Answer to Question #284894 in Mechanics | Relativity for omma

Question

A distance of 0.002 m separates two objects of equal mass. If the gravitational force between

them is 0.0104 N, find the mass of each object.

Answer 1

Explanations & Calculations

• You need to use the equation $\small F=G\Large\frac{m_1m_2}{r^2}$ and some algebra to come up with the solution.
• Also, you need to know the approximated value of the Universal gravitational constant: G to do this.

$\qquad\qquad \begin{aligned} \small 0.0104\,N&=\small (6.67\times10^{-11}m^3kg^{-1}s^{-2})\times \frac{m^2}{(0.002\,m)^2}\cdots[m_11=m_2]\\ \small m^2&=\small 623.69\,kg^2\\ \small m&=\small \bold{24.97\,kg} \end{aligned}$