A merry-go-round (carousel) with a moment of inertia of 594 kg·m2, is initially rotating horizontally at 2 rad/s about a frictionless axis through its center. Then a metal plate located at that center loosens and gradually slides outward along the floor of the merry-go-round. When the plate is 1.4 m from the center, the merry-go-round has lost 1% of its original rotational speed. Assuming that all mechanical energy losses are due to kinetic friction between the plate and floor, find that coefficient of kinetic friction. (Ignore the slow speed of the plate's sliding.)