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

1 Answer
Mar 3, 2018

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!