How long does he live as it measured in his frame?

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SUMMARY

The discussion centers on calculating the lifespan of a muon traveling at a speed of 0.999c over a distance of 4.6 km. The correct formula used is t = L/γv, where γ (gamma) represents the Lorentz factor. This calculation confirms that the time experienced by the muon differs from the time measured in the Earth's frame due to relativistic effects. The solution provided is accurate and effectively demonstrates the principles of special relativity.

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Just simple question to check

Homework Statement


A muon formed in the high Earth's athmoshere travels at speed v=0.999c
for a distance of a L=4.6 km before he decays.How long does he live as it measured in his frame?





The Attempt at a Solution



[tex]t=\frac{L/\gamma}{v}[/tex]
 
Last edited by a moderator:
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Yes, that's right.
 
Thanks.
 

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