An unstable atomic nucleus of mass 1.74 10-26 kg initially at rest disintegrates into three particles. One of the particles, of mass 5.14 10-27 kg, moves along the y axis with a speed of 6.00 106 m/s. Another particle, of mass 8.46 10-27 kg, moves along the x axis with a speed of 4.00 106 m/s. (a) Find the velocity of the third particle. ( i hat + j) (b) Find the total kinetic energy increase in the process.