Question

The gravitational force between two bodies is 1 n.If the distance between them is doubled what will be the force?

Answer 1

Answer:

The gravitational force between two objects is inversely proportional to the square of distance between them. So, if the distance between two objects is doubled, then the gravitational force becomes 2×21. That is, 1/4. Therefore, if the distance between two masses be doubled, then the force between will becomes 1/4.

Explanation:

Answer 2

Answer:

new gravitational force ,    $F_g'$ = 0.25 N

Explanation:

given:

$F_g$ = 1 N

let the new force be $F_g'$

we know that    $F_g$  $\alpha$   $\frac{1}{d^2}$

where  d = distance between the two objects.

now   d' = 2d

so,

$\frac{F_g'}{F_g} = \frac{d^2}{{d'}^2}$

$\frac{F_g'}{F_g} = \frac{d^2}{4{d}^2}$

${F_g'} = \frac{F_g}{4}$

then new gravitational force =>   $F_g'$ = (1/4) N  = 0.25 N