An unstable atomic nucleus of mass 17.0 X 10─27 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.00 X 10─27 kg, moves along the y axis with a speed of 6.00 X 106 m/s. Another particle, of mass 8.40 X 10─27 kg, moves along the x axis with a speed of 4.00 X 106 m/s. Find
(a) The velocity of the third particle and
(b) The total kinetic energy increase in the process.