An electron moves to the right in a laboratory accelerator with a speed of 0.96c

Question

An electron moves to the right in a laboratory accelerator with a speed of 0.96c. A second electron in a different accelerator moves to the left with a speed of 0.75c relative to the first electron. Find the speed of the second electron relative to the lab. An electron moves to the right in a laboratory accelerator with a speed of 0.96c. A second electron in a different accelerator moves to the left with a speed of 0.75c relative to the first electron. Find the speed of the second electron relative to the lab.

Explanation / Answer

speed of electron 1, u1 = 0.96c

speed of electron , u2 =

speed of electron 1 relative to electron 2 , u' = - 0.75 c

Now, for the speed of electron2

- 0.75 * c = (0.96*c - u2)/(1 - 0.96 *x)

solving for u2

u2 = 0.995 c

the speed of the second electron is 0.995 c

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