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319. assignment (torque and angular acceleration)

[9 pts]: As a younger sister many moons ago, you were being chased by your older brother who was seeing red because you "accidentally" put a hole in his brand new soccer ball. You ran into the bathroom to escape his vengeance and tried to shut the door before he followed you in. The 2.50 m-tall, 1.10 m-wide door was initially open by 90°. The door weighed 625 N and at the time you could apply a 160 N form at the edge of the door and perpendicular to it throughout its motion. How much of a headstart (in time) did you need in order to shut the door before your angry sibling came charging into the bathroom?

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