Hello I need help on these questions 14, 15, 17, and 18. Work would be appreciated alot so I could take notes and understand! thank you!

14. [-I3 Points] SERPSE1011.4.0P.018. 0/6 Submissions Used ASK YOUR TEACHER A student sits on a freely rotating stool holding two dumbbells, each or mass 2.93 kg (see figure below). When his arms are extended horizontally (Figure a), the dumbbells are 1.07 m from the axis of rotation and the student rotates with an angular speed or 0.751 rad/s. The moment of inertia of the student plus stool is 2'73 kg - m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0297 m from the rotation axis (Figure in). u. (i3w/ (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Khefore : :i J Kaer = E J 15. [-/2 Points] DETAILS SERPSE10 11.4.OP.019. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A disk of mass m, = 70.0 g and radius r, = 4.50 cm slides on a frictionless sheet of ice with velocity v, where v = 16.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m2 = 100 9, a radius 2 = 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). m mg a b (a) What is the magnitude of the angular momentum (in kg . m2/s) of the two-disk system relative to its center of mass? kg . m /s (b) What is the angular speed (in rad/s) about the center of mass? rad/s11. [/4 Points] SERPSEIO 11.4.P.024t 0/6 Submissions Used MY NOTES ASK YOUR TEACHER The gure below represents a small, flat puck with mass m = 2.37 kg sliding on a frictionless, horizontal surface. It IS held in a circular orbit about a fixed axis by a rod with negligible mass and length R = 1.09 m, plvoted at one end. Initially, the puck has a speed of v : 4.75 m/s. A LOO-kg ball of putty is dropped vertically onto the the puck from a small distance above it and immediately sticks to the puck. (a) What is the new period of rotation? s 18. [-/7 Points] DETAILS SERPSE10 11.4.P.025. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A uniform cylindrical turntable of radius 1.50 m and mass 35.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 47 rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.50 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.40 m to the east of the axis. (a) Find the final angular speed of the clay and turntable. magnitude 2.876 rad/s direction clockwise (b) Is mechanical energy of the turntable-clay system constant in this process? O Yes O No What, if any, is the change in internal energy? (c) Is momentum of the system constant in this process? O Yes O No What, if any, is the amount of impulse imparted by the bearing? magnitude kg . m/s direction ---Select--- V