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An object located at the origin at rest ...

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 ?

Text Solution

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The correct Answer is:
`-0.13 ms^(-1), -4.0 ms^(-1)`; CM remains at rest
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