Question

Let
F equal the gravitational force between the Earth and Moon. If the
distance between (centers of) Earth and Moon is halved, what would
the gravitational force between them equal ?

Answer #1

Every object in the universe pulls every other object with a force
which is directly proportional to the product of their masses and
inversely proportional to the square of the distance between
them.

The Gravitational force formula is given by

F = Gm1m2/r^{2}

Where,

G is universal gravitational constant, m1 and m2 are mass of bodies
r is the radius between the two masses.

if r is halved i.e r' = r/2

then F' = Gm1m2/r'^{2} = Gm1m2/(r/2)^{2} =
4Gm1m2/r^{2} = 4F

**So, If the distance between (centers of) Earth and Moon is
halved, then the gravitational force will be 4 times.**

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