A radioactive 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 9.90×10−23 kg⋅m/s and, 6.85×10−23 kg⋅m/s respectively.
a. Determine the magnitude of the momentum of the second (recoiling) nucleus.
b. Determine the direction of the momentum of the second (recoiling) nucleus. Assume that the neutrino and the electron move along −x and −y axes respectively.