   Chapter 12, Problem 12P

Chapter
Section
Textbook Problem

. If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be traveling?

To determine

At what fraction of the speed of light must the particle be travelling?

Explanation

Given info:

If the relativistic kinetic energy of a particle is 9 times its rest energy.

Formula used:

Using the formula of relativistic kinetic energy,

Krel=mc2 1 v 2 c 2 mc2

Here m is mass v is the speed of particle and c is speed of light.

Calculation:

We have, Krel=9mc2,

Substituting the given values in above formula, we get

9mc2=mc2 1 v 2 c 2

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