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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

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
E
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.
K 2.43 x 1013 J; the satellite will leave Earth's orbit.
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