An electron and a proton are each accelerated through a potential difference of 10MV. find the momentum in MeV/c and the kinetic energy in MeV of each using relativistic formulae and compare with the results of using the classical formulae. Are the particles moving at relativistic speed?
Rest energy of electron is 0.511MeV
Rest energy of proton is 938MeV
The Attempt at a Solution
i have found the momentum of the electron to be 10.5Mev/c by p=1/c sqr(((10+.511)^2)-(0.511)^2). And i believe that the kinetic energy of the electron is 10MeV.
The problem arises when i try to calculate the classical momentum and compare it to the relativistic. I think once shown how to do that i can apply it to the proton. But this question has had me going around in circles for quite some time.
I appreciate the help anyone can give me.