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In a shooting field where noone can get hurt, there is a vertical square plastic board,...

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Physics

In a shooting field where noone can get hurt, there is avertical square plastic board, 0.100 m on a side and with mass0.800 kg , that rotates on a horizontal axis along its top edge.The center of the plastic board is hit by a bullet with mass 1.50 gthat is moving with 300 m/s and that stays embedded in the plasticboard.

a)Find the angular velocity of the plastic board right after thebullet's hit?

b)Calculate the maximum height above the equilibrium positiondoes the center of the plastic board reach before starting to goback down again?

c)Find the minimum bullet velocity which would be required forthe plastic board to swing all the way over after impact?

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