Consider the Universal law of gravitation,

According to that law, the force of attraction between two bodies is

F = \( \frac{(Gm_1m_2)}{r^2}\)

Where,

m1 and m2 are the masses of the two bodies.

G is the gravitational constant.

r is the distance between the two bodies.

Given that the distance is reduced to half then,

r = 1/2 r

Therefore,

F = \( \frac{(Gm_1m_2)}{r^2}\)

F= \( \frac{(Gm_1m_2)}{(r/2)^2}\)

F = \( \frac{(4Gm_1m_2)}{r^2}\)

F = 4F

Therefore once the space between the objects is reduced to half, then the force of gravitation will increase by fourfold the first force.

Answered by Shivani Kumari | 2 years ago

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