PQR is a wedge fixed to the floor. Two blocks A & B of equal mass m=1kg is placed on either side of wedge connected through a string passing over the pulley P. Initially PB=PA. Another block C of mass m=1kg moving with a velocity 10m//s collides inelasically with A. All the surfaces are smooth and pulley & string are massless. (a) What should be the minimum length of the string AB so that block A does not hit the pulley ? (b) What is the loss in meechanical energy from the instant C hits A to the instant when B starts moving upward ? (g=10m//s^(2))