Question

What happens to the gravitational force between two projects if masses are of both object are doubled.the distance between in are also doubled

Answer 1

We know the following :

Gravitational force is directly proportional to the product of the mass of objects .

Gravitational force is inversely proportional to the distance between the objects.

On doubling both the masses , the gravitational force will increase by 4 th of the original because each masses are now doubled and they are multiplied.

On doubling the distance the gravitational force will decrease by one - fourth because it is inversely proportional to the square of the distances.

Now the gravitational energy will become = 4 × 1/4 th

Hence the gravitational force will be the same .