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Homework Help: Special Relativity Problem.

  1. Jun 5, 2010 #1
    1. The problem statement, all variables and given/known data

    A particle has a rest mass of m0 and a half life of t0. An observer measures the half life of the particle, which has a total energy of E and a momentum of p.

    Find an algebraic expression for the half life the observer measures for the particles, using only the symbols defined above.

    I really don't know how to start this problem!
     
  2. jcsd
  3. Jun 6, 2010 #2

    tiny-tim

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    Homework Helper

    Hi QuantumJG! :smile

    With questions like this, be logical

    start by writing out all the relevant equations you know (in this case, including the decay-rate equation) …

    what do you have? :smile:
     
  4. Jun 6, 2010 #3
    Really all that I have is:

    E^2 = (pc)^2 + (mc^2)^2

    t = γt_0
     
  5. Jun 6, 2010 #4
    And the equations for the decay?
     
  6. Jun 7, 2010 #5
    Hi Joel. :)

    This problem becomes very simple when you recognize that

    [itex]\gamma = \frac{E_{total}}{E_{rest}}[/itex]
     
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