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Relativity and Lorentz Transformations

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  1. Apr 25, 2016 #1
    1. The problem statement, all variables and given/known data
    Spaceship A of length 30m travels at 0.6c past spaceship B. Clocks in frame S' of spaceship A and S of spaceship B are synchronised within their respective frames of reference and are set to zero, so that t' = t = 0 at the instant the front of spaceship A passes the rear of spaceship B located at x' = x = 0. At this time a light flashes at the front of spaceship A.

    a. When the light flash reaches the rear of spaceship A, what is the reading of a clock there?
    b. What is the reading on the clock on spaceship B when according to an observer on B, the flash reaches the rear of A?

    2. Relevant equations
    Lorentz transformation formulas

    3. The attempt at a solution
    a. From spaceship A's POV, it is stationary. It measures proper length. Thus time t1' = 30m / speed of light. Is this correct?

    b. Using Lorentz transformation of time,
    t = γ(t' + ux'/c2)

    x1' = -30, u = 0.6c and t1' from answer in a, I got t1 = 5.0*10-8 s. Does this work?

    Thanks!
     
  2. jcsd
  3. Apr 25, 2016 #2
    Yes.
     
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