Two masses are separated by a distance r. If both masses are doubled, the force of interaction between the two masses changes by a factor of ______?

Two masses are separated by a distance r. If both masses are doubled, the force of interaction between the two masses changes by a factor of ______?

Explanation

F ∝ m1m2

If both masses are doubled, F' ∝ (2m1)(2m2) = 4m1m2

So, F' is 4 times F.