Question

how does the force of gravitation between two objects change when the distance between them is reduced to half

Answer 1

Hey mate, here is your Answer.

As we know, force is inversely proportional to
${r}^{2}$

Thus, F = 1/ ${r}^{2}$

If the distance is reduced to half

F = 1/ ${r}^{2}$ /4

=> F = 4/ ${r}^{2}$

Thus the force will become 4 times.

Answer 2

☺ Hello mate__ ❤

◾◾here is your answer...

According to the universal law of gravitation, gravitational force (F),

F∝ 1/r^2

If distance r becomes r/2, then the gravitational force will be proportional to

F ∝ 1/ (r/2)^2 ∝ 4/r^2

Hence, if the distance is reduced to half, then the gravitational force becomes four times larger than the previous value.

I hope, this will help you.

Thank you______❤

✿┅═══❁✿ Be Brainly✿❁═══┅✿