Wile. E. Cayote runs full-speed into a bank vault just as the door is closing. He collides with the exact center of the heavy door bringing both it and himself to a complete stop. Wile E.'s mass is 35.0 kg, his speed before the collision was 7.00 m/s, the door is 1.40 m wide, and its moment of inertia is 1400 kgm^2. What was the doors angular speed right before the collision?