A stationary ice skater with a mass of 80.0 kg and a moment of inertia (about her central vertical axis) of catches a baseball with her outstretched arm. The catch is made at a distance of 1.00 m from the central axis. The ball has a mass of 145 g and is traveling at before the catch.
(a) What linear speed does the system (skater + ball) have after the catch?
(b) What is the angular speed of the system (skater + ball) after the catch?
(c) What percentage of the ball’s initial kinetic energy is lost during the catch?