A 1.7 m wide door (mass 4.0 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 80 g and a speed of 450 m/s into the edge 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 W

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A 1.7 m wide door (mass 4.0 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 80 g and a speed of 450 m/s into the edge 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
W
W
Transcribed Image Text:A 1.7 m wide door (mass 4.0 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 80 g and a speed of 450 m/s into the edge 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 W W
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