(Solution) - A radioactive nucleus is at rest when it spontaneously decays -(2025 Original AI-Free Solution)

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A radioactive nucleus is at rest when it spontaneously decays by emitting an electron and neutrino. The momentum of the electron is 8.20 × 10?19 kg·m/s and it is directed at right angles to that of the neutrino. The neutrino's momentum has magnitude 5.00 × 10 ? 19 kg·m/s.
(a) In what direction does the newly formed (daughter) nucleus recoil?
(b) What is its momentum?