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An unstable atomic nucleus of mass 1.62x^10-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.02x10^-27 kg, moves in the y direction with a speed of 6.00x10^6 m/s. Another particle, of mass 8.44x10^-27 kg, moves in the x direction with a speed of 4.00x10^6 m/s.

(a) Find the velocity of the third particle.
________i + ______j

m/s

(b) Find the total kinetic energy increase in the process.
J

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