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 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. MR rope I , r pulley Spherical ball m Figure 1: Spherical ball, pulley, and block