How Does Relativity Affect Time and Space Measurements Between Events?

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The discussion revolves around understanding how relativity affects time and space measurements between two events in different frames of reference. The user is confused about which equations to apply, specifically whether to use time dilation, length contraction, or Lorentz transformations. They have calculated a distance of 6.75*10^8m for the second event in frame S' but are unsure how to proceed. The key focus is on determining the spatial difference Δx between the two events as measured in the moving frame S'. Clarification on the relevant equations and concepts in relativity is sought to solve the problem effectively.
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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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