Question

What will happen to the gravitational force of attraction between two objects if the mass of each is doubled and the distance between them is also doubled?

Answer 1

We know that law of gravitation.
F = G ( m₁Xm₂)/R².
Now m₁ = 2 m₁
m₂ = 2 m₂
R = 2 R
F₁ = G ( 2m₁ X2 m₂)/4R².
F₁ = F
So force between them remains same.