Relativistic Addition of Proton Velocities

  • Thread starter catch-22
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  • #1
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Homework Statement



An electron moves to the right with a speed of 0.90c relative to the laboratory frame. A proton moves to the left with a speed of 0.70c relative to the electron. Find the speed of the proton relative to the laboratory frame.

Homework Equations



Vx'=[Vx-V]/[1+(v2/c2)*Vx]

The Attempt at a Solution



I have no idea where to start other than substituting 0.9c in for V.
 
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Answers and Replies

  • #2
Doc Al
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Using the Lorentz transformation for velocity is a perfectly fine approach. But that formula isn't correct. (Not even dimensionally.) So look up the correct formula.

Hint: Let the lab frame be the moving frame (primed) and let the proton's frame be the "stationary" frame (unprimed).

You can also just use the "addition of velocity" formula, which is derived from the Lorentz transformation (of course).
 
  • #3
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Ahh, got it. Our physics teacher gave us a slightly off formula, so it was cleared up today. Thanks!
 

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