How Does Relativity Affect Time and Space Measurements Between Events?

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SUMMARY

The discussion centers on the relativistic effects of time and space measurements between two events in different frames of reference, specifically S and S'. In frame S, two events occur at the same spatial point with a time interval of 1.70 seconds, while in frame S', the time interval is measured as 2.25 seconds. The user is seeking guidance on applying the Lorentz transformation equations to determine the spatial difference Δx between the two events as observed in frame S'. The relevant equations include time dilation and length contraction principles from Einstein's theory of relativity.

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The question...

Two events are observed in a frame of reference S to occur at the same space point, with the second event occurring after a time of 1.70s. In a second frame S' moving relative to S, the second event is observed to occur after a time of 2.25 s.
What is the difference Δx between the positions of the two events as measured in S'?

I know that you guys like people to post their attempt at a solution, but I am legitimately lost and don't even know where to start :(
All I've managed to work out is that for S', event 2 occurred 6.75*10^8m away.

Help would be much appreciated.
 
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You could start by writing down the relevant equations.
 
That's the problem, I don't know which equations I need. Do I need time dilation? Do I need to consider length contraction? Do I need to use a Lorentz transformation on the coordinates of something? Do I need to get a Lorentz transformation of a velocity?

I am completely lost with this question in every sense of the word.
 
The problem is obviously talking about time between two events in one frame and in another frame. What equation is relevant there? What can you determine from it?
 

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