3.-(10 Points) A heavy particle of mass M, collides elastically with a light particle of mass m. The light particle is initially at rest. The initial velocity of the heavy

particle is Vi in the positive x-direction (subscripts h for heavy and i for initial). The final velocity of the heavy particle is given by V (subscript f for final). If the particular collision is such that the light particle goes off in the positive x-direction, a) What is the light particle's final velocity, V (subscript I for light). (answer in terms of V and V) b) What is the fraction of the energy of the heavy particle is lost in the collision (answer in terms of V and VM)