As part of a carnival game, a =0.578 kgmb=0.578 kg ball is thrown at a stack of 25.3 cm25.3 cm tall, =0.363 kgmo=0.363 kg objects and hits with a perfectly horizontal velocity of ,i=12.3 m/s. vb, i=12.3 m/s. suppose the ball strikes the topmost object. immediately after the collision, the ball has a horizontal velocity of ,f=4.85 m/svb, f=4.85 m/s in the same direction, the topmost object has an angular velocity of =2.03 rad/sωo=2.03 rad/s about its center of mass, and all the remaining objects are undisturbed. if the object's center of mass is located =17.7 cmr=17.7 cm below the point where the ball hits, what is the moment of inertia of the object about its center of mass?