T55. Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it moves with v = 0.980 c through the lab, how far does it travel in the lab before decaying.

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Chapter1: Units, Trigonometry. And Vectors
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**Problem T55:** Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it moves with \( v = 0.980 \, c \) through the lab, how far does it travel in the lab before decaying?

In this problem, you are asked to determine the distance a subatomic particle travels in a laboratory setting before it decays, given its mean lifetime and velocity. Use the principles of relativistic physics to calculate the time dilation and the distance traveled.
Transcribed Image Text:**Problem T55:** Consider a subatomic particle for which the mean lifetime is 480 ns in its rest frame. If it moves with \( v = 0.980 \, c \) through the lab, how far does it travel in the lab before decaying? In this problem, you are asked to determine the distance a subatomic particle travels in a laboratory setting before it decays, given its mean lifetime and velocity. Use the principles of relativistic physics to calculate the time dilation and the distance traveled.
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