Answer to Question #317733 in Mechanics | Relativity for Stella

Question

G=GMm/r² where f is magnitude of the force m and m are the sizes of each mass r is the distance between the masses and G is a constant if both M and r are halved keeping all other values constant what is the ratio of the new force F1 to the original force f0 (F1/f0

Answer 1

Answer

Gravitation force is given

$f_0=\frac{GMm}{r^2}$

Now M and r is halved

So force $F_1=\frac{GMm}{2r^2/4}$

So ratio

$\frac{F_1}{f_0}=2$