An object located at the origin and having mass M explodes into three pieces having masses M /4, M /3, and 5 M /12. The pieces scatter on a horizontal frictionless xy -plane. The piece with mass M /4 flies away with velocity 5.0 m/s at 37° above the x -axis. The piece with mass M /3 has velocity 4.0 m/s directed at an angle of 45° above the − x -axis.
(a) What are the velocity components of the third piece?
(b) Describe the motion of the cm of the system after the explosion.