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Gravitational force between a point mass m and M separated by a distance is F. Now, if a point mass 2m is placed next to m in contact with it, the force on M due to m and the total force on M are:

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2F, F

F, 2F

F, 3F

F, F

answer is C.

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Detailed Solution

$F = \frac{{Gm}_{1} m_{2}}{r^{2}} or F \propto m_{1} m_{2}$

Force on mass M due to mass m alone is F and due to mass 2m force is 2F. Therefore, the total force is 3F.

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