Find Mass and Velocity of Proton with 500V Acceleration

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SUMMARY

The discussion focuses on calculating the mass and velocity of a proton accelerated through a potential difference of 500 V. The energy gained by the proton is determined to be 8 x 10-17 J using the formula V*q = E. The user initially attempted to apply Einstein's mass-energy equivalence E = mc2 and the relativistic energy equation E = mc2/sqrt(1-v2/c2), but did not achieve the correct results. The correct approach involves using the kinetic energy formula derived from the potential difference directly.

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  • Familiarity with the formula V*q = E for calculating energy from voltage and charge.
  • Knowledge of Einstein's mass-energy equivalence E = mc2.
  • Basic understanding of relativistic effects on mass and energy.
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  • Explore the implications of relativistic physics on particle acceleration.
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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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