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Home» class 9»Science» Chapter 9: Gravitation

How does the force of gravitation between two objects change w... - Science

Question

How does the force of gravitation between two objects change when the distance between them is reduced to half?

Answer

The force of gravitation becomes 4 times its original value.

Reason:
According to the universal law of gravitation, force is inversely proportional to the square of the distance (F \propto 1/d^2).
If the distance is reduced to half (1/2), the force becomes:
1 / (1/2)^2 = 1 / (1/4) = 4 times.