Question

What happens to the gravitational force between two objects as the bodies become farther apart from each other?

Answer 1

It becomes weaker and weaker.

Explanation:

The equation for Newton's Law of Universal Gravitation is

`F=(Gm_1m_2)/r^2`

As you can see here, if `Gm_1m_2` is constant, or let's say `k=Gm_1m_2`, then we can rewrite the equation as

`F=k/r^2`

or

`Fprop1/r^2`

So, the force is inversely proportional to the square of the radius between the two bodies, and so the gravitational attraction becomes weaker when the distance becomes larger.

I hope this helps!