Question

What happens to the gravitational force between two objects, if the distance between them is increased by 50 %?

Answer 1

Answer: Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

Explanation: point me

Answer 2

The gravitational force between the two objects will decrease by 7% if the distance between them increased by 50%.

The above statement can easily be supported by the formula of the gravitational force between the two objects.

                     $Gavitaional~Force=G~\cfrac{M_1*M_2}{D^2}$

The formula above has a distance square, inversely proportional to the gravitational force. So the gravitational force will decrease as the distance is increased by 50 %.

As,

                   $Gravitational~Force ~~\alpha~~\cfrac{1}{D^2} \\\\~~~~~~~~~~~~~~~~~~~~~~~~~~D~~\alpha~~\sqrt[]{\cfrac{1}{Gravitational~Force} }$

the increase in distance will decrease the gravitational force by the square root of increase.