Question

Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are $1740$km and $7.4\times {10}^{22}$kg respectively. Compare this value with free fall acceleration of a body on the surface of the earth.

Answer 1

$g_{moon}=\frac{G{m}_{moon}}{{R_{moon}}^2}=\frac{6.67\times {10}^{-11}\times 7.4\times {10}^{22}}{{(1.74\times {10}^6)}^2}=16.302\times {10}^{-1}=1.63m/s^4{g}_{moon}=\frac{g_{earth}}{6}$