21st Century Astronomy 6E
21st Century Astronomy 6E
6th Edition
ISBN: 9780393690675
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton
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Chapter 4, Problem 40QP
To determine

The value of g on Earth and compare the result with measured value.

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Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax2, to match the physical hypothesis, y = 1/2*g*t2. From the best-fit curve, you are told that the value of your fit-parameter, A, is 4.6 m/s2 ± 0.4 m/s2. Determine the value of g ± (delta)g for this fit-parameter value.
The International Space Station (ISS) orbits the Earth once every 7.2 hours. If the radius of the Earth is 3,958.8 miles and the mass of earth is 5.972 x 10 kg, calculate the altitude of the ISS above the surface of the Earth, in miles. Use G=6.674 x 10 11 Nm2/kg?. Write your answer in pure numbers, for example, 4567.8. Keep at least on digit after the decimal point. 24
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