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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:

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remains at rest.

moves with a velocity $\frac{mv}{M} .$

moves with a velocity $\frac{v (M - m)}{(M + m)}$ in the horizontal direction.

moves with velocity $\frac{mv}{M} cosθ$ in the horizontal direction.

answer is C.

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Detailed Solution

Since there is no external force acting on the gun-shot system, the centre of mass of the system continues to remain at rest.

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