A uniform wooden rod (M = 6.0 kg, l = 2.0 m) is suspended from its end and is free to spin in a vertical plane about point O, as shown. A 10 g bullet traveling at 1000 m/s perpendicular to the rod strikes the other end of the rod and embeds itself in it. a. Find the kinetic energy of the system right after the collision. b. Find the maximum deflection angle of the rod after the collision.

A 0.00600 kg bullet traveling horizontally with speed 1.00  103 m/s strikes a 16.0 kg door, embedding itself 11.9 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges.   Imagine that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the maximum height (in cm) that the bottom of the door will reach after the collision?

A knife thrower throws a knife toward a 300 g target that is sliding in her direction at a speed of 2.30 m/s on a horizontal frictionless surface. She throws a 22.5 g knife at the target with a speed of 38.0 m/s. The target is stopped by the impact and the knife passes through the target. Determine the speed of the knife (in m/s) after passing through the target.

A 0.01 kg bullet traveling horizontally at the speed of sound (343 m/s) embeds itself into the Kevlar vest of a stationary 100 kg physics professor. The bullet and the professor then move as one. What is the speed of the bullet/professor system after the collision?