NOTICE MY NUMBERS ARE DIFFERENT FROM SIIMILAR PROBLEMS A pion is created in the

Question

NOTICE MY NUMBERS ARE DIFFERENT FROM SIIMILAR PROBLEMS

A pion is created in the higher reaches of Earth's atmosphere when an incoming high-energy cosmic-ray particle collides with an atomic nucleus. A pion so formed descends toward Earth with a speed of 0.97c. In a reference frame in which they are at rest, pions decay with an average life of 28 ns. As measured in a frame fixed with respect to Earth, how far (on the average) will such a pion move through the atmosphere before it decays? (in meters)

Please show your work.

Please calculate a final answer.

Explanation / Answer

t=trest/(1-(v/c)2)

t=28x10-9/(1-.972)

t=1.152x10-7 seconds= 115.2 ns

Hope that helps

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