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.

Step-by-step explanation:

The gravitational force is caculated by the formula

`F=G(m_1m_2)/(r^2)`

Here, the universal gravitational constant is

`G=\text{ 6.67}*10^(-11)Nm^2kg^(-2)`

Substituting the values, the gravitational force will be

`\begin{gathered} F=(6.67*10^(-11)*25*25)/((2)^2) \\ =\text{ 1.04}*10^(-8)\text{ N} \end{gathered}`

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