A neutron is an electrically neutral subatomic particle with a mass just slightly greater than that of a proton. A free neutron is radioactive and decays after a few minutes into other subatomic particles. In one experiment, a neutron at rest was observed to decay into a proton (mass 1.67 × 10^-27 kg) and an electron (mass 9.11 × 10^-31 kg). The proton and electron were shot out back-to-back. The proton speed was measured to be 1.0 ×10⁵ m/s and the electron speed was 3.0 × 10⁷ m/s. No other decay products were detected.
a. Did momentum seem to be conserved in the decay of this neutron?

b. If a neutrino was emitted in the above neutron decay, in which direction did it travel? Explain your reasoning.
c. How much momentum did this neutrino “carry away” with it?