Special relativity relating 3 dimensions

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Homework Help Overview

The problem involves determining the coordinates of an event in a moving reference frame S' using Lorentz transformations. The event is specified in frame S with given spatial and temporal coordinates, and S' is moving at a significant fraction of the speed of light.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Lorentz transformations, with some questioning the necessity of length contraction and others suggesting the use of specific transformation equations to find the coordinates in the moving frame.

Discussion Status

The discussion is active, with participants exploring different aspects of the Lorentz transformations. Some guidance has been offered regarding which equations to use, but there is no explicit consensus on the approach to take.

Contextual Notes

Participants are navigating the complexities of transforming coordinates between frames moving at relativistic speeds, with some uncertainty about the correct application of the Lorentz transformation equations.

Eats Dirt
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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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