Answer to Question #285102 in Physics for Jey Jeremy

Question

A distance of 0.002 meter separates two objects of equal mass. If the gravitational force between them is 0.0104N, find the mass of each object.

Answer 1

$$F=\dfrac{Gm^2}{d^2},$$ $$m_1=m_2=\sqrt{\dfrac{Fd^2}{G}},$$ $$m_1=m_2=\sqrt{\dfrac{0.0104\ N\times(0.002\ m)^2}{6.67\times10^{-11}\ \dfrac{N\times m^2}{kg^2}}}=25\ kg.$$