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 :

$\dfrac{G_2}{G_1}=\dfrac{r_1^2}{r_2^2}\\\\G_2 = \dfrac{G_1 \times r_1^2}{r_2^2}\\\\G_2 = \dfrac{G_1\times r_1^2}{(3r_1)^2}\\\\G_2 = \dfrac{72}{9}\\\\G _2= 8\ units$

Therefore, new gravitational force is 8 units.