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Car A is 1200 kg and is traveling 15 m/s east. It collides head-on with car B which is 1600 kg and is traveling

west at 12 m/s

(a) What is the total momentum (vector) of the system?

(b) From the information given, is it possible to predict the velocities of the cars after the collision? Explain.

(c) Suppose that the cars bounce off of each other, so that Car A is traveling west at 2.0 m/s after the collision. Write the velocities (in proper vector notation) of both cars after the collision.

(d) Suppose that instead car A travels west after the collision at 0.20 m/s. Does this result in a rather strange prediction for car B's velocity after the collision? Explain.

(e) What is the smallest westward velocity of car A after the collision that "makes sense"? Explain.

(f) Finally, return to the case where car A is traveling west at 2.0 m/s after the collision. But now suppose that a 100 kg piece breaks off of car B during the collision. This piece goes over car A and flies through the air to the west at 6.0 m/s. Find the velocity of car B after the collision in this case.

(g) Suppose, implausibly, that the cars are made out of some sort of super material so that neither one is damaged at all in the collision. What are the velocities of both cars after the collision in this case?

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