A uniform square solid wooden gate of 4.00 kg and 2.00 m on each side suspends vertically from a frictionless pivot at the center of the upper edge. A raven of 1.30 kg flying horizontally at 5.00 m\s flies into this door at its center and bounces back at 2.50 m/s in the opposite direction.
Determine the angular speed of the gate just after it is strike by the adverse raven?