A 1.3 m wide door (mass 2.5 kg) is hinged at one side so that it can rotate without friction about a vertical axis. It is unlatched. A police officer fires a bullet with a mass of 70 g and a speed of 290 m/s into the exact center of the door, in a direction perpendicular to the plane of the door. Find the angular speed of the door just after the collision if the bullet embeds itself in the door. The moment of inertia of a door rotating about its edge is equal to MW² where M is the mass of the door and W is its width. Before After W W

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A 1.3 m wide door (mass 2.5 kg) is hinged at one side so that it can rotate
without friction about a vertical axis. It is unlatched. A police officer fires a
bullet with a mass of 70 g and a speed of 290 m/s into the exact center of the
door, in a direction perpendicular to the plane of the door. Find the angular
speed of the door just after the collision if the bullet embeds itself in the door.
The moment of inertia of a door rotating about its edge is equal to MW2
where M is the mass of the door and W is its width.
Before
After
ть уь
W
W
Transcribed Image Text:A 1.3 m wide door (mass 2.5 kg) is hinged at one side so that it can rotate without friction about a vertical axis. It is unlatched. A police officer fires a bullet with a mass of 70 g and a speed of 290 m/s into the exact center of the door, in a direction perpendicular to the plane of the door. Find the angular speed of the door just after the collision if the bullet embeds itself in the door. The moment of inertia of a door rotating about its edge is equal to MW2 where M is the mass of the door and W is its width. Before After ть уь W W
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