I keep coming up with the wrong answer for (d) and I am not sure why. I would ap

Question

I keep coming up with the wrong answer for (d) and I am not sure why. I would appreciate an explanation on how to solve this part.

The rest energy of an electron is 0.511 MeV. The rest energy of a proton is 938 MeV. Assume both particles have kinetic energies of 2.00 MeV. (a) Find the speed of the electron.
c

(b) Find the speed of the proton.
c

(c) By how much does the speed of the electron exceed that of the proton?
c

(d) Repeat the calculations assuming both particles have kinetic energies of 1600 MeV.

Explanation / Answer

d)

given for electron

Kinetic energy= 0.5mev2 =1600 x 10^6 eV

=> v = 2.372e10 m/s

for proton

Kinetic energy =0.5mpv^2 = 1600 x 10^6 eV

=> v = 5.534e8 m/s

exceeded speed = 2.317e10

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