Max Energy of Electron After Collision with Particle: 5.0 MeV Alpha

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SUMMARY

The discussion focuses on calculating the maximum energy of an electron after a collision with a nonrelativistic particle, specifically a 5.0 MeV alpha particle. The derived formula for the maximum energy of the electron is E0(4m/M), where E0 is the initial kinetic energy of the alpha particle, m is the mass of the electron, and M is the mass of the alpha particle. Participants emphasize the importance of using the kinetic energy equation E = 1/2 m V² and the principle of conservation of momentum to solve the problem effectively.

PREREQUISITES
  • Understanding of kinetic energy equations, specifically E = 1/2 m V²
  • Familiarity with conservation of momentum principles
  • Basic knowledge of particle physics, including mass relationships
  • Ability to manipulate algebraic equations for problem-solving
NEXT STEPS
  • Study the derivation of energy transfer in elastic collisions
  • Learn about relativistic effects in particle collisions for advanced scenarios
  • Explore the concept of momentum conservation in two-body collisions
  • Investigate the properties of alpha particles and their interactions with electrons
USEFUL FOR

Students in introductory physics courses, educators teaching collision dynamics, and anyone interested in particle interactions and energy transfer in collisions.

Zit501
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Homework Statement



A particle (nonrelativistic) of mass M and with kinetic energy E0 collides with an
electron at rest of mass m. Show from elementary considerations (i.e. rst year
physics) that the maximum energy of the electron after the collision is E0(4m/M).
Determine this energy for a 5.0 MeV alpha particle.


Homework Equations



E = 1/2 m V2

Pin = Pout


The Attempt at a Solution



I made v the subject of the formula in the kinetic energy equation. Then subbing this into the momentum equation just seems like a big mess. Where else should I start? or am I on the right track?

Thanks!
 
Physics news on Phys.org
Hi Zit501! :wink:
Zit501 said:
I made v the subject of the formula in the kinetic energy equation. Then subbing this into the momentum equation just seems like a big mess. Where else should I start? or am I on the right track?

Should work …

show us what equations you get :smile:​
 

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