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

Asked by Vishal kumar | 1 year ago |  200

##### Solution :-

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 | 1 year ago

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