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Problem 21 Easy Difficulty

An electron moves to the right with a speed of 0.90 $c$ relative to the laboratory frame. A proton moves to the left with a speed of 0.70 $c$ relative to the electron. Find the speed of the proton relative to the laboratory frame.

Answer

0.54$c$
toward the right

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Video Transcript

uh, in the speed off raton with respect to liberate Cherie, we p l is equal to speed off proton with respect to electron bliss. Uh, speed off electron with respect to liberate Cherie divided by one less our speed off proton with respect to electron multiply by speed off electron with respect to liberate tree divided by C square Let's plug in the values, uh, minus 0.7 zero times the speed of light. Bless zero point 90 times the speed of light divided by uh, one less minus zero point minus 0.7 little times the speed of light multiply by cedar point minds at all times the speed of light divided by, uh, C square. But solving these speed off proton with respect a libretto tree is equal to bless 0.5 for times the speed of light

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