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23 Nov 2019

TheInternational Space Station orbits the Earth at a height of 400kmabove the Earth’s surface. a) What is the speed of thestationrelative to the Earth center? b) Express its total energyin termsthe distance from the Earth’s surface without usingthe speed. (Anumerical value would require knowing thestation’s mass). As partof a publicity stunt, a Russiancosmonaut on the station decides todo an E.V.A. (Extra VehicularActivity) and play a little golf. He’tees up’ andwacks the 0.05 kg golf ball at a velocity of 500 m/srelativeto the station, directly with the station’sorbitingdirection. c) At what height above the Earth’s surfacewillthe ball eventually orbit? Assume that the total energy ofthegolf ball remains unchanged and that its final orbitisapproximately circular.

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