Question

The distance between two bodies is tripled how is the magnitude of gravitational force between them effected?

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

Explanation:

The general expression of Newton's Law of Gravitational Force:

F= Gm1m2 / r2

Now, the distance between the masses is tripled (i.e. 3r)

So, new force will be:

F2 = Gm1m2 (3r)^2

F2 = Gm1m2 / 9r2

F2 = 1/9 × Gm1m2/ r^2

F2 = 1/9 × F

So, the new gravitational force becomes 1/9 times the initial value.