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Unformatted text preview: 31) a) Note that the mass cancels out, so that acceleration does not depend on the mass of the object: ! GMem masurface  = R2 e
Then we have GMe g= R2 e
g= ! GMe ! asurface  = R2 e (6.67 ! 1011 m3 / kg " s2 )(5.974 ! 1024 kg) (6.37 ! 106 m)2 g = 9.82 m/s2 b) The gravitational acceleration would be the same, g = 9.82 m/s2, since it does not depend on the mass of the object. c) Now the radius is the sum of the earth's radius and the altitude of the space station (380 km = 0.38 106 m). GM g= 2e r (6.67 ! 1011 m3 / kg " s2 )(5.974 ! 1024 kg) g= (6.37 ! 106 m + 0.38 ! 106 m)2
g = 8.75 m/s2 32) 33) ...
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This homework help was uploaded on 04/07/2008 for the course PHYS 121 taught by Professor Kernan during the Spring '08 term at Case Western.
 Spring '08
 kernan
 Acceleration, Mass

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