Q. 31

Expert-verified
Found in: Page 1060

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A laboratory experiment shoots an electron to the left at . What is the electron’s speed, as a fraction of c, relative to a proton moving to the right at ?

The electron's speed is .

See the step by step solution

## Step 1: Given Information

We have given that a laboratory experiment shoots an electron to the left at .

We have to find the electron’s speed, as a fraction of , relative to a proton moving to the right at .

## Step 2: Simplify

Frame of Earth :

Frame of Proton :

moves at. In the laboratory frame, the electron's velocity is .

Using, the Lorentz velocity transformation equation,

Therefore the electron's speed is .