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This time we have a non-rotating space station in the shape of a long thin uniform...

This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.88 x 10^6 kg and length 1447 meters. Small probes of mass 9779 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 3576 m/s with respect to the launch points, which are each located 412 m from the center of the rod. After 17 pairs of probes have launched, how fast will the station be spinning?

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