Question

The gravitational force between two identical bodies is 200 N. Mass of both bodies becomes twice and
separation becomes half. What will be a new force between them?

Answer 1

Answer:

If the mass of both of the objects is doubled, then the force of gravity between them is quadrupled; and so on. 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.

Answer 2

Answer:

Given, Force between two bodies, F = 200 N

Force between two identical bodies, F = Gm^2/ r2

F = Gm1m2/r^2

Now the mass of both bodies becomes twice and separation becomes half, New force

F’ = G(2m)(2m)/(r/2)^2=Gm^2/r^2 = 16 F

Force becomes sixteen times.

New force, F’ = 16 x 200 = 3200 N

Hope it Helps :)