Question

Calculate the force of gravitation between the earth and the sun, given that the mass of the earth = 6×10²⁴kg and of the sun = 2×10³⁰kg. The average distance between the two is 1.5×10¹¹m.

Answer 1

Mass of earth = M = 6 × 10²⁴ Kg
Mass of sun = m = $2\times {10}^{30}$ Kg
Distance between earth and sun = r = 1.5 × 10¹¹ m
According to the universal law of gravitation, $F=\frac{GMm}{r^2}$
( where , $G=6.67\times {10}^{-11}$ )

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

$F=\frac{6.67\times 6\times 2}{2.25}\times {10}^{13}\times {10}^{30}\times {10}^{-22}$

F = 35.57 × 10²¹ N

F = 3.557 × 10²² N.