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An unstable nucleus with a mass of 19.0 10-27 kg initially at rest disintegrates into three particles. One of the particles, of mass 4.1 10-27 kg, moves along the positive y-axis with a speed of 9.0 106 m/s. Another particle, of mass 7.5 10-27 kg, moves along the positive x-axis with a speed of 1.0 106 m/s. (Assume that mass is conserved.)

(a) Determine the third particle's speed.

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