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Universal Law of Gravitation

IF TWO OBJECT...

Question

IF TWO OBJECTS ARE SEPA RATED BY DISTANCE d EXPERIENCING GRAVITATIONAL FORCE F . IF ONE OF THE MASSES IS DOUBLED AND DISTANCE BETWEEN THEM IS HALVED FIND FORCE BETWEEN THEM ?

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Solution

According to Newton's Law of Gravitation the force of gravitation between two objects separated by a certain distance is given as
F = GmM / r²
now for the second case
F' = Gm'M / r'²
where
m' = 2m
and
r' = r/2
sp, we get
F' = G(2m)M/ (r/2)² = 8[GmM/r²]
thus,
F' = 8F
the force increases eightfold.

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