Question

what will be the gravitational force between two bodies if the mass of each is doubled and the distance between them is halved?

Answer 1

Gravitational force will be 16 times more.

Step-by-step explanation:

we know;

Gravitational force (F) = (Gm1m2)/d^2

when mass of each is doubled and distance between them is halved;

F= (G2m1×2m2)/(d/2)^2

=(4Gm1m2)/(d^2/4)

=4×4(Gm1m2)/d^2

=16(Gm1m2)/d^2

=16F