How is the gravitational force of attraction between two bodies affected if:
(i) Mass of both bodies is doubled
(ii) The distance between them is halved.

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Solution

Gravitational force $F = \frac{G m_{1} m_{2}}{r^{2}}$
(i) : $F \propto m_{1} m_{2}$
So, gravitational force will increase by 4 times if mass of both the bodies are doubled.
(ii) : $F \propto \frac{1}{r^{2}}$
So, gravitational force will increase by 4 times if distance between them is halved.

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How is the gravitational force of attraction between two bodies affected if:(i) Mass of both bodies is doubled(ii) The distance between them is halved.

Gravitational force F=Gm1m2r2(i) : F∝m1m2So, gravitational force will increase by 4 times if mass of both the bodies are doubled.(ii) : F∝1r2So, gravitational force will increase by 4 times if distance between them is halved.

How is the gravitational force of attraction between two bodies affected if:
(i) Mass of both bodies is doubled
(ii) The distance between them is halved.

Gravitational force $F = \frac{G m_{1} m_{2}}{r^{2}}$
(i) : $F \propto m_{1} m_{2}$
So, gravitational force will increase by 4 times if mass of both the bodies are doubled.
(ii) : $F \propto \frac{1}{r^{2}}$
So, gravitational force will increase by 4 times if distance between them is halved.