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## Homework Statement

An electron accelerated from rest through a potential difference V acquires a

speed of 0.8c. Find the value of V.

## Homework Equations

E=(gamma)mc^2, E=Vq

## 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