The force between two objects will increase four times if the distance is halved.
Let "r" be the initial distance between two objects,
then the final distance = r/2
and m₁, m₂ be the masses of the two objects,
and G is the universal gravitation constant.
according to Newton's law of gravitation, initial force F1,
F1 = G × m₁m₂/ r²
The final force F' = G × m₁m₂/ (r/2)²
= 4G × m₁m₂/ r²
= 4F
Hence, when the distance between two objects is halved The force will increase four times.
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