How Does the Lambda Zero Particle Decay Affect Kinetic Energy and Momentum?

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SUMMARY

The discussion focuses on the decay of the lambda zero particle into two other particles, specifically a pion (π-) and a proton (p). The masses are given as m(lambda zero) = 2183.3 me, m(1) = 273.2 me, and m(2) = 1836.2 me, where me = 9.11E-31 kg. The kinetic energy is calculated using the mass loss via E=mc2, and the momentum and kinetic energy of the resulting particles must be determined using the equations K=0.5mv2 and p=mv, applying conservation of momentum and energy principles.

PREREQUISITES
  • Understanding of subatomic particle physics
  • Familiarity with Einstein's mass-energy equivalence (E=mc2)
  • Knowledge of kinetic energy and momentum equations (K=0.5mv2, p=mv)
  • Concept of conservation of momentum and energy in particle decay
NEXT STEPS
  • Calculate the kinetic energy of the decay products using E=mc2 and conservation of energy
  • Determine the momentum of the decay products using p=mv
  • Explore the implications of particle decay on kinetic energy distribution
  • Review examples of similar particle decay processes for comparative analysis
USEFUL FOR

Physics students, particle physicists, and educators seeking to understand particle decay processes and their effects on kinetic energy and momentum.

Fusilli_Jerry89
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Homework Statement


a subatomic particle called lambda zero decas spontaneously at rest into 2 other particles. Their masses are m(lambda zero) = 2183.3 me, m(1) = 273.2 me, m(2) = 1836.2 me, where me = 9.11E-31.
a) How muchkinetic energy in this process by loss of mass?

b) What is the momentum and kinetic energy of (1) and of (2)?

Homework Equations


K=0.5mv^2
p=mv

The Attempt at a Solution



a) How muchkinetic energy in this process by loss of mass?

All I did was use E=mc^2. I found the amount of mass missing, and multiplied it by the speed of light squared.

b) What is the momentum and kinetic energy of (1) and of (2)?

No idea how to do this?

I know that my answer for (a) equals the kinetic energies of the 2 particles added together. I'm lost from here...
 
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