Question

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Here's your question__

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

Answer 1

According to the law of gravitation, the force of attraction acting between two bodies is given by,

Thus, when the distance between the objects is reduced to half the gravitational force increases by four times the original force.

Answer 2

F = GMm/r²
F' = GMm/((0.5r)²)
F' = GMm/(0.25r²)
F' = (1/0.25) (GMm/r²)
F' = 4 F

Here, F stands for force of gravitation.
G for gravitational constant.
M and m, the masses of the bodies.
So, New force will be 4 times stronger than original force.