Question

if the distance between two objects is doubled then what will be the effect on gravitational force between them?​

Answer 1

Answer:

You must remember the relationship between gravitational force , mass and distance of separation.

It is given by the formula

F = (G*M1*M2)/ R^2, considering the masses as M1 and M2, the separation distance as R.

G is the universal gravitational constant.

If we keep the masses constant, then gravitational force is inversely proportional to the square of the separation distance.

Keeping this in mind, if the separation distance is doubled, then

the gravitational force is going to decrease by 2^2 = 4 times.

So the answer is decrease by 4 times.

Answer 2

Solution:

Given:

➔ It is given in the question that the distance between two objects is doubled. Then,

To Find:

➔ What will be the effect on gravitational force between them.

Formula used:

➔ $\sf{F = \dfrac{GMm}{(r)^{2}}}$

We know that, $\sf{F = \dfrac{GMm}{(r)^{2}}}$.

And, we know distance between two objects is doubled.

➔ $\sf{F' = \dfrac{GMm}{(2r)}}$

➔ $\sf{F' = \dfrac{GMm}{(2r)^{2}}}$

➔ $\sf{F' = \dfrac{GMm}{4r^{2}}}$

➔ $\sf{F' = \dfrac{1}{4}F}$

Hence, force will become 1/4 times.