Given:
The mass of each sphere is
[tex]m_1=m_2\text{= 25 }kg[/tex]
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
[tex]F=G\frac{m_1m_2}{r^2}[/tex]
Here, the universal gravitational constant is
[tex]G=\text{ 6.67}\times10^{-11}Nm^2kg^{-2}[/tex]
Substituting the values, the gravitational force will be
[tex]\begin{gathered} F=\frac{6.67\times10^{-11}\times25\times25}{(2)^2} \\ =\text{ 1.04}\times10^{-8}\text{ N} \end{gathered}[/tex]
Final Answer: The gravitational force that one sphere exerts on the other is 1.04 x10^-8 N.
