A bullet of momentum \( p \) is fired into a door and gets embedded exactly at the center of the door. The door is \( 1.0 \, \text{m} \) wide and weighs \( 12 \, \text{kg} \). It is hinged at one end and rotates about a vertical axis practically without friction. The angular speed of the door just after the bullet embeds into it is:
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In collision problems involving rotation about a hinge, conserve angular momentum about the hinge because impulsive hinge force has zero torque about the hinge.