Aradioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. the electron and neutrino are emitted at right angles and have momenta of 9.80 ✕ 10-23 kg·m/s, and 5.70 ✕ 10-23 kg·m/s, respectively. what is the magnitude and direction of the momentum of the second (recoiling) nucleus?

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.