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Question

A loaded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation θ. The gun is initially at rest on a horizontal frictionless surface. After firing, the centre of mass of the gun-shot system


A

moves with a velocity vmM in the horizontal direction.

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B

moves with velocity vm cos θM in the horizontal direction.

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C

remains at rest in the horizontal direction.

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D

moves with a velocity v(Mm)(M+m) in the horizontal direction.

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Solution

The correct option is C

remains at rest in the horizontal direction.


Since there is not external force acting on the gun-shot system in the horizontal direction, the centre of mass of the system continues to remain at rest. Hence, the correct choice is (c).


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