Particle Accelerator Problem, proton -> electron positron

AI Thread Summary
The discussion revolves around calculating the energy involved in a particle accelerator process where a proton produces an electron and a positron. The user has derived the energy of the photons using the formula E = 2hc/lambda and is attempting to calculate the energy of the electron and positron using E = 2mc^2/sqrt(1 - (.9999995c/c)^2). The key focus is on applying the principle of energy conservation, where the energy input must equal the energy output. The user is seeking guidance on the next steps to solve the problem. The conversation emphasizes the importance of understanding energy transformations in particle physics.
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Particle Accelerator Problem, proton --> electron positron

He guys, I could use some help on this problem.

[PLAIN]http://img31.imageshack.us/img31/2039/physhw.jpg


I got the energy of the photons:

E = 2hc/lambda

Energy of the electron and positron I believe are:

E = 2mc^2/sqrt(1 - (.9999995c/c)^2)

Where do I go from here?
 
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energy in equals energy out, my friend.
 

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