Find Mass and Velocity of Proton with 500V Acceleration

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To find the mass and velocity of a proton accelerated through a potential difference of 500 V, the energy gained by the proton is calculated as 8 x 10^(-17) J. The discussion highlights confusion regarding the application of Einstein's mass-energy equivalence formula, E = mc^2, and its relativistic form. The correct approach involves using kinetic energy equations rather than directly applying mass-energy relations. The participants emphasize the need to apply classical mechanics for non-relativistic speeds, simplifying calculations for mass and velocity. Ultimately, the focus remains on accurately determining these values based on the energy derived from the potential difference.
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A proton is accelrated from rest through a potential diff of 500 V. Find the mass and velocity...


I know that V*q = E therefore 8x10^(-17) J is the energy... but I don't know what to do after that, I've tried getting the mass via E = mc^2 and then using that mass in E = mc^2/sqrt(1-v2/c2) but that has not yielded the correct answers.
 
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n/m got it
 
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