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
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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