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Minkowski diagram frame scale comparison

  1. Dec 5, 2009 #1
    1. The problem statement, all variables and given/known data

    Draw a clearly labelled “Minkowski spacetime” diagram illustrating two events
    ((1) a farmer firing his laser gun at his cow, which is sitting along his positive x-direction, and
    (2) the cow dying) as observed by two observers (S at rest in the farmer’s and cow’s frame,
    and S’ moving at 0.5 c in the direction of the negative x direction.
    Show on the diagram, qualitatively, hyperbolae which determine the scale of the ct, x and
    ct’, x’ axes. Using the diagram, is there any frame S’ where it appears that the cow dying
    caused the farmer to shoot his gun?

    2. Relevant equations



    3. The attempt at a solution

    In my diagram so far i have included a rest frame and a frame moving 0.5c in the -ve x direction. the event of the cow's death [red dot] lies on the lightlike region of the farmer firing the laser [black dot]. how do i construct a hyperbola that will give me the scale of ct' and x' on the x and ct axes? i have seen examples where the axes are changed in the opposite direction but i cant figure out how the negative direction affcts this. can anyone point me in the right direction?. Thanks.

    Edit: the t on the diagram for the S frame is supposed to be 'ct'. ;)
     

    Attached Files:

  2. jcsd
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