Question

if the distance between two objects increases 5 times, the gravitational force changes by ______ time

Answer 1

Answer:

Let gravitational force between the objects be F. 

When r is increased by 5 times, let m1 be increased by k times to maintain the same gravitational force between the objects. Solving the above equation, we get k=25. Thus the mass of one of the objects would have to be increased 25 times.