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[5 marks] In class we discussed the possibility of creating artificial gravity by spinning a space station, as illustrated in the figure to the right. We said that one problem with such a set-up is that the artificial gravity at an astronauts feet would be stronger than at his head. Suppose that you are asked to design such a space station that has an artificial gravity of 9.00 m/s2 at an astronauts feet and 5% less at his head. What would be the space stations radius if the astronaut is 170 cm tall? 2.

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