Special relativity relating 3 dimensions

AI Thread Summary
The discussion revolves around applying Lorentz transformations to convert the coordinates of an event from frame S to frame S', which is moving at a velocity of 0.92c. Participants express uncertainty about the correct approach, particularly regarding length contraction and the appropriate Lorentz transformation equations. The conversation emphasizes the need to use the full set of Lorentz transformation equations to accurately determine both spatial and temporal coordinates in the moving frame. Clarification is provided on the specific equations to use for the transformation. Understanding these transformations is crucial for solving problems in special relativity effectively.
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Homework Statement


An event happens in frame S at x=100m y= 10m z=1m at time t=2*10^-3s. What are the coordinates of this event in rame S' that is moving with velocity v=0.92c (ihat) and the orgins coincide at time t=0.


Homework Equations



Lorentz transformations

The Attempt at a Solution



I would think to do length contraction just in the x-axis but I don't think that is right.
Im not entirely sure how to boost from S to the frame S"
 
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Eats Dirt said:

Homework Statement


An event happens in frame S at x=100m y= 10m z=1m at time t=2*10^-3s. What are the coordinates of this event in rame S' that is moving with velocity v=0.92c (ihat) and the orgins coincide at time t=0.


Homework Equations



Lorentz transformations

The Attempt at a Solution



I would think to do length contraction just in the x-axis but I don't think that is right.
Im not entirely sure how to boost from S to the frame S"

Why don't you just use the straight Lorentz Transformation equations?
 
Chestermiller said:
Why don't you just use the straight Lorentz Transformation equations?

Which ones?
x'=y(x-Bct)?
 
Eats Dirt said:
Which ones?
x'=y(x-Bct)?

Yes. But you can also use the other LT equation to give you the t' coordinate of the event.
 

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