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Calculate DILATED LIFETIME of muon traveling close to speed of light

  1. Feb 2, 2010 #1
    1. The problem statement, all variables and given/known data

    A muon is traveling with a speed of v = 2.995x10^8 m/s. Calculate the value of the dilated lifetime for this muon. Assume that the speed of light is c = 3.000 x 108 m/s and that the proper lifetime of the muon is 1.500 x 10-6 s.

    Note: Do your calculations to 4 significant figures. Then round off to give an answer good to 3 significant figures. Be sure to include the correct abbreviation for the SI unit.


    2. Relevant equations

    Dilated lifetime
    delta t = delta t0 / [sqrt 1 - (v2/c2)]


    3. The attempt at a solution

    How do I incorparoate the proper lifetime of the muon (1.500x10-6sec)?
     
  2. jcsd
  3. Feb 3, 2010 #2
    I replaced the numerator Delta t0 with the proper lifetime.

    My answer is 2.599 x 10-5 seconds.

    Is this correct??
     
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