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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Show that the kinetic energy of a particle of mass m is related to the magnitude of the momentum p of that particle by KE = p2/2m. (Note: This expression is invalid for particles traveling at speeds near that of light.)

To determine
The kinetic energy of a particle.

Explanation

Given Info: The mass of the particle is m and momentum of the particle is p

The expression for linear momentumof a particle is,

p=mv                                                                  (1)

  • p is the momentum of the particle,
  • m is the mass of the particle
  • v is the velocity of the particle

Express the relation for kinetic energy of a particle.

K.E=12mv2                                                                       (2)

  • K

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