University Level Relativity: Relatavistic Decau Homework

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SUMMARY

The discussion focuses on a university-level relativity homework problem involving the calculation of momentum and energy for a pion and a massless particle. The user applies the relativistic momentum formula, using gamma factors and mass-energy equivalence, but arrives at an incorrect energy value of 103.75 MeV instead of the expected 110 MeV. The correct approach involves understanding the relationship between momentum and energy in relativistic contexts, particularly for massless particles, leading to the conclusion that the energy can be derived from the equation involving the pion mass and the mass of the other particle.

PREREQUISITES
  • Understanding of special relativity concepts, including gamma factor
  • Familiarity with relativistic momentum and energy equations
  • Knowledge of mass-energy equivalence (E=mc²)
  • Basic skills in algebra and calculus for manipulating equations
NEXT STEPS
  • Study the derivation of the gamma factor in special relativity
  • Learn about the conservation of momentum and energy in relativistic collisions
  • Explore the properties of massless particles and their energy-momentum relationship
  • Practice solving problems involving relativistic energy calculations
USEFUL FOR

This discussion is beneficial for physics students, particularly those studying special relativity, as well as educators and tutors looking to clarify concepts related to relativistic momentum and energy calculations.

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Homework Statement


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University level question on relativity


Homework Equations





The Attempt at a Solution



momentum before is gamma*pionmass*0.93c
momentum after is gamma(u)*mass(u)*velocity(u) - E/c where E=pc which is the energy of massless particles

energy before is gamma*pionmass*c*c
energy after is gamma*mass(u)*c*c + pc

just wondering if what I've done above is correct as I've tried to do it that way and i get a really ridiculous answer. Any help is appreciated
 
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the answer is (masspion)^2 + (mass(u)^2)/ 2(masspion).. anyone know how they got to that, its 110 MeV, after some extreme calculation i got 103.75 MeV but i don't know how they got it simply by doing a simple calculation as above
 

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