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khfrekek92
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Homework Statement
The electron is traveling at a speed of β=.9999999, γ=1957, with mass mc^2=.51099 MeV.
The Proton is traveling at a speed of β=.9, γ=2.29, with mass mc^2=938.27 MeV.
They are heading in opposite directions, directly towards each other on the x-axis
Find the reference frame where their momenta are equivalent, and find the total energy in the frame, and the total kinetic energy.
Homework Equations
see below
The Attempt at a Solution
I'm not exactly sure if I'm going about this right but I have started a lorentz transform with the momentum 4-vectors of both the electron and proton. Then I took the second component of the resultant vectors which would be equal to γp, then I set them equal to each other and tried to solve for a velocity. Am I going about his right? All the work is shown in the attached jpeg.