A playground carousel is free to rotate about its center onfrictionless bearings, and air resistance is negligible. Thecarousel itself (without riders) has a moment of inertia of130 kg·m2. When oneperson is standing at a distance of 1.50 m from the center, thecarousel has an angular velocity of 0.570rad/s. However, as this person moves inward to a point located0.750 m from the center, the angular velocity increases to0.670 rad/s. What is the person's mass?