A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-29 m/s) and a second piece, also of mass m, moves with velocity (-29 m/s) . The third piece has mass 3m. Just after the explosion, what are the (a) magnitude and (b) direction (as an angle relative to the +x axis) of the velocity of the third piece?

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Answer with Explanation:We are given that

a.Initial velocity of vessel,u=0

According to law of conservation of momentum

Where M=Mass of vessel

m/s

Magnitude,

b.

Hence, direction of the velocity of third piece=

45 degree