I cannot seem to figure out how to do this problem.(adsbygoogle = window.adsbygoogle || []).push({});

The situation is,

There are two events occuring a given time apart at the same location as seem by an observe in one frame (S). Another observer (S') sees these two events occuring at a differnent amount of time apart. I am trying to find the difference in posisitons of the two observers.

I know that,

x' = (x - ut) / sqrt(1 - u^2/c^2) = gamma*(x - ut)

t' = (t - ux/c^2) / sqrt(1 - u^2/c^2) = gamma*(t - ux/c^2)

But these two equations have too many unknowns for me. All I know are the two times for each observer and the fact that the events occur at the same spot. If I do not know the speed of the S' observer, how can I figure this out?

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# Homework Help: Lorentx Transformation

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