Question

The gravitational force between two objects in $200N$ How should the distance between these objects be changed so that force between them becomes $50N$ ?

Answer 1

The gravitational force is given as,

$F=G\frac{mM}{R^2}$

So the distance between the two objects so that the force is halved is given as,

$100=G\frac{mM}{R_1^2}$

$50=G\frac{mM}{R_2^2}$

On dividing the above two equations we get

$R_2=\sqrt{2}{R}_1$