(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface isdg2GM3--5drRE³This rate of change with position is called a gradient.(b) Assuming his small in comparison to the radius of the Earth, show that the difference in free-fall acceleration between two points separated by vertical distance h is|Agl=2GMEhRE3(c) Evaluate this difference for h = 41.25 m, a typical height for a fifteen-story building. (Enter your answer in m/s².)m/s²

Answered: Image /qna-images/answer/406e00c9-af6d-4836-bc32-35375ad4b0d8.jpg

Answered: (a) Show that the rate of change of the…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 7P

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