Question

A 5.00 kg mass feels a gravitational

Answer 1

Answer: Both masses are 0.285 m apart

Explanation:

According to the law of Universal Gravitation:

$F=G\frac{(m_{1})(m_{2})}{d^2}$

Where:

$F=3.07(10)^{-8} N$ is the gravitational force between the masses

$G=6.674x10^{-11}\frac{m^{3}}{kgs^{2}}$is the gravitational constant

$m_{1}=5 kg$  is the mass of the first object

$m_{2}=7.5 kg$   is the mass of the second object

$d$ is the distance between the objects

Isolating $d$:

$d=\sqrt{\frac{Gm_{1}m_{2}}{F}}$

$d=\sqrt{\frac{(6.674x10^{-11}\frac{m^{3}}{kgs^{2}})(5 kg)(7.5 kg)}{3.07(10)^{-8} N}}$

$d=0.285 m$ This is the distance between both objects