Is My Calculation of Lorentz Transformation Correct for Δx and Δt'?

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Homework Help Overview

The discussion revolves around the application of the Lorentz transformation in the context of special relativity, specifically focusing on the calculations of Δx and Δt' in relation to an observer and two events occurring at different locations.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to calculate the Lorentz factor and the transformed coordinates but expresses uncertainty about their values. Participants question the definitions of variables and the sequence of events as perceived in different reference frames.

Discussion Status

Participants are exploring the implications of simultaneity in different reference frames and discussing the need to clarify the order of events. Some guidance has been provided regarding the construction of timelines in the observer's reference frame.

Contextual Notes

There is a mention of the observer and events being aligned, with specific reference to the sequence of events as perceived by the observer. The original poster's assumptions about the values of Δx and Δt' are under scrutiny, and the need for clearer definitions is highlighted.

elevenb
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Homework Statement


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Homework Equations


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The Attempt at a Solution


Hey, I would really appreciate some help with this. I have worked out the Lorentz factor to be 5.025. Am I right to assume that Δx = 200000km, and Δt' = 1.2s and I have to work out Δt and Δx'?

If these are correct I have worked out Δt to be 0.8926 and Δx' to be -3.12(*10^8)? It doesn't seem right..
 
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##\gamma=5.025## yes.
You have not defined your variables or explained your method so I cannot tell what you hoped to find.

Take a step back and consider - the observer is A, the planets are E and G (saves typing).
A,E,G are in a line ... A saw the flash from E first and from G second ... what is the sequence of events?
Can you construct the timeline in A's reference frame?
 
Simon Bridge said:
##\gamma=5.025## yes.
You have not defined your variables or explained your method so I cannot tell what you hoped to find.

Take a step back and consider - the observer is A, the planets are E and G (saves typing).
A,E,G are in a line ... A saw the flash from E first and from G second ... what is the sequence of events?
Can you construct the timeline in A's reference frame?

The line is A,G,E no? Well if I go purely by intuition, I would assume that in A's reference frame E fired first, and then G fired in reply. Which would make sense at non relativistic speeds. I just am not sure how I bring the speed of A into it to find out who fired first in E and G's frame of reference. (Which is what I am looking for?)
 

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