Some satellites are located in what is called a geosynchronous orbit around the Earth, in which they maintain their position over a particular location on the Earth as the Earth spins on its axis. For instance, one such satellite might be directly above Quito, Ecuador at all times. For this exercise, take the mass of the Earth to be \(5.97 \times 10^{24}\) kg, and we will also assume that the Earth takes exactly 24 hours to rotate once on its axis.(a) How far from the center of the Earth is such a satellite, assuming it is over a particular point on the equator at all times?\[ \_\_\_\_\_\_\_\_ \, \text{m} \](b) What is the speed of this satellite, in its circular orbit around the Earth? Neglect the fact that the Earth itself is moving, too!\[ \_\_\_\_\_\_\_\_ \, \text{m/s} \]

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Some satellites are located in what is called a geosynchronous orbit around the Earth, in which they maintain their position over a particular location on the Earth as the Earth spins on its axis. For instance, one such satellite might be directly above Quito, Ecuador at all times. For this exercise, take the mass of the Earth to be 5.97 x 1024 kg, and we will also assume that the Earth takes exactl 24 hours to rotate once on its axis. (a) How far from the center of the Earth is such a satellite, assuming it is over a particular point on the equator at all times? m (b) What is the speed of this satellite, in its circular orbit around the Earth? Neglect the fact that the Earth itself is moving, too!

Some satellites are located in what is called a geosynchronous orbit around the Earth, in which they maintain their position over a particular location on the Earth as the Earth spins on its axis. For instance, one such satellite might be directly above Quito, Ecuador at all times. For this exercise, take the mass of the Earth to be 5.97 x 1024 kg, and we will also assume that the Earth takes exactl 24 hours to rotate once on its axis. (a) How far from the center of the Earth is such a satellite, assuming it is over a particular point on the equator at all times? m (b) What is the speed of this satellite, in its circular orbit around the Earth? Neglect the fact that the Earth itself is moving, too!

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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