The neutron (n) is an unstable particle (decaying as n - pe ve) with an "average" lifetime of tn 882s, i. e., its abundance decreases as n(t)no exp(-t/tm) after initial production. suppose n's are produced on mars (for example, by a nuclear reactor) emitted in the direction of earth, 55 106 km away. (a) if the neutron is produced at a speed of 0.1c, how much time will pass in: (i) the earth-mars rest system (i) the neutron's rest system? (b) what percentage, p(t)-n(t)/no, of neutrons makes it to earth: (i) with; or (ii) without the effect of special realtivity? (c) repeat parts (a) and (b) for an initial speed of 0.5c.