You are watching: 7.35x10^22 kg to g
Formula: F = GMm/r2
where G = 6.67 x 10-11N m2 / kg2, M is the mass of one object (the larger/moremassive one), m is the fixed of the second object (thesmaller/less substantial one), r is the radial distance in between the centersof M and also m
Clearly, one have the right to plug in worths for G, because that M and also m (inunits that kg) and r (in units of m) and also derive a numerical value for theforce F. However much the the time, that is much more useful to do comparisons. For example,
Compare the pressure of gravity at the surface of theMoon to the at the surface ar of the Earth:
FEarth / Fmoon =FEarth / Fmoon =
FEarth / Fmoon =
FEarth / Fmoon = <5.98 x 1024 kg/7.35 x 1022 kg><1738 km/6378 km>2
FEarth / Fmoon = <81.4><1/3.67>2
FEarth / Fmoon = 6.04
maEarth / mamoon = 6.04
aEarth / amoon = 6.04
hence, girlfriend "weigh" 6 times more on earth than top top the moon(or 6 times less on the moon 보다 on Earth)
The acceleration
FEarth = GMEarthm/(rEarth)2
FEarth = maEarth
maEarth = GMEarthm/(rEarth)2
aEarth = GMEarth/(rEarth)2
aEarth = (6.67 x 10-11Nm2/kg2)(5.97 x 1024kg) / (6.378 x 106m)2
aEarth = 9.79 N / kg = 9.79 m /s2
What is the force of gravity between a 100 kg object (me) and also the Earth?Fgravity = GMEarthmme/(rEarth)2
Fgravity = (6.67 x 10-11Nm2/kg2)(5.97 x 1024kg)(100 kg) / (6.378 x 106m)2
Fgravity = (9.79 N /kg)(100 kg) = 979 N
Note that 1 pound = 4.448 N soFgravity = 979 N (1 lb / 4.448 N) = 220 lb
So my weight, in pounds, is the pressure of gravity on me.
If ns were top top the Moon, what would my load be?aEarth / amoon = 6.04
Fmoon = mamoon
Fmoon = (100 kg)(aEarth/6.04)
Fmoon = (100 kg)((9.79 N/kg)/6.04)
Fmoon = 162 N = 36.4 lb
So ns really perform "weigh" one-sixth as much on the moon as on the Earth, however there continues to be the very same amount of me (100 kg).See more: What Is Another Name For A Capital Expenditure Is, Synonyms For Capital Expenditure
Remember: mass is the quantity of stuff the end of which ns am made while weight is the local pressure of gravity speeding up a provided mass.