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A satellite consists of a sphere of mass 1.00 x 10^3 with two spherical "ears" on retractable booms. The ears each have a mass of 50.0 kg. The satellite is spinning with an angular speed of 1 rad/sec with the ears fully extended. If the ears are retracted so that they just touch the main body of the satellite, what will be the angular speed? The radius of the larger sphere is 3.0m and the ears have the radius of 50.0cm.

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