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(a) Show that the kinetic energy K and the momentum Problem 3E Chapter 8

University Physics | 13th Edition

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Problem 3E

(a) Show that the kinetic energy ?K? and the momentum magnitude ?p? of a particle with mass m are related by ?K? = ?p?2/2?m?. (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?

Step-by-Step Solution:

Solution 3E Step 1 of 3: a) he momentum is the product of mass and velocity p = mv v = p m The kinetic energy is, K.E = mv 2 2 1 p 2 Then K.E = m(2) m 2 = p 2m Step 2 of 3: b) (K.E) = (K.E) C B p2 p2 C = B 2mC 2mB m pB= Bpc mC = 0.145 pg 0.040 kgC p = 1.9 p B c The base ball has the greater magnitude of momentum p pC = 1.9 B = 0.526

Step 3 of 3

ISBN: 9780321675460

Since the solution to 3E from 8 chapter was answered, more than 261 students have viewed the full step-by-step answer. This full solution covers the following key subjects: momentum, Energy, kinetic, magnitude, Greater. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 3E from chapter: 8 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. The answer to “(a) Show that the kinetic energy ?K? and the momentum magnitude ?p? of a particle with mass m are related by ?K? = ?p?2/2?m?. (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?” is broken down into a number of easy to follow steps, and 91 words.

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