Question

Objects 1 and 2 attract easch other with a gravatinoal force of 72.0 units if the distance separating objects 1 and 2 is tripled then the new gravitonal force will be units

Answer 1

Given :

Objects 1 and 2 attract each other with a gravitational force of 72.0 units.

To Find :

If the distance separating objects 1 and 2 is tripled then the new gravitational force will be units.

Solution :

Let, initial distance is
`r_1` and final distance is
`r_2`.

`r_2 = 3r_1`

We know, gravitational force is inversely proportional to the distance between the objects. So :

`(G_2)/(G_1)=(r_1^2)/(r_2^2)\\\\G_2 = (G_1 * r_1^2)/(r_2^2)\\\\G_2 = (G_1* r_1^2)/((3r_1)^2)\\\\G_2 = (72)/(9)\\\\G _2= 8\ units`

Therefore, new gravitational force is 8 units.