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Question
How does the force of gravitation between two objects change when the distance between them is reduced to half?
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Solution
We know that gravitational force between two objects (F) = GMmr2
Hence, F ∝ `1/r^2`
Where r represents the distance.
If the distance is halved, then r = `r/2`
F ∝ `1/(r/2)^2`
F ∝ `1/(r^2/4)`
F ∝ `4/r^2`
Hence, if the distance between two objects is halved, then the gravitational force between them will become 4 times.
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