(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is 2GME R dg dr This rate of change with position is called a gradient. (b) Assuming h is small in comparison to the radius of the Earth, show that the difference in free-fall acceleration between two points separated by vertical distance his 2GM,h |Agl R (c) Evaluate this difference for h = 6.00 m, a typical height for a two-story building.

(a) Show that the rate of change of the free-fall acceleration with vertical position near the Earth's surface is 2GME R dg dr This rate of change with position is called a gradient. (b) Assuming h is small in comparison to the radius of the Earth, show that the difference in free-fall acceleration between two points separated by vertical distance his 2GM,h |Agl R (c) Evaluate this difference for h = 6.00 m, a typical height for a two-story building.

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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