A uniform, 4.5 kg, square, solid wooden gate 2.0 m on each side hangs vertically from a frictionless pivot at the center of its upper edge. A 1.2 kg raven flying horizontally at 4.5 m/s flies into this door at its center and bounces back at 1.5 m/s in the opposite direction. What is the angular speed of the gate just after it is struck by the unfortunate raven?

Explanation:

Mass of the gate,

Mass of the raven,

Initial speed of raven,

Final speed of raven,

Moment of Inertia of the gate about the axis passing through one end:

Angular momentum of the gate,

Using the law of conservation of angular momentum:

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