An electron accelerated from rest through a potential difference V acquires a
speed of 0.8c. Find the value of V.
The Attempt at a Solution
For this I related the two equations above and chose a value of m=0.5MeV for the electron and found the value of gamma=1.6667, since I did this in electron volts I cancelled out the c^2 and charge of the electron from the resulting equation and got something looking like this: V=(gamma)mc^2/q=1.667*0.5MeV=8.33e5 V
I wanted to get a confirmation if this was the correct way to approach this problem, I do not know if this answer is or isn't correct.
Thank you for your help