problem set 2

# problem set 2 - Collision at an Angle Two cars both of mass...

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Collision at an Angle Two cars, both of mass , collide and stick together. Prior to the collision, one car had been traveling north at speed , while the second was traveling at speed at an angle south of east (as indicated in the figure). After the collision, the two-car system travels at speed at an angle east of north. Part A Find the speed of the joined cars after the collision. Hint A.1 Determine the conserved quantities Which of the following statements is true for the collision described? ANSWER: Momentum is conserved but kinetic energy is not conserved. Kinetic energy is conserved but momentum is not conserved. Both kinetic energy and momentum are conserved. Neither kinetic energy nor momentum is conserved. Correct Apply conservation of momentum: . Find both components (north and east) of the initial momentum using the information in the problem introduction. The magnitude of is equal to the magnitude of the momentum vector for the two-car system after the collision: . Hint A.2 The component of the final velocity in the east-west direction Find the component of in the east-west direction.

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ANSWER: = Correct Part B What is the angle with respect to north made by the velocity vector of the two cars after the collision? Hint B.1 A formula for Let be the east-west component of , and the north-south component. Then , since the angle asked for is the angle east of north. Express your answer in terms of . Your answer should contain an inverse trigonometric function. ANSWER: = Correct A Ball Hits a Wall Elastically A ball of mass moving with velocity strikes a vertical wall. The angle between the ball's initial velocity

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## This note was uploaded on 04/07/2010 for the course PHYS 3163 taught by Professor Pickett during the Spring '10 term at CSU Long Beach.

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problem set 2 - Collision at an Angle Two cars both of mass...

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