As part of a carnival game, a mb=0.553 kg ball is thrown at a stack of 16.8 cm tall, mo=0.343 kg objects and hits with a perfectly horizontal velocity of ,i=10.8 m/s. suppose the ball strikes the topmost object. immediately after the collision, the ball has a horizontal velocity of ,f=4.85 m/s in the same direction, the topmost object has an angular velocity of =5.23 rad/s about its center of mass, and all the remaining objects are undisturbed. if the object's center of mass is located =11.8 cm below the point where the ball hits, what is the moment of inertia of the object about its center of mass?

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 740 n/m. it is initially at rest on an inclined plane that is at an angle of theta= 26 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uk = 0.17. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. the block's initial mechanical energy is 9.472 j.b. if the spring pushes the block up the incline, what distance l in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.