Question

Two bodies of mass m1 and m2 are seperared by distance R and the force F what should be the distance between them to make the force F/3?​

Answer 1

Answer: Gravitational force acting on the bodies is given by -

F = Gm1m2 / r^2

a) When masses are doubled,

F' = G(2m1)(2m2) / r^2

F' = 4Gm1m2 / r^2

F' = 4F

b) When distance is halved -

F' = Gm1m2 / (r/2)^2

F' = 4Gm1m2 / r^2

F' = 4F

c) When medium is complete vacuum,

As gravitational force is independent of intervening medium.

F' = F

Explanation: