Aplayground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. the carousel itself (without riders) has a moment of inertia of 125 kg·m2. when one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. however, as this person moves inward to a point located 0.905 m from the center, the angular velocity increases to 0.800 rad/s. what is the person’s mass?