An object located at the origin and having mass M explodes into three pieces having masses M/6, M/3, and M/2. The pieces scatter on a horizontal friction-less xy-plane. The piece with mass M/6 flies away with velocity of 4.6 m/s at 37 degree above the x-axis. The piece with mass M/3 has velocity of 3.1 m/s directed at an angle of 45 degree above the -x-axis.
(a) What are the velocity components of the third piece?
(b) Describe the motion of the CM (center of mass) of the system after the explosion.