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

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Physics

A space station consists of three modules, connected to form anequilateral triangle of side length 82.0 m. Suppose 100 people,with an average mass of 75.0 kg each, live in each capsule and themass of the modules is negligible compared to the mass of thepeople. If everyone went to the top left module for a parade whatwould be the change in position of (a) the center of mass of thestation and (b) top left module, during the parade (Assume theactual station's mass is negligible)? Suppose now that everyone isback to their respective module and artificial gravity is simulatedby rotating the station. (c) How fast would one of the modules haveto be moving to simulate gravity on earth? (d) If the station doesnot change mass or interact with an outside agent, could itactually go from a state of not rotating to a state of rotating?Explain. Suppose that the station is rotating at the artificialEarth gravity speed and the moment of inertia of the stationwithout the people is 2.00x109 kg·m2.If the distance between eachmodule is reduced to half, what will be the new (e) tangentialvelocity and (f) radial acceleration in units of g?

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