Question

how does the gravitational force between two bodies change, if the distance between them is reduced to half?

A  2 times

B  4 times

C  16 times

D  20 times

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Answer 1

Answer:

option b...4 times is the correct option

Answer 2

Answer:The correct option is (B)4 times

Explanation :

We know that According to the law of gravitation, the force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them.

F=G $\frac{mm}{r ^{2} }$

So, if Distance is halved, i.e new r= $\frac{r}{2}$

So, New F=G $\frac{mm2 ^{2} }{r^{2} }$

⇒F=4G$\frac{mm}{r^{2} }$

So, Force of gravitation increases by 4 times when distance reduced by half.

Hope this answer helps you out.