9. The figure at right depicts the following situation: a thin uniform rod of length L = 3.0 m and mass M = 4.0 kg is free to pivot about a frictionless axle parallel to the z-axis and passing through its midpoint. The moment of inertia of the rod about the axle is =MI². Initially the rod is at rest, hanging vertically. A small clay ball of mass m = 1.0 kg is shot at the rod with velocity = (1.0"), and it impacts the rod at a distance L/3 below the pivot point. The clay ball sticks to the rod, and they both swing together in an upward arc. If the putty ball swings to a final maximum height h above the point where it first struck the rod, what is the height h? A) 0.003 m B) 0.013 m C) 0.027 m D) 0.043 m E) 0.067 m

9. The figure at right depicts the following situation: a thin uniform rod of length L = 3.0 m and mass M = 4.0 kg is free to pivot about a frictionless axle parallel to the z-axis and passing through its midpoint. The moment of inertia of the rod about the axle is =MI². Initially the rod is at rest, hanging vertically. A small clay ball of mass m = 1.0 kg is shot at the rod with velocity = (1.0"), and it impacts the rod at a distance L/3 below the pivot point. The clay ball sticks to the rod, and they both swing together in an upward arc. If the putty ball swings to a final maximum height h above the point where it first struck the rod, what is the height h? A) 0.003 m B) 0.013 m C) 0.027 m D) 0.043 m E) 0.067 m