Question

the gravitational force between two bodies is 4N what will be the gravitational force between the bodies if the distance between them doubles​

Answer 1

Answer :-

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

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

Here , F = 4N ( Given )

If distance between them doubles then ,

$F′ = \frac{GMm}{ {(2r)}^{2} }$

$F′ = \frac{GMm}{ {4r}^{2} } \: \: -----------(2)$

Comparing (1) and (2),

$F′ = \frac{F}{4} = \frac{4N}{4} = 1N$

So , gravitational force between the bodies is 1N.