Question

 If the distance between two bodies becomes half,the gravitational force between them becomes________ *

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Answer 1

Answer:

four times

Explanation:

when the distance between the 2 objects is halved, the gravitational force between the 2 objects is doubled. when the distance between the 2 objects is doubled then the gravitational force doubles.

PLEASE MARK BRAINIEST

Answer 2

If the distance between two bodies becomes half, then the gravitational force between them becomes four times greater than the initial value.

• If two bodies having masses '$m_{1}$' and '$m_{2}$' are at a distance 'r' from each other, then according to the Universal Law of Gravitation;

        The gravitational force between the two bodies is;

              F = (G x $m_{1}$ x $m_{2}$) / r², where 'G' is the gravitational constant.

• This law proves that the force 'F' between the two bodies '$m_{1}$' and    '$m_{2}$ ' is inversely proportional to the square of the distance 'r'  between them

              i.e; F ∝  (1 / r²)

• When r becomes r/2,

                   F ∝ (2/r)²

               ⇒ F ∝ 4/r²

               ⇒ F ∝ 4(1/r²)

               ⇒ F = 4 (G x $m_{1}$ x $m_{2}$) / r²

• This proves that when distance is halved, the force increases by four times.