Find Final Speed of 5MeV Protons in m/s

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SUMMARY

The discussion centers on calculating the final speed of 5MeV protons released from a Van de Graaff accelerator at a potential of 20MV. The relevant equation is derived from energy principles, specifically using the relationship between kinetic energy and potential energy, expressed as eV = U = -0.5mv². The confusion arises from the potential difference and the energy of the protons, with participants clarifying that the protons gain 5MeV of kinetic energy, not 20MeV, due to the specifics of the problem setup.

PREREQUISITES
  • Understanding of kinetic energy and potential energy concepts
  • Familiarity with the Van de Graaff accelerator and its operation
  • Knowledge of the relationship between electron volts (eV) and joules
  • Basic principles of particle physics, particularly regarding protons
NEXT STEPS
  • Study the conversion of electron volts to joules for practical applications
  • Learn about the workings of the Van de Graaff accelerator and its energy outputs
  • Explore the implications of potential differences on charged particles
  • Investigate the equations of motion for particles in electric fields
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in particle physics or accelerator technology, particularly those seeking to understand energy transformations in charged particles.

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Homework Statement



Protons from a Van de Graaff accelerator are released from rest at a potential of 20MV and travel through a vacuum to a region of 0 potential.
Charge of electron is 1.6x10^-19C and mass of electron is 1.67x10^-27kg
Find the final speed of the 5MeV protons
Answer in units of m/s

Homework Equations



eV=U=-.5mv^2
maybe some others. I am not sure

The Attempt at a Solution



To be honest I have no idea where to even start. I am not sure why they give me info on electrons then ask about protons. I just need a starting point

Thanks for any help
 
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I think they simply screwed up and meant to give you the data on protons. It's also interesting why traveling through a 20MV potential difference would give the protons 5MeV. Shouldn't it be 20MeV?
 
Yeah i talked to my teacher to day and she said it was a screw up.
Thanks though
 

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