A loaded spring gun of mass M fires a bullet of mass m with a velocity v at an angle of elevation `theta`. The gun is initially at rest on a horizontal smooth surface. After firing, the centre of mass of the gun and bullet system

Options

A. moves with a velocity `v(m)/(M)`
B. moves with a velocity `(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

C