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Problem 1 (27 Marks) A. A sensitive gravimeter is carried to the top floor of Chicago's Sears Tower, where its reading for the acceleration of gravity is 2.18 x 10'3 m/s2 lower than at the street level. Find the height ofthe building. (7 marks) B. At what altitude will a geosvnchronous satellite complete a circular orbit ofthe Earth in 2.00 hours? What is the value of gravitation strength lg) at the location ofthis satellite. (10 marks) C. Bathroom scales measure weight (rte, a force) but give the reading in kilograms {i.e., mass). In general, the conversion rate is 9.80m/52. A particular scale shows a person's mass as being 75.0 kg at the Earth's equator and 20.0 meter above the sea level. a) Does the spinning of the Earth contribute to the scale's reading? (5 marks) b) What would the change of scale read at the South Pole of the person at the same heigh of 20.0 meter from the sea level? The same, less than 75.0 kg or more than 75.0 kg, with sufficient explanation. {5 marks) [The mass of the Earth is 5.98 x 102'1 kg and the mean radius of the Earth is 6.37 x 10'5 m]