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Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford
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Answer: (a) Show that the kinetic energy K and the

Chapter 8, Problem 3E

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QUESTION:

Problem 3E

(a) Show that the kinetic energy K and the momentum magnitude p of a particle with mass m are related by K = p2/2m. (b) A 0.040-kg cardinal (Richmondera cardinalis) and a 0.145-kg baseball have the same kinetic energy. Which has the greater magnitude of momentum? What is the ratio of the cardinal’s magnitude of momentum to the baseball’s? (c) A 700-N man and a 450-N woman have the same momentum. Who has the greater kinetic energy? What is the ratio of the man’s kinetic energy to that of the woman?

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QUESTION:

Problem 3E

(a) Show that the kinetic energy K and the momentum magnitude p of a particle with mass m are related by K = p2/2m. (b) A 0.040-kg cardinal (Richmondera cardinalis) and a 0.145-kg baseball have the same kinetic energy. Which has the greater magnitude of momentum? What is the ratio of the cardinal’s magnitude of momentum to the baseball’s? (c) A 700-N man and a 450-N woman have the same momentum. Who has the greater kinetic energy? What is the ratio of the man’s kinetic energy to that of the woman?

ANSWER:

Solution 3E

Step 1 of 3:

a)The momentum is the product of mass and velocity

The kinetic energy is,

           

                   

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