An unstable atomic nucleus of mass 1.79 10-26 kg initially at rest explodes into three particles (see the figure below). One of the particles, of mass 5.13 10-27 kg, moves in the y-direction with a speed of 6.00 106 m/s. Another particle, of mass 8.49 10-27 kg, moves in the x-direction with a speed of 4.00 106 m/s. What is the velocity of the third particle (magnitude in m/s and the counterclockwise direction with respect to the +X direction)? What is the total kinetic energy in pJ increase in the process?

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