Question

Two objects with a Gravitational Force of 5000 N are moved apart 3 times the original distance. What is the new gravitational attraction?

Answer 1

Gravitational force between two objects will depends on mass and distance between the two objects

It is given by the formula as

$F = \frac{Gm_1m_2}{r^2}$

Now here we can say that it depends inversely on square of distance between two masses

now if force is 5000 N when two masses are at distance "r" from each other

so it is given as

$5000 = \frac{Gm_1m_2}{r^2}$

similarly we can say that if distance is increased by 3 times then we will have

$F = \frac{Gm_1m_2}{(3r)^2}$

now we will find the ratio of two forces

$\frac{F}{5000} = \frac{1}{9}$

so now the new force will be given as

$F = \frac{5000}{9} = 555.5 N$