A child is standing on the edge of a merry-goround that has the shape as a solid disk, as shown in the figure below. The mass of the child is 40 kilograms. The merry-go-round has a mass of 200 kilograms and a radius of 2.5 meters, and it is rotating with an angular velocity of ω = 2.0 radians per second. The child then walks slowly toward the center of the merry-go-round. What will be the final angular velocity of the merry-go-round when the child reaches the center ?
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