A loaded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation `theta` . The gun is initially at rest on a horizontal frictionless surface. After firing the centre of mass of the gun-shot sysem Options: A . &nbspmoves wih a velocity ` v m/M` B . &nbspmoves with a velociy (vm)/(M) cos theta` in the horizontal direction C . &nbspremains at rest D . &nbspmoves with a velocity `(v(M-m))/((M + m))` in the horizontal direction .

A loaded spring gun of

Question

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

Options:

A . moves wih a velocity ` v m/M`

B . moves with a velociy (vm)/(M) cos theta` in the horizontal direction

C . remains at rest

D . moves with a velocity `(v(M-m))/((M + m))` in the horizontal direction .

Answer: Option C

If we consider a system consists of gun plus mass m. Then no external force is present on the system. So, the acceleration of centre of mass of system will be zero . Since initially the system is in rest . So centre of mass will always remain at rest.

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