Gravitational Force - When mass of body changes but distance is same

How does mass affect gravitational force? Suppose there are two bodies “A” and “B”. Both of them, “A” & “B” are at the distance of “D” from their centre. Now, the force of attraction between them is “F”. In this case, the gravitational force between these two bodies is given by,

When Mass is same

Gravitational Force = Gravitational Constant * (Mass of “A” * Mass of “B”)/Square of “D”

I.e. F = G (m * m)/d²   

Here, G is gravitational constant. And m is the mass of “A” while m is the mass of “B” and “d” is the distance between them from their centre.

Now, what will be the value of gravitational force if the mass is altered leaving the distance same?

When Mass of body is increased

Let’s increase the mass of the first body “A” by two times. Now product of the masses of the body is 2m². So Force of attraction is given by,

F = G * (2m²)/d²

Here, G and d are constant in both of the cases. Hence, the force of attraction increases two times if the mass of a body is doubled.

Summary:

If the mass of the body is altered, it directly affects the force of attraction between them. That is, if mass increases then force also increases and if mass decreases then force also decreases.