An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest atthe origin of a coordinate system, disintegrates into threeparticles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s.Another particle, of mass m2 = 7.0 ✕ 10−27 kg, moves in thepositive x-direction with speed v2 = 3.6 ✕ 106 m/s. Find themagnitude and direction of the velocity of the third particle.(Assume that the +x-axis is to the right and the +y-axis is upalong the page.)
