Repeat Problem 40 with the second, 3-kg block replaced by a block having a mass of 5 kg and moving to the right at 3 m/s.

(From problem 40)

(a) Find the total kinetic energy of the two blocks in this reference frame.

(b) Find the velocity of the center of mass of the two-body system.

(c) Find the velocities of the two blocks relative to the center of mass.

(d) Find the kinetic energy of the motion of the blocks relative to the center of mass.

(e) Show that your answer for part (a) is greater than your answer for part (d) by an amount equal to the kinetic energy of the center of mass.