Question

There is a distance of 2m between the centers of two identical spheres, each with a mass of 25 kg. What is the magnitude and the gravitational force that one sphere exerts on the other?

Answer 1

Given:

The mass of each sphere is

$m_1=m_2\text{= 25 }kg$

The distance between the two spheres is r = 2 m

To find the gravitational force that one sphere exerts on the other.

Explanation:

The gravitational force is caculated by the formula

$F=G\frac{m_1m_2}{r^2}$

Here, the universal gravitational constant is

$G=\text{ 6.67}\times10^{-11}Nm^2kg^{-2}$

Substituting the values, the gravitational force will be

$\begin{gathered} F=\frac{6.67\times10^{-11}\times25\times25}{(2)^2} \\ =\text{ 1.04}\times10^{-8}\text{ N} \end{gathered}$

Final Answer: The gravitational force that one sphere exerts on the other is 1.04 x10^-8 N.