Example 7 An Unstable Nucleus Of Mass 1710 27 Kg Initially At Rest Disintegrates

Example 7An unstable nucleus of mass 17×10-27 kg, initially at rest, disintegrates into three particles. One of the particles has a massof 5.0×10-27 kg and moves along the positive y axis with a speed of 6.0×106 m/s. Another particle has a mass of 8.4×10-27kg and moves along the positive x axis with a speed of 4.0×106 m/s. Determine the third particle’s velocity (for now, youmay assume that mass is also conserved in the disintegration process).