what happens to the force between two objects if (a) the mass of one object is doubled (b) the distance between the object is doubled and tripled ? (c) the mass of both object are doubled?
Answers
Answer:
a) If the mass of any one object is doubled then the force will also increase, since force is directly proportional to mass.
b) In both the cases the force will decrease, because the force of gravitation is inversely proportional to the distance between the objects. In the first case the force will become 1/4th of the actual force and in the second case the will become 1/6th of the actual force.
c) The force of gravitation will increase and reach four times the actual force, if the masses of both objects are doubled.
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Answer:
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: