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Communications engineers attempt to place an artificial satellite of mass m, 5.19 x 10' kg in a geosynchronous orbit in which the satellite remains
Communications engineers attempt to place an artificial satellite of mass m, 5.19 x 10' kg in a geosynchronous orbit in which the satellite remains over one spot on Earth's surface at an altitude of 3.56 x 10' m above sea level. The mass of Earth is ME = 5.9 x 1024 kg. The radius of Earth is RE = 6.37 x 10 m. The total mechanical energy of the satellite-Earth system should be for a stable geosynchronous orbit, but the engineers placed this satellite in an orbit at the correct radius but with a total mechanical energy of E = -2.46 1010 J. Which of the following is a correct value for the kinetic energy of the satellite along with a possible result from having the incorrect energy? A K = 8.15 x 10 J; the satellite's orbit will decay as it spirals into Earth's surface. K = 2.46 x 1010 J; the satellite will enter an elliptical orbit about Earth with a smaller average radius than desired. K = 2.46 x 1010 J; the kinetic energy is close enough to the correct energy, so the satellite will remain in the desired orbit. K = 4.87 x 1010 J; the satellite will enter an elliptical orbit about Earth with a larger average radius than desired. E K = 2.46 x 1013 J; the satellite will leave Earth's orbit.
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