Stars and Galaxies (MindTap Course List)
Stars and Galaxies (MindTap Course List)
10th Edition
ISBN: 9781337399944
Author: Michael A. Seeds
Publisher: Cengage Learning
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Chapter 5, Problem 10P

Describe the shape of the orbit followed by the slowest cannonball in Figure 3 of the Concept Art, pretending that the cannonball could pass freely through Earth. (Newton got this problem wrong the first time he tried to solve it.)

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Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown:                  T2 = (2π/ G ME) r3 Where G = Universal Constant of Gravitation and ME is the mass of the earth.  A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.
A satellite in orbit around the earth is at an altitude of 107 percent of the earth's radius. Rounding off our old friend "g" to ten meters per second squared, what is the acceleration due to earth's gravity at the satellite?  Your answer should be in meters per second squared, but do not put the unit, just the number.
Many people mistakenly believe that astronauts that orbit the Earth are "above gravity." Calculate the acceleration due to gravity (g) for space shuttle territory, 200 kilometers above the Earth's surface. Earth's mass is 6 x 1024 kilograms and its radius is 6.38 x 106 meters (6380 kilometers). Your answer is what percentage of 9.8m/s2? (Can you help me break it down in a way that I could understand and calculate?)
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Kepler's Three Laws Explained; Author: PhysicsHigh;https://www.youtube.com/watch?v=kyR6EO_RMKE;License: Standard YouTube License, CC-BY