(a) Explanation Given Info: The non-relativistic momentum of the particle is m v m is the mass of the particle, v is the velocity of the particle, The relativistic momentum of the particle is p = γ m v .................................... (I) γ is the relativistic factor, The relativistic factor γ is, γ = 1 1 − v 2 / c 2 Substitute 1 1 − v 2 / c 2 in (I) to rewrite p . p = 1 1 − v 2 / c 2 m v ..................................... (II) When the relativistic momentum twice as that of non-relativistic momentum of the particle then p can be written as p = 2 m v (b) To determine The velocity of the particle to produce acceleration twice as the particle is at rest.

14th Edition

ISBN: 9780133969290

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

Question

Chapter 37, Problem 37.29E

(a)

To determine

Relative velocity of the particle under given condition.

(b)

To determine

The velocity of the particle to produce acceleration twice as the particle is at rest.

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Chapter 37, Problem 37.28E

Chapter 37, Problem 37.30E

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Chapter 37 Solutions

University Physics (14th Edition)

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Relative velocity of the particle under given condition.

Solution Summary: The author explains the relativistic momentum of the particle v is 0.866c.

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Relative velocity of the particle under given condition.

The velocity of the particle to produce acceleration twice as the particle is at rest.

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Chapter 37 Solutions