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How do I know which Lorentz trasnform equations to use?

  1. Dec 6, 2013 #1
    1. The problem statement, all variables and given/known data
    1. Two events occur at the same place in a certain inertial frame and are separated
    by a time interval of 4 s. What is the spatial separation between these two events
    in an inertial frame in which the events are separated by a time interval of 6 s?


    2. Relevant equations

    There are two equations here that relate time in different inertial frames:

    t' = γ (t - vx/c^2)

    and

    t= γ (t' + x'/c^2)

    3. The attempt at a solution

    I want to obtain the value of γ from one of these equations but of course, they will give me different answers, how do I know which one to use?

    Thanks for your time.
     
  2. jcsd
  3. Dec 6, 2013 #2
    Have you learned about the following equation, which is derived directly from the Lorentz Transformation:
    [tex](Δx)^2-(cΔt)^2=(Δx')^2-(cΔt')^2[/tex]
     
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