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A mouse of mass 0.5 kg lies on the rim of a solid uniform disk of mass 0.3 kg and a radius 10cm that can freely rotate around its center like a merry go round. Initially the mouse and the disk rotate together with an angular velocity of 2.0 rad/s. If the mouse walks to a position at the center of the disk, what is the new angular velocity of the system (in rad/s)

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