A particle of mass \(m_{\text {orig }}\), initially at rest in the Earth reference frame, decays into two particles 1 and 2 that have masses \(m_{1}\) and \(m_{2}\), respectively. Use conservation of energy, conservation of momentum, and Eq. 14. 57, \(E^{2}-\left(c_{0} p\right)^{2}=\left(m c_{0}^{2}\right)^{2}\), to calculate the energy and momentum magnitude of particle 1 in the Earth reference frame in terms of \(m_{\text {orig }}, m_{1}, m_{2}\), and \(c_{0}\).

Data from Eq. 14. 57

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E - (cop) = (mc).