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The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become

(a) \frac{F}{4}

 (b) \frac{F}{2}

 (c) F

 (d) 2 F

Answers (1)

Ans. A

Sol.

By universal law of gravitation, we know that the force between two particles kept at a fixed separation will be proportional to product of their masses.

F=\frac{Gm_{1}m_{2}}{r^{2}}\\ \Rightarrow F \alpha \: m_{1}m_{2}

If masses of both the blocks are halved, then the net force of gravitation between them will become one fourth of the original force.

Hence, the correct option to this question is option A.

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