Question

Gravitational force between two bodies is 1 newton.If the distance between them twice, what will be the force?

Answer 1

We know, Newton's law of gravitation in mathematical form is

$F=\frac{GMm}{r^2}$.........................(1)

Here, F=1 N (Given)

If distance between them is made twice , then,

$F^{\prime }=\frac{GMm}{(2r{)}^2}$

=$\frac{GMm}{4r^2}$.......................(2)

Comparing (1) and (2),

$F^{\prime }=\frac{F}{4}$=$0.25\ast 1$ =$0.25N$