An object located at the origin at rest has mass M. It explodes into three pieces having masses M/4, M/3 and 5M/12. The pieces move on a horizontal frictionless plane (call it x-y plane). The fragment with mass M/4 moves with velocity 5.0 ms^(-1)at 37° to the x-axis. The fragment of mass M/3 moves wifh velocity 4.0 ms^(-1)in the direction making an angle 45° to the x-axis. a) What are the velocitity components of the third piece ? b) What can be said about the motion of centre of mass of the system after tile explosion ?

An object located at the origin at rest has mass M. It explodes into t

1.	An object located at the origin at rest has mass M. It explodes into three pieces having masses M/4, M/3 and 5M/12. The pieces move on a horizontal frictionless plane (call it x-y plane). The fragment with mass M/4 moves with velocity 5.0 ms^(-1)at 37° to the x-axis. The fragment of mass M/3 moves wifh velocity 4.0 ms^(-1)in the direction making an angle 45° to the x-axis. a) What are the velocitity components of the third piece ? b) What can be said about the motion of centre of mass of the system after tile explosion ?
Answer» Answer :`-0.13 MS^(-1), -4.0 ms^(-1)`; CM remains at rest