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Chapter 36: Q. 66 (page 1062)

At what speed, as a fraction of c, is the kinetic energy of a particle twice its Newtonian value?

Short Answer

Expert verified

The speed will be0.78c.

Step by step solution

01

Given information,

We have given, the relativistic kinetic energy of a particle is equal to twice its Newtonian value of kinetic energy.

We have to find the speed of the particle.

02

Simplify 

Since,

K.ER=K.ENmc21-v2c2-mc2=12mv22c2(1-1-v2c2)=v21-v2c21-v2c2=c2v2+c2v=2.35×108m/sv=0.78c.

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