Question

the magnitude of gravitational force of attraction between two points object is F .if the mass of each object and the distance between them are tripled then the magnitude of new gravitational force between them is

Answer 1

The force will be same

Answer 2

Let us consider two bodies having masses M and M'.

Let the separation distance between them is r.

Hence, the gravitational force between them is-

                                          $F=G\frac{MM'}{r^2}$  [1]

Here, G is the universal  gravitational force constant.

As per the question, the masses and distance are tripled.

Hence, the mass of the first body will be 3M.

     The mass of the second body will be 3M'

The separation distance will be 3r.

The gravitational force between them will be -

                                          $F'=G\frac{3M*3M'}{[3r]^2}$

                                                  $=G\frac{MM'}{r^2}$   [2]

From  1 and 2 , we get that F = F'

Hence, the magnitude of new gravitational force will be unchanged.