Q. 64.1( 159 Votes )

# What happens to the force between two objects, if:

(i) The mass of one object is doubled?

(ii) The distance between the objects is (a) doubled, (b) tripled?

(iii) The masses of both objects are doubled

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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