An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.2 ✕ 106 m/s.Another particle, of mass m2 = 9.0 ✕ 10−27 kg,moves in the positive x-direction with speed v2 = 3.0 ✕ 106 m/s.Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)

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