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Unformatted text preview: MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 1 of 10 10/26/07 11:28 PM [ Print View ] physics 2211 MP12: Chapter 12 Due at 5:30pm on Thursday, November 15, 2007 View Grading Details A Satellite in a Circular Orbit Consider a satellite of mass that orbits a planet of mass in a circle a distance from the center of the planet. The satellite's mass is negligible compared with that of the planet. Indicate whether each of the statements in this problem is true or false. Part A The information given is sufficient to uniquely specify the speed, potential energy, and angular momentum of the satellite. Hint A.1 What constitutes sufficient initial conditions? Hint not displayed ANSWER: true false Part B The total mechanical energy of the satellite is conserved. Hint B.1 When is mechanical energy conserved? Hint not displayed ANSWER: true false Part C The linear momentum vector of the satellite is conserved. Hint C.1 When is linear momentum conserved? Hint not displayed ANSWER: true false Part D MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 2 of 10 10/26/07 11:28 PM The angular momentum of the satellite about the center of the planet is conserved. Hint D.1 When is angular momentum conserved? Hint not displayed ANSWER: true false Part E The equations that express the conservation laws of total mechanical energy and linear momentum are sufficient to solve for the speed necessary to maintain a circular orbit at without using . Hint E.1 How are conservation laws used? Hint not displayed ANSWER: true false Properties of Circular Orbits Learning Goal: To teach you how to find the parameters characterizing an object in a circular orbit around a much heavier body like the earth. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit--a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass . For all parts of this problem, where appropriate, use for the universal gravitational constant. Part A Find the orbital speed for a satellite in a circular orbit of radius . Part A.1 Find the force Find the radial force on the satellite of mass . (Note that will cancel out of your final answer for .) Express your answer in terms of , , , and . Indicate outward radial direction with a positive sign and inward radial direction with a negative sign....
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