Question

Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth$=6\times {10}^{24}$kg and of the Sun$=2\times {10}^{30}kg$. The average distance between the two is $1.5\times {10}^{11}$m.

Answer 1

Given : Mass of earth $m=6\times {10}^{24}kg$

Mass of Sun $M=2\times {10}^{30}kg$

Distance between sun and earth $r=1.5\times {10}^{11}$ m

Force of gravitation between them $F=\frac{GMm}{r^2}$

$F=\frac{6.67\times {10}^{-11}\times (6\times {10}^{24})\times (2\times {10}^{30})}{(1.5\times {10}^{11}{)}^2}$

$F=\frac{(80.04\times {10}^{43})}{2.25\times {10}^{22}}=35.57\times {10}^{21}\left(\frac{10}{10}\right)=3.56\times {10}^{22}N$