How high up would you have to be to see a significant difference in the acceleration due to gravity? Explain

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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How high up would you have to be to see a significant difference in the acceleration due to gravity? Explain. 

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The acceleration due to gravity is approximately 9.81 m/s2 at sea level. As we move away from the Earth's surface, the distance between the center of the Earth and the object increases, and the force of gravity acting on the object decreases.

The acceleration due to gravity at surface of earth = GMR2 ,G is gravitational constant, M is mass of earth, R is radius of earth.

The acceleration due to gravity from height h from surface of earth =GM(R+h)2

Radius of earth = 6371 km = 6371000 m

 

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