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Chapter 9 Skill Building

Chapter 9 Skill Building - MasteringPhysics Assignment...

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MasteringPhysics: Assignment Print View Conservation of Momentum in Inelastic Collisions Learning Goal: To understand the vector nature of momentum in the case in which two objects collide and stick together. In this problem we will consider a collision of two moving objects such that after the collision, the objects stick together and travel off as a single unit. The collision is therefore completely inelastic. You have probably learned that "momentum is conserved" in an inelastic collision. But how does this fact help you to solve collision problems? The following questions should help you to clarify the meaning and implications of the statement "momentum is conserved." Part A What physical quantities are conserved in this collision? ANSWER: the magnitude of the momentum only the net momentum (considered as a vector) only the momentum of each object considered individually Part B Two cars of equal mass collide inelastically and stick together after the collision. Before the collision, their speeds are and . What is the speed of the two-car system after the collision? Hint B.1 How to approach the problem Hint not displayed ANSWER: The answer depends on the directions in which the cars were moving before the collision. Part C http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1043409 (1 of 21)4/11/2006 2:56:04 PM
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MasteringPhysics: Assignment Print View Two cars collide inelastically and stick together after the collision. Before the collision, the magnitudes of their momenta are and . After the collision, what is the magnitude of their combined momentum? Hint C.1 Hint not displayed ANSWER: The answer depends on the directions in which the cars were moving before the collision. Part D Two cars collide inelastically and stick together after the collision. Before the collision, their momenta are and . After the collision, their combined momentum is . Of what can one be certain? Hint D.1 Momentum is a vector Hint not displayed ANSWER: You can decompose the vector equation that states the conservation of momentum into individual equations for each of the orthogonal components of the vectors. Part E http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1043409 (2 of 21)4/11/2006 2:56:04 PM
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MasteringPhysics: Assignment Print View Two cars collide inelastically and stick together after the collision. Before the collision, the magnitudes of their momenta are and . After the collision, the magnitude of their combined momentum is . Of what can one be certain? Hint E.1 How to approach the problem mathematically Hint not displayed Hint E.2 How to approach the problem empirically Hint not displayed ANSWER: When the two cars collide, the magnitude of the final momentum will always be at most (a value attained if the cars were moving in the same direction before the collision) and at least (a value attained if the cars were moving in opposite directions before the collision).
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