(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The coordinates of events E1 and E2 in frame S are E1: x=0, t=0

E2: x=8 light seconds t=10 sec

In some frame S'', E1 and E2 occur at the same place. Find the velocity of S'' relative to S.

2. Relevant equations

How should I start the problem? Am I using equation correctly?

3. The attempt at a solution

I attempted using the Lorentz Transformation for time: Δt’’ = γ(Δt - VΔx/c^2). Since the events are supposed to be simultaneous in frame S'', I set t'' to 0. What's left is setting what is in the parentheses equal to 0. I do that, but I get V = 10/8 = 1.25. That would be 1.25c, which obviously isn't possible.

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# Determining the V of S'' in which E1 and E2 are simultaneous

Can you offer guidance or do you also need help?

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