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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Referring to Example 9-9 Suppose the two carts have equal

Chapter 9, Problem 104IP

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QUESTION:

Problem 104IP

Referring to Example 9-9 Suppose the two carts have equal masses and are both moving to the Light before the collision. The initial speed of cart 1 (on the left) is v0 and the initial speed of cart 2 (on the right) is v0/2.(a) What is the speed of the center of mass of this system? (b) What percentage of the initial kinetic energy is lost as a result of the collision? (c) Suppose the collision is elastic. What are the final speeds of the two carts in this case?

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QUESTION:

Problem 104IP

Referring to Example 9-9 Suppose the two carts have equal masses and are both moving to the Light before the collision. The initial speed of cart 1 (on the left) is v0 and the initial speed of cart 2 (on the right) is v0/2.(a) What is the speed of the center of mass of this system? (b) What percentage of the initial kinetic energy is lost as a result of the collision? (c) Suppose the collision is elastic. What are the final speeds of the two carts in this case?

ANSWER:

Step 1 of 8

(a) Given the two carts have equal mass.

Let  be the mass of each cart and  be the initial speed of cart 1 and  the initial speed of cart 2.

The initial speed of cart two can write as,

 

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