Calculate the force when the distance between two objects is reduced by the factor of two
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We know that According to the law of gravitation, the force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them.
F=G
r
2
Mm
So, if Distance is halved, i.e new r=
2
r
So, New F=G
2
2
r
2
Mm
⇒F=4G
r
2
Mm
So, Force of gravitation increases by 4 times when distance reduced by half
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