1. A motion cart with mass m = 1 kg and known initial speed v_m = 3 m/s collides with another motion cart with mass M = 2 kg and unknown initial speed v_M. Cart M moves with final speed v_f = -0.33 m/s after the collision. Assume this is a 1D inelastic collision
   1. Draw a diagram of the problem, including a coordinate system and known variables.
   2. Explain how conservation of momentum and energy apply to elastic and inelastic collisions, using at least three sentences.
   3. Solve for the total momentum of the system prior to the collision. Leave the unknown speed v_M as a variable.
   4. Use momentum conservation to determine the unknown speed v_M.
   5. Calculate the energy lost during the collision. (Hint: calculate the total kinetic energy before and after the collision.)