A 3-kg bomb slides along a frictionless horizontal plane in the x direction at 6 m/s. It

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A 3-kg bomb slides along a frictionless horizontal plane in the x direction at 6 m/s. It explodes into two pieces, one of mass 2 kg and the other of mass 1 kg. The 1-kg piece moves along the horizontal plane in the y direction at 4 m/s.

(a) Find the velocity of the 2-kg piece.

(b) What is the velocity of the center of mass after the explosion?

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