A playground carousel is free to rotate about its center onfrictionless bearings, and air resistance is negligable. Thecarousel itself (without riders) has a moment of inertia of 125kgm^2. When one person is standing at a distance of 1.50 m fromtthe center, the carousel has an angular velocity of 0.6 rad/s.However, as the person moves inward to a point located 0.750 m fromthe center, the angular velocity increases to 0.8 rad/s. What is the person's mass?