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Chapter 36: Q. 39 (page 1060)

At what speed, as a fraction of c, is a particle’s kinetic energy twice its rest energy?

Short Answer

Expert verified

v=0.88c

Step by step solution

01

Given Information

We have to find the speed v, as a fraction of c, is a particle’s kinetic energy twice its rest energy.

02

Simplify

Total energy formula is

E=mc2⇒E=mc21-v2c2

And

The rest of energy formula is

Eο=mc2

To find speed v, as a fraction of c,we will calculate it as below

E=2Eοmc21-v2c2=2mc211-v2c2=2vc=1-122vc=0.88v=0.88c

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