Question

if masses of two object are doubled and the distance between them is halved then find the force of gravitation between them with respect to its initial values​

Answer 1

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

when mass is doubled and distance is halved gravitational force become 16 times as before because

mass is directly proportional to gravitational force and distance is inversely to gravitational force

so,

F=Gm_1m_2/r^2

F = G2*2/1/2^2

F=G 4/1/4

F=G 16

thus gravitational force increase by 16 times