Ah, sorry I should've checked my work more thoroughly. Turns out I forgot to subtract 1 from the gamma factor even though I had the correct equation. Thank you for the explanation!
Homework Statement
A proton has a kinetic energy of 1000 MeV. In which of the following ranges does its speed v lie?
a) v < 0.80c
b) 0.80c ≤ v < 0.85c
c) 0.85c ≤ v < 0.90c
d) 0.90c ≤ v < 0.95c
e) v ≥ 0.95c
Homework Equations
K = (γ-1)mc^2
E0 = mc^2
E^2 = K + E0
The Attempt at a Solution
I...