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Calculating the velocity of muons as they leave an accelerator. (Info is given)

  1. Jul 7, 2012 #1
    Please refer to the link below for the problem statement and known data.

    http://imgur.com/1CQPk

    Calculate the velocity of the muons as they leave the accelerator.



    From my understanding, I must manipulate the Time Dilation equation in such a way so as to make velocity 'v' the subject of the equation. So far I haven't been able to manipulate and can't think of any other methods I can use to find the muons velocity. (Im assuming its value is close the the speed of light

    Please note, Unfortunately I do not have answers, just marking guidelines which don't help me at all. Any help will be appreciated.
     
    Last edited: Jul 7, 2012
  2. jcsd
  3. Jul 7, 2012 #2
    Δt = 1/√(1-v^2/c^2) * Δt_p

    When v = 0, Δt = Δt_p = 2.2 μs

    When the muon is moving, Δt = 5.0 μs, v is unknown, Δt_p = 2.2 μs.

    You should be able to algebraically solve for v and plug in the values.
     
  4. Jul 7, 2012 #3

    Doc Al

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    Staff: Mentor

    Show what you've done so far and where you are stuck.
     
  5. Jul 7, 2012 #4
    Thanks Cryora, much appreciated ! :D
     
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