ps7b18 - Ph 111.01 October 15, 2008 PS 7b (18) Problem 1....

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Ph 111.01 October 15, 2008 PS 7b (18) Problem 1. On a horizontal frictionless table, masses A and B (3 kg, 6 kg) slide to the right and left, respectively. They have speeds of 3 m/s and 1 m/s, respectively. The two masses collide, and bounce off each other. After the collision, they travel in opposite directions at speeds of 1.5 m/s and 1.250 m/s, respectively. (Note: In this problem, please use + dir = right, - dir = left, to indicate direction.) a.) Calculate A's momentum: before collision: kg·m/s after collision: kg·m/s Explain why it is NOT conserved. b.) Calculate B's momentum: before collision: kg·m/s after collision: kg·m/s Explain why it is NOT conserved c.) Calculate the A+B system's momentum: before collision: kg·m/s after collision: kg·m/s Explain why it IS conserved. d.) Calculate the kinetic energy of the A+B system: before collision: J after collision: J What kind of collision is this? m A m B v 1A v 1B before m A m B v 2A v 2B after
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Solution. We are assuming that this is a co-linear collision, without bouncing off to the side. Things are complicated enough that we will just take a completely algebraic approach, where velocity to the right will have a positive sign, and velocity to the left, a negative sign. Thus we have: 1 1 2 2 3 m/s 1 m/s 1.5 m/s 1.25 m/s A B A B v v v v = + =−
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ps7b18 - Ph 111.01 October 15, 2008 PS 7b (18) Problem 1....

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