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# exam02_sol_f08 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics Physics 8.01 TEAL Fall Term 2008 Exam 2 Solutions Problem 1 (25 points). Circle your answer. There are five questions and each question is worth 5 points. Question A (5 points): The figure below shows the experimental setup to study the collision between two carts. In the experiment cart A rolls to the right on the level track, away from the motion sensor at the left end of the track. Cart B is initially at rest. The mass of cart A is equal to the mass of cart B. Suppose the two carts stick together after the collision. Assume the carts move frictionlessly. The kinetic energy of the two carts after the collision 1) is equal to one half the kinetic energy of cart A before the collision 2) is equal to one quarter the kinetic energy of cart A before the collision. 3) is equal to the kinetic energy of cart A before the collision. 4) is equal to twice the kinetic energy of cart A before the collision. 5) is equal to four times the kinetic energy of cart A before the collision. 6) None of the above. Solution (1): Since the carts stick together after the collision and they have equal mass, the final speed of the carts is half the initial speed of cart A. The final kinetic energy of the carts after the collision is therefore K f = 1 2 (2 m ) v 0 2 2 = 1 2 1 2 mv A ,0 2 = 1 2 K A ,0 (1.1)

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