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Space-Time diagram

  1. Sep 25, 2008 #1
    Hello...

    I have a little problem I hope you guys can help me with.
    I'll write down the problem-text first, so it will be easier to point out the problem - hopefully.

    Here it goes:
    Event E0 has the following coordinates in some frame S:

    x = 2 m
    ct = 4 m

    Locate E0 on a space-time diagram for frame S. Draw the lines that define the three invariant regions of space-time for E0. On the diagram, locate each of the follow events:

    E1: x = 0, ct = 1 m
    E2: x= 4 m, ct = 2 m
    E3: x = 4 m, ct = 5 m

    Specify whether each event is on the light cone of E0, in the past or the future of E0, or in the elsewhere. If E is within one of the light cones, find the speed (relative to S) of a frame in which E occurs at the same place as E0. If E is in the elsewhere of E0, find the speed if a frame in which it is simultaneous with E0.


    First I draw my diagram, as you can see on the image, define the invariant regions (Past, future and 2x elsewhere), and locate the 3 events.

    The next question is to specify where the events are happening.
    I get:
    E1 = The past
    E2 = On the light cone
    E3 = In the elsewhere

    The next question is to find the speed (relative to S) of a frame in which E occurs at the same place as E0.

    Then I draw the red line, and get the speed: (2/3)c


    And that's what I got so far. The last part "If E is in the elsewhere of E0, find the speed if a frame in which it is simultaneous with E0." I cannot understand.
    So maybe you can help me out ?


    Thank you
    - Ylle
     

    Attached Files:

    Last edited: Sep 25, 2008
  2. jcsd
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