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

A lambda hyperon [tex]\Lambda^{0}[/tex] (mass = 1115.7 MeV/c^2) at rest in the lab frame decays into a neutron [tex]n[/tex] (mass = 939.6 MeV/c^2) and a pion [tex]\pi^{0}[/tex]: [tex]\Lambda^{0} \rightarrow n + \pi^{0}[/tex]

What are the kinetic energies (in the lab frame) of the neutron and pion after the decay?

2. Relevant equations

[tex] KE = m c^{2} - m_{0} c^{2} = m_{0} c^{2} (\gamma - 1)[/tex]

Conservation of Momentum: [tex] p_{n} = - p_{\pi} [/tex]

[tex] p = \gamma m v [/tex]

3. The attempt at a solution

Using the relevant equations, there are two equations and two unknowns ([tex]v_{n}[/tex] and [tex]v_{\pi}[/tex]). However, all my algebra attempts failed here. Any ideas? Is the above what I should be starting with?

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# Homework Help: Kinetic energies of particle decay

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