An unstable atomic nucleus of mass 1.60 10-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.02 10-27 kg, moves in the y direction with a speed of 6.00 106 m/s. Another particle, of mass 8.46 10-27 kg, moves in the x direction with a speed of 4.00 106 m/s.
(a) Find the velocity of the third particle.
(b) Find the total kinetic energy increase in the process.