You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a mass of 10.7 kg and is 1.25 m wide, and the 10 g bullet, traveling at 420. m/s, hits the door at the edge opposite the hinges. The bullet stops inside the door, which then swings open. What is the angular velocity of the door just after the bullet hits it?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 17PQ: Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described...
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You're feeling particularly lazy and decide to open a door by firing a bullet at it. The door has a mass of 10.7 kg and is 1.25 m wide, and the 10 g bullet, traveling at 420. m/s, hits the door at the edge opposite the hinges. The bullet stops inside the door, which then swings open.

What is the angular velocity of the door just after the bullet hits it?

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