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4. Two balls of equal mass, cach moving with a speed of 4.000 m/s, collide head on. What would the final velocity of cach of the balls be after the impact if: 1. they collide elastically? 2. they collide perfectly inclastically? 5. Five 50 kg girls are sitting in a boat at rest. They cach simultaneously dive horizontally in the same direction at -2.5 m/s from the same side of the boat. The empty boat has a speed of 0.15 m/s afterwards. a. setup a conservation of momentum equation. b. Use the equation above to determine the mass of the boat. c. What type of collision is this? d. Determine the change in mechanical energy of the system. 6. A 3000 kg truck is moving westward through a "frictionless" intersection at 4 m/s. A second truck, with a mass of 5000 kg is moving northward through the same intersection at 3 m/s. They collide and stick together. a. Setup a conservation of momentum equation in the x-direction b. Setup a conservation of momentum equation in the y-direction c. What is the speed of the trucks immediately after impact. d. What is the direction of the trucks immediately after impact. e. What is the change in kinetic energy of the system? Where did the energy go?