://www.lisa-science.org/list/list_meetings/potsdam_2006/lpf-presentation.pdf
  10. Lua error in package.lua at line 80: module 'strict' not found.
  11. http://www.teachersource.com/Workshops/SuperWowNeatScienceforEveryonewithRonPerkins/NewtonsApple.aspx
  12. Lafferty, Peter & Julian Rowe. The Dictionary of Science. New York: Helicon, 1993: 404.
  13. Lua error in package.lua at line 80: module 'strict' not found.
  14. Houston T E, Bite Force and Bite Pressure: Comparisons of Humans and Dogs, 2003 [1]
  15. The Human Machine By R. McNeill Alexander, Mark Iley, Sally Alexander
  16. Lua error in package.lua at line 80: module 'strict' not found. 9452 N
  17. Lua error in package.lua at line 80: module 'strict' not found.
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  19. Lua error in package.lua at line 80: module 'strict' not found.
  20. Lawrence Weinstein and John A. Adams, Guesstimation, 2008, Section 6.3.1
  21. Lua error in package.lua at line 80: module 'strict' not found.
  22. Lua error in package.lua at line 80: module 'strict' not found.
  23. Calculated: 418000 lbf * 4.45 N/lbf * (104% launch power level / 109%) = 1.77e6 N.
  24. Lua error in package.lua at line 80: module 'strict' not found.
  25. 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
  26. http://www.ridgecrest.ca.us/~do_while/sage/v5i5d.htm
  27. http://imagine.gsfc.nasa.gov/docs/ask_astro/answers/961029b.html
  28. Calculated: Planck length * Planck mass / (Planck time)^2 = 1.616e-35 m * 2.177e-8 kg / (5.391e-44)^2 = 1.21e44 N.
  29. CODATA — Planck length
  30. CODATA — Planck mass
  31. CODATA — Planck time

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