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An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of...

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 = 2.6 ✕ 10−27 kg,
moves in the positive y-direction with speed
v1 = 5.4 ✕ 106 m/s.
Another particle, of mass
m2 = 8.0 ✕ 10−27 kg,
moves in the positive x-direction with speed
v2 = 3.4 ✕ 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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