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(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is dg dr 2GM RE³ This rate of change with position is called a gradient. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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 2GM Eh |Ag❘ = RE (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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

(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is dg dr 2GM RE³ This rate of change with position is called a gradient. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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 2GM Eh |Ag❘ = RE (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter10: Motion In A Noninertial Reference Frame
Section: Chapter Questions
Problem 10.12P
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(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is dg dr 2GM RE³ This rate of change with position is called a gradient. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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 2GM Eh |Ag❘ = RE (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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
Transcribed Image Text:(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is dg dr 2GM RE³ This rate of change with position is called a gradient. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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 2GM Eh |Ag❘ = RE (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (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
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