A uniform, 4.5-kg, square, solid wooden gate 1.5 m on each side hangs vertically from a frictionless pivot at the center of its upper edge. A 1.1-kg raven flying horizontally at 5.0 m/s flies into this door at its center and bounces back at 2.0 m/s in the opposite direction. (a) What is the angular speed of the gate just after it is struck by the unfortunate raven?

(II) A uniform stick 1.0 m long with a total mass of 270 g is pivoted at its center. A 3.5-g bullet is shot through the stick midway between the pivot and one end (Fig. 11–37). The bullet approaches at 250 m/s and leaves at 140 m/s. With what angular speed is the stick spinning after the collision?

<IMAGE>

(II) Suppose a 5.2 x 10¹⁰kg meteorite struck the Earth at the equator with a speed v = 2.2 x 10⁴ m/s , as shown in Fig. 11–38 and remained stuck. By what factor would this affect the rotational frequency of the Earth (1 rev/day)?

<IMAGE>

(II) A potter’s wheel is rotating around a vertical axis through its center at a frequency of 1.5 rev/s . The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.40 m. The potter then throws a 2.8-kg chunk of clay, approximately shaped as a flat disk of radius 8.0 cm, onto the center of the rotating wheel. What is the frequency of the wheel after the clay sticks to it?

(II) A uniform stick 1.0 m long with a total mass of 270 g is pivoted at its center. A 3.5-g bullet is shot through the stick midway between the pivot and one end (Fig. 11–37). The bullet approaches at 250 m/s and leaves at 140 m/s. With what angular speed is the stick spinning after the collision?

<IMAGE>