At an amusement park there are 200-kg bumper cars A, B,

Chapter 13, Problem 13.162

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At an amusement park there are 200-kg bumper cars A, B, and C that have riders with masses of 40 kg, 60 kg, and 35 kg, respectively. Car A is moving to the right with a velocity \(v_{A} = 2 \ m/s\) and car C has a velocity \(v_{B} = 1.5 \ m/s\) to the left, but car B is initially at rest. The coefficient of restitution between each car is 0.8. Determine the final velocity of each car, after all impacts, assuming (a) cars A and C hit car B at the same time, (b) car A hits car B before car C does.

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