The two mine cars of equal mass are connectedby a rope which is initially slack. Car A

Chapter 3, Problem 3/213

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The two mine cars of equal mass are connected by a rope which is initially slack. Car A is given a shove which imparts to it a velocity of 4 ft /sec with car B initially at rest. When the slack is taken up, the rope suffers a tension impact which imparts a velocity to car B and reduces the velocity of car A.

(a) If 40 percent of the kinetic energy of car A is lost during the rope impact, calculate the velocity \(v_{B}\) imparted to car B. (b) Following the initial impact, car B overtakes car A and the two are coupled together. Calculate their final common velocity \(v_{C}\).

                                       

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