A 60 kg ice skater is moving to the left at 2 m/s. A 40 kg ice skater is moving to the right at 3 m/s. As they approach, they are moving along lines 2.5 m apart. When they are even with each other they grab onto one another (with the help of a pole with a negligible mass) to begin to rotate about their common center-of-mass. Assuming the 40kg skater is moving along the line y = 0 and the 60 kg skater is moving along the line y = 2.5, find the location of the common center-of-mass. Use conservation of angular momentum to write and equation describing this collision. Solve your equation to find the angular speed of the skaters as they rotate.