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A space station consists of three modules, connected to form an equilateral triangle of side length...

A space station consists of three modules, connected to form an equilateral triangle of side length 82.0 m. Suppose 100 people, with an average mass of 75.0 kg each, live in each capsule and the mass of the modules is negligible compared to the mass of the people. If everyone went to the top left module for a parade what would be the change in position of (a) the center of mass of the station and (b) top left module, during the parade (Assume the actual station's mass is negligible)? Suppose now that everyone is back to their respective module and artificial gravity is simulated by rotating the station. (c) How fast would one of the modules have to be moving to simulate gravity on earth? (d) If the station does not change mass or interact with an outside agent, could it actually go from a state of not rotating to a state of rotating? Explain. Suppose that the station is rotating at the artificial Earth gravity speed and the moment of inertia of the station without the people is 2.00x109 kg·m2.If the distance between each module is reduced to half, what will be the new (e) tangential velocity and (f) radial acceleration in units of g?

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