A playground carousel is free to rotate regarding its, Physics

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A playground carousel is free to rotate regarding its

A playground carousel is free to rotate regarding its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 120kg·m². When one person is standing at a distance of 1.50 m from the center, the carousel has an angular velocity of0.700 rad/s. But, as this person moves inward to a point located 0.750 m from the center, the angular velocity increases to 0.850rad/s. What is the person's mass?

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