inelastic collision

Classical Mechanics Level pending

A ball of mass m is hanging from a string of length L which is attached to a L shaped massless rod .the rod is fixed on a block which is also of mass m ,the whole assembly is kept on a horizontal frictionless surface as shown in diagram. A bullet of mass m moving in horizontal direction collides head on with hanging ball inelastically . Minimum velocity of bullet so that the ball completes the vertical circle is n(under root of 13 gl) (see the upper part of diagram) .find n

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