Velocity in Lorentz Transformations

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Homework Help Overview

The discussion revolves around the application of Lorentz transformations in the context of velocity, particularly in scenarios involving multiple reference frames. The original poster is trying to understand when to use specific Lorentz velocity equations.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to clarify the use of two different Lorentz velocity equations and expresses confusion regarding their application. Some participants question the labeling of coordinate systems and the direction of motion, while others provide context about the frames of reference involved.

Discussion Status

The discussion is ongoing, with participants exploring the implications of the equations and the setup of the problem. The original poster has provided a specific example involving two particles moving in opposite directions and has noted discrepancies in the results obtained from the different equations. There is no explicit consensus yet on the correct interpretation or application of the equations.

Contextual Notes

Participants highlight the importance of clearly defining the coordinate systems and the motion of the reference frames involved, suggesting that assumptions could lead to confusion in applying the Lorentz transformations.

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I'm reviewing for exams and don't understand when to use which Lorentz velocity equation to use.
one goes

v'=(v-u)/(1-vu/c^2)

and the second

v=(v'+u)/(1+v'u/c^2)
 
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You should probably let us know some details such as how your coordinate systems are labeled i.e. is the unprimed system system 'stationary' or moving, and which direction the moving system is going in. Common usage could be assumed, but I'd prefer not to make that assumption.
 
It looks like you have a particle moving at velocity, v, in some frame of reference, K. Then, you consider another frame of reference, K', moving at velocity, u. Then, the equations tell you the velocity of the particle, v', as seen in K' in terms of v, and the velocity of the particle, v, as seen in K in terms of v'.
 
hmm ok here's the question

two particles move in opposite directions, with one particle at a speed .784c and the other 0.650c as measured by the laboratory. What is the speed of one particle relative to the other.

To get the right answer it's the second equation= .95c

v=(v'+u)/(1+v'u/c^2)
v'=.784c u=.650

the first equation gives .375, which doesn't fit anywhere. So i don't see what it would be used for.
 

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