5. (10 points) A carousel has a mass of 500 kg and a radius of 10.0 m. A lion and a horse are located at 9.0 m and 5.0 m, respectively, from the center of the carousel. Annie has mass of 70 kg and is sitting on the lion while Adam has mass of 90 kg is sitting on the horse. Starting from rest, the carousel rotated freely with angular acceleration of 0.2 rad/s2 for one minute and maintains constant angular speed thereafter. Aer some time, Annie and Adam exchanged their places. Find the angular speed of the carousel before and aer they exchanged their places? Assume carousel is a solid cylinder I = 1/2 MR2