Chapter 1, Problem 40P

According to Newton’s law of universal gravitation, the attraction force between two bodies is given by:

$F=G\frac{m_i{m}_i}{r^2}$

wherem₁and m₂, are the masses of the bodies, r is the distance between the bodies, and $G=6.67\times \text{1}{0}^{-\text{11}}$ N-m²/kg² is the universal gravitational constant.

Determine how many times the attraction force between the sun and the Earth is larger than the attraction force between the Earth and the moon. The distance between the sun and Earth is $\text{149}.\text{6}\times \text{1}{0}^{\text{9}}$ m, the distance between the moon and Earth is 384.4 106m, $\text{5}.\text{98}\times \text{1}0$ kg, $m_{sun},=\text{2}.0\times \text{1}{0}^{\text{3}0}$ kg, and $m_{moon}=\text{7}.\text{36}\times$ kg.