Momentum and kinetic energy through potential difference

[itsdanfreas]

An electron and a proton are each accelerated through a potential difference of 10 million volts. find the momentum (in MeV/c) and the kinetic energy (in MeV) of each.

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I started by finding the masses of the proton and electron in MeV/c^2, but i don't know where to go from there.

I believe i need to find the velocities...but I'm not sure how to get the velocity just by looking at the potential difference.

Thanks!

 

[tiny-tim]

Welcome to PF!

An electron and a proton are each accelerated through a potential difference of 10 million volts. find the momentum (in MeV/c) and the kinetic energy (in MeV) of each.
…
I believe i need to find the velocities...but I'm not sure how to get the velocity just by looking at the potential difference.

Hi itsdanfreas! Welcome to PF!

Learn your electric units …

voltage = energy per charge = joules per coulomb ​