We need to find how the gravitational force between two object decreases.
The gravitational force between the objects will decrease by
increasing the distance between the objects
decreasing the mass of one of the objects
decreasing the mass of both objects
Gravitational force is given by
[tex]F=\dfrac{Gm_1m_2}{r^2}[/tex]
where
[tex]G[/tex] = Gravitational constant = [tex]6.674\times 10^{-11}\ \text{Nm}^2/\text{kg}^{2}[/tex]
[tex]m_1[/tex] = Mass of one object
[tex]m_2[/tex] = Mass of other object
[tex]r[/tex] = Distance between the two objects
It can be seen that the gravitational force is proportional to the mass of the objects
[tex]F\propto m_1m_2[/tex]
and inversely proportional to the square of the distance between them
[tex]F\propto \dfrac{1}{r^2}[/tex]
So, if mass of one of the objects decreases then the gravitational force will decrease.
Also, if the distance between the objects increases the gravitational force will decrease.
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