Lorentz Velocity Transformations Question

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SUMMARY

The discussion focuses on the application of the Lorentz velocity transformation to determine the speed of a positron as observed from the rest frame of an electron. The electron and positron are moving at speeds of 0.5c and 0.7c, respectively. The correct approach involves using the velocity addition formula derived from the principles of special relativity. The participant confirms the correctness of their solution while emphasizing the importance of understanding the derivation of formulas in physics.

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  • Understanding of special relativity concepts
  • Familiarity with Lorentz transformations
  • Knowledge of velocity addition formula in relativistic contexts
  • Basic principles of electron and positron behavior
NEXT STEPS
  • Study the derivation of the Lorentz velocity addition formula
  • Explore examples of relativistic velocity transformations
  • Learn about the implications of special relativity on particle physics
  • Review the concepts of rest frames and their significance in physics
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Students of physics, particularly those studying special relativity, as well as educators and anyone interested in the dynamics of particles like electrons and positrons.

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Homework Statement



An electron and a positron are observed from the lab to move in opposite
directions with a speed of 0.5c and 0.7c, respectively. Find the speed of the
positron when observed in the electron's rest frame.


Homework Equations


in attached PDF


The Attempt at a Solution


in attached PDF
---------------------%------------------
I would like you to check my solution, if it is wrong, show me where i went wrong, and give me a hint, if it's right, gimme a cookie!
this forum has been helping me immensely with Modern Physics.

Please refer to the attached Document
 

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You ended up deriving the velocity addition formula. I wonder why you could not just have used it directly. The result seems correct.
 
if i don't derive it a couple of times myself, i won't memorize it, and i won't know "what" it means, ...
i was taught physics 1 by a great professor who didn't use except two formulas (f=ma, and a=+- 9.8) we had to derive everything else..
i remember he said once when we told him it was hard to derive the displacement from the acceleration... he looked at us with such a stare and said "Wow... are you all really that stupid! It's not that hard"...
 

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