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 = (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 = (Gm_1m_2)/(r^2)`

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

`F = (Gm_1m_2)/((3r)^2)`

now we will find the ratio of two forces

`(F)/(5000) = (1)/(9)`

so now the new force will be given as

`F = (5000)/(9) = 555.5 N`