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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 E_{0}has the following coordinates in some frame S:

x = 2 m

ct = 4 m

Locate E_{0}on a space-time diagram for frame S. Draw the lines that define the three invariant regions of space-time for E_{0}. On the diagram, locate each of the follow events:

E_{1}: x = 0, ct = 1 m

E_{2}: x= 4 m, ct = 2 m

E_{3}: x = 4 m, ct = 5 m

Specify whether each event is on the light cone of E_{0}, in the past or the future of E=, 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 E_{0}. If E is in the elsewhere of E_{0}, find the speed if a frame in which it is simultaneous with E_{0}.

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:

E_{1}= The past

E_{2}= On the light cone

E_{3}= 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 E_{0}.

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 EI cannot understand._{0}, find the speed if a frame in which it is simultaneous with E_{0}."

So maybe you can help me out ?

Thank you

- Ylle

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# Homework Help: Space-Time diagram

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