what happens to the force between two object if the mass of one object is doubled the distance between the object is doubled and tripled the masses of both object are doubled
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If the mass of one object is doubled, then the gravitational force will also get doubled. (ii) F is inversely proportional to the square of the distances between the objects. If the distance is doubled, then the gravitational force becomes one-fourth of its original value.
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since, F = GMm/d^2
(a) If mass of one object is doubled,
F1 = G × 2M × m / d^2
F1 = GMm/d^2 × 2
F1 = F×2
(b) Similarly from (a) if distance is doubled, Force becomes 1/4 times the original force.
and if distance is tripled, Force becomes 1/9 times the original force.
(c) If the mass of both the objects is doubled, the force becomes 4 time it's original force.
Explanation:
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