Solving a Special Relativity Problem with Conservation of Energy and Momentum

AI Thread Summary
The discussion revolves around solving a special relativity problem using conservation of energy and momentum. The equations presented involve the Lorentz factor (gamma) for two particles, labeled a and b, leading to a system of equations: Gamma a + 2 Gamma b = 5 and Gamma a * Va = -2 Gamma b * Vb. The user seeks a quick method to isolate and solve for either gamma a or gamma b. The urgency in the request indicates a need for efficient problem-solving strategies in special relativity. The thread highlights the complexities of applying conservation laws in relativistic contexts.
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Homework Statement



Ok so I am solving a SR problem...using conservation of energy and momentum I've got to:

Gamma a + 2 Gamma b = 5

And Gamma a * Va = -2 Gamma b * Vb

where gamma is the usual gamma in SR! a and b are labels for 2 particles..

Just need a quick way to solve to find either gamma a or b..

thanks!

Homework Equations





The Attempt at a Solution

 
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