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A door 1.0 m wide, having …

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A door 1.0 m wide, having a mass of 15 Kg, is hinged at one side so that it can rotate without friction about a vertical axis. A bullet having mass 10g and speed 400 ms-1 is fired into the door in a direction perpendicular to the plane of the door and imbeds itself at the exact centre of the door. Find the angular velocity of the door just after the bullet imbeds itself. Is Kinetic energy conserved?
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