Question

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

Answer 1

Answer:

According to Universal law of gravitation, the force of attraction between 2 bodies is:-

F = (G m1m2)/r2

Where m1m2 = the masses of the two bodies,

r = distance between them

 G = gravitational Constant

When the distance is reduced to half i.e. r’ = (1/2) r then,  

F’ = (G m1m2)/r2  

= (G m1m2)/(r/2)2

= (4 G m1m2)/ (r2) = 4F

Therefore when the distance between the objects is reduced to half, then the force of gravitation increases by four times the original force.

Explanation:

Answer 2

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We know that,

Gravitational force

= F = Gm₁m₂/r²

Hemce,

F ∝ 1/r²

Therefore,

Force when distance is halved

= F' = Gm₁m₂ / (r/2)²

F' = 4Gm₁m₂/r²

F' = 4F

Hence the force will become four times of the initial force

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