3.2. Two physics carts are on an essentially frictionless track. One cart has a mass of 0.5 kg, the other has a mass of 1.5 kg, and they have velcro that makes them stick together when they collide. They are initially moving toward each other, each with a speed of 0.30 m/s. (a) Write an expression for the total momentum of the system composed of the two carts. (b) Just before the collision, what is the velocity of the center of mass of this system? (Velocity is a vector!) (c) What is the maximum velocity of the carts just after they collide and stick together? (d) Show that the momentum transferred from one cart was transferred to the other cart. (e) How much 'convertible kinetic energy' was there in this situation?