Communications engineers attempt to place an artificial satellite of mass m, = 5.19 x 10³ kg in a geosynchronous orbit in which the satellite remains over one spot on Earth's surface at an altitude of 3.56 x 107 m above sea level. The mass of Earth is ME = 5.9 x 1024 kg. The radius of Earth is RE = 6.37 x 106 m. The total mechanical energy of the satellite-Earth system should be E= -2.43x10¹0 J 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 = -2.76 x 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? K = 9.72 x 106 J; the satellite's orbit will decay as it spirals into Earth's surface. A B C D K = 2.43 x 10¹0 J; the satellite will enter an elliptical orbit about Earth with a smaller average radius than desired. K = 2.43 x 10¹0 J; the kinetic energy is close enough to the correct energy, so the satellite will remain in the desired orbit. K 4.86 x 1010 J; the satellite will enter an elliptical orbit about Earth with a larger average radius than desired.

Communications engineers attempt to place an artificial satellite of mass m, = 5.19 x 10³ kg in a geosynchronous orbit in which the satellite remains over one spot on Earth's surface at an altitude of 3.56 x 107 m above sea level. The mass of Earth is ME = 5.9 x 1024 kg. The radius of Earth is RE = 6.37 x 106 m. The total mechanical energy of the satellite-Earth system should be E= -2.43x10¹0 J 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 = -2.76 x 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? K = 9.72 x 106 J; the satellite's orbit will decay as it spirals into Earth's surface. A B C D K = 2.43 x 10¹0 J; the satellite will enter an elliptical orbit about Earth with a smaller average radius than desired. K = 2.43 x 10¹0 J; the kinetic energy is close enough to the correct energy, so the satellite will remain in the desired orbit. K 4.86 x 1010 J; the satellite will enter an elliptical orbit about Earth with a larger average radius than desired.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 11.53AP

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