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An unstable nucleus with a mass of 18.0 10-27 kg initially at rest disintegrates into three particles. One of the particles, of mass 4.0 10-27 kg, moves along the positive y-axis with a speed of 6.0 106 m/s. Another particle, of mass 7.4 10-27 kg, moves along the positive x-axis with a speed of 4.0 106 m/s. (Assume that mass is conserved.)

(a) Determine the third particle's speed.
1 m/s

(b) What is the direction of motion?
2° (from the positive x-axis)

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