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Q. 40

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1060

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Short Answer

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

The speed of particle is 0.866c.

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Step by Step Solution

Given information

We have given that, particle’s total energy twice its rest energy.

Step 1.

We know that the formula of total energy is :

Here, m = mass of particle

v = velocity of particle

= Lorentz factor

We have given that total energy is twice of rest mass energy.

Here = total energy

= rest mass energy

Step 2.

Substituting in the formula of total energy :

We know that , substituting this value of :

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