1. A uniform spherical ball of mass M = 4.5 kg and radius R = 8.5 cm can rotate about a vertical axis on frictionless bearings. As shown in Fig. 1, a massless cord passes around the ball with a distance d = 3.0 cm from the center, over a pulley of rotational inertia I = 3.0 x 10 3 kg.m and radius r = 5.0 cm, and is attached to a small object of mass m = 0.60 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen 82 cm after being released from rest? Use energy considerations. M, R rope I,r pulley Spherical ball m Figure 1: Spherical ball, pulley, and block