. What happens to the force between two objects, if


(i) The distance between the objects is doubled and tripled?

(ii) The masses of both objects are doubled?

Best Answer

Answer: i. If the distance between the objects is doubled and tripled

If it’s doubled

Hence,

F = (Gm1m2)/(2R)2

F = 1/4 (Gm1m2)/R2

F = F/4

Force thus becomes one-fourth of its initial force.

Now, if it’s tripled

Hence,

F = (Gm1m2)/(3R)2

F = 1/9 (Gm1m2)/R2

F = F/9

Force thus becomes one-ninth of its initial force.

ii. If masses of both the objects are doubled, then

F = (G2m1 2m2)/R2

F = 4F, Force will therefore be four times greater than its actual value.

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