**Law the Gravity:**any two bodies tempt each otherin straight proportion to their masses and also inversely to the square the thedistance in between them.

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** of gravity on the surface ar of the earth is the exact same for allobjects, and also depends on the Mass and Radius that the Earth. The acceleration walk **not ** rely on the massive of the object being accelerated:

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.