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In order better to map the surface features of the Moon, a 359-kg imaging satellite is...

In order better to map the surface features of the Moon, a 359-kg imaging satellite is put into circular orbit around the Moon at an altitude of 1.31 ? 102 km. Calculate the satellite\'s kinetic energy, gravitational potential energy, and total orbital energy. The radius and mass of the Moon are 1.74 ? 103 km and 7.36 ? 1022 kg.

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The velocity of the satellite is, 2 GMm mv rh (r+h) GM r+h 6.67 x101 N m2 kg (7.36x10 kg) (1 131x10 m +1740x103 m 1691.81 m sThe potential energy of the satellite is, r+h (6.67x 10-u N . m2-kg-2 )(7.36x i022 kg)(359 kg) (131x10 m+1740x10 m) -9.41x1

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