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Universal Law of Gravitation

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Question

State universal law of gravitation.The gravitational force between two objects is 100N.How should the distance between the objects be changed so that the force between them becomes 50N.

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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
100 = GmM/ r²
r²= GmM/100
now for the second case

F' = GmM / r'²
50 = GmM / r'²
r'²= GmM / 50
or
r'²= 2 r²
thus,

r' = râˆš2

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