3) A bumper car with mass m, = 200 kg is moving at an initial velocity of v = 6 m/s to the right, as shown in the diagram. A stationary second bumper car weighing only m2= 100 kg is directly in its path. You may neglect friction between all objects and the ground in all parts of this problem. Bumper cars. a) What is the initial velocity of the center of mass of the system consisting of both bumper cars? b) The two cars collide in a perfectly elastic collision. What is the total combined kinetic energy of both cars after the collision? Please show your work and explain your answer. c) After the collision, what are the individual velocities of car m, AND car m;? Take care with signs and clearly indicate your axes. d) Now imagine that both cars collide with a stationary hay bale of mass m3 = 900 kg so that both cars and the hay bale all stick together after the collision. What is their final speed? e) What is the final velocity of the center of mass of the system consisting of BOTH cars AND the hay bale after all three of them are stuck together? m3 mz hay bale bumper cars

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