Q. 214.5( 19 Votes )

What happen

Answer :

We know that Gravitational force,

F = GMm/r 2


(i) When the mass of 1 object is doubled


F' = G (2M) m/r 2


F' = 2GMm/r 2


F' = 2F, the force will become 2 times.


(ii) (a)Distance between two objects is doubled


F' = GMm/(2r) 2


F' = GMm/4r 2


F' = 1/4 F, the force will become 1/4 times


(b) Distance between two objects is tripled


F' = GMm/(3r) 2


F' = GMm/9r 2


F' = 1/9F, the force will become 1/9 times


(iii) When masses of both objects is doubled


F' = G (2M)(2m)/r 2


F' = 4GMm/r 2


F' = 4F, the force will become 4 times.

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