Velocity and momemtum of 10 Mev Electron

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SUMMARY

The discussion focuses on calculating the velocity and momentum of an electron with a rest mass of 0.511 MeV and a kinetic energy of 10.0 MeV. The initial attempt using the formula for momentum, sqrt(2KEm), resulted in an invalid velocity exceeding the speed of light. The correct approach involves using the energy-momentum relation, Rest E + KE = sqrt(m²c⁴ - p²c²), which led to complications with negative roots. Ultimately, the participant resolved the issue independently.

PREREQUISITES
  • Understanding of relativistic physics concepts
  • Familiarity with the energy-momentum relation
  • Knowledge of electron properties, specifically mass-energy equivalence
  • Basic proficiency in algebra and square root calculations
NEXT STEPS
  • Study the relativistic momentum formula: p = γmv
  • Learn about the Lorentz factor (γ) and its application in relativistic calculations
  • Explore the implications of kinetic energy in relativistic contexts
  • Investigate the concept of invariant mass in particle physics
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Students and educators in physics, particularly those focusing on particle physics and relativistic mechanics, will benefit from this discussion.

madjens
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Homework Statement



Find the velocit y and momentum of an electron (rest mass of 0.511MeV) with a
kinet ic energy of 10.0 MeV.

The Attempt at a Solution



The momentum I calculate using sqrt(2KEm) is giving me a V larger than the speed of light. This can't be true.

If I try
Rest E + KE = sqrt (m2c4 - p2c2) it gives me a negative root.
 
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Nevermind, I figured it out.
 

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