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Homework Statement
"In frame of reference S, an electron moving along the x-axis has
energy 3mc2 and momentum magnitude √(8)mc
Use the transformations of energy and momentum to find the energy and momentum magnitude observed in
frame S′ moving with speed 4c/5 relative to S in the positive x-direction."
Homework Equations
How can the electron have a proper velocity of c?
If relativistic velocity is dx/dτ = γdx/dt, and relativistic momentum is simply the mass time the relativistic velocity, how is m(γ(dx/dt)) = √8mc?
The Attempt at a Solution
I solved the problem correctly, I am just unsure of a detail in the wording of the problem.