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Q. 31

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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

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 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 .

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