A playground 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 111 kgm². When one person is standing at a distance of 1.56 m from the center, the carousel has an angular velocity of 0.593 rad/s. However, as this person moves inward to a point located 0.585 m from the center, the angular velocity increases to 0.707 rad/s. What is the person's mass?