A loaded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation - The gun is initially at rest on a horizontal frictionless surface- After firing- the centre of mass of the gun-shot systemA- remains at rest in the horizontal direction-B- moves with a velocity vm - M in the horizontal direction-C- moves with velocity vm cos- M in the horizontal direction-D- moves with a velocity v M - m - M - m in the horizontal direction-

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Displacement of COM:Application

A loaded spri...

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

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

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moves with velocity $\frac{v m c o s θ}{M}$ in the horizontal direction.

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remains at rest in the horizontal direction.

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moves with a velocity $\frac{v (M - m)}{(M + m)}$ 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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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

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).

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

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).