(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The K^{o}meson is a subatomic particle of rest mass M_{K}= 498 MeV/c^{2}that decays into two charged pions, K^{o}[tex]\rightarrow[/tex] [tex]\pi[/tex]positive+ [tex]\pi[/tex]negative. Both pions have the same mass, m_{[tex]\pi[/tex]}= 140 Mev/c^{2}. A K^{o}at rest decays into two pions. Use conservation of energy and momentum to find the energies, momenta and speeds of the two pions. (Give algebraic answers, in terms of the symbols M_{K}and m_{[tex]\pi[/tex]}. Then plug in numbers.)

2. Relevant equations

Total E = Mc^{2}

Mc^{2}= (K_{1}+ K_{2}) + (m_{1}+ m_{2})*c^{2}

[tex]\Delta[/tex]M = M - (m_{1}+ m_{2})

[tex]\Delta[/tex]Mc^{2}= K_{1}+ K_{2}

3. The attempt at a solution

I don't know how to find the energies of the two pions. The back of the book says 249 MeV. M_{K}/2 = 249 MeV but I don't know why. I'm not sure how they got that answer. Any help would be appreciated. Thanks!

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# Homework Help: Meson Decay in Relativistic Mechanics

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