A 12 g bullet travelling at 420 ms is fired into the middle, Physics

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A 12 g bullet travelling at 420 ms is fired into the middle

A 12 g bullet travelling at 420 m/s is fired into the middle an unlatched 32.0 kg door. The door in hinged on one end, is 1.20 m wide and has I = 1/3 Md2. The bullet hits the middle of the door. What is the angular speed of the door just after the bullet is imbedded in ti? Calculate whether the kinetic energy conserved.

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