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an object located at the origin and having a mass M explodes into three pieces having masses M/4, M/3, and 5M/12. The pieces scatter on a horizontal frictionless xy-plane. The piece with the mass M/4 flies away with velocity 5.0 m/s at 37deg above the x-axis. The piece with mass M/3 has velocity 4.0 m/s directed at an angle of 45deg 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?

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