The carbon isotope 14C is used for carbon dating of archeological artifacts. 14C (mass 2.34 * 10-26 kg) decays by the process known as beta decay in which the nucleus emits an electron (the beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted at right angles to each other. The electron (mass 9.11 * 10-31 kg) has a speed of 5.00 * 107 m/s and the neutrino has a momentum of 8.00 * 10-24 kg # m/s. What is the recoil speed of the nucleus?
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