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tony2012 tony2012
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11 years ago
The collisions of cosmic-ray particles with the Earth's atmosphere often produce muons that subsequently decay into an electron and two neutrinos according to the reaction
?^?    ?    e^? + v? + ve.
What is the maximum possible kinetic energy of the electron? Assume the muon is at rest just before it decays and the masses of the neutrinos are negligible.
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wrote...
11 years ago
E=mc^2
E(Mproduct - Mreactant)c^2

muon: 105.7MeV/c^2
electron: 0.511MeV/c^2
E = (0.511MeV ? 105.7MeV) = ?105.189MeV

The negative just shows that the reaction will proceed as shown. So we know 105.189MeV of energy is given to the electron as kinetic energy.
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