The gravitational field is another name for the acceleration due to gravity, depending on position, abbreviated as a. The gravitational field near the Earth's surface has the special value g = 9.8 m/s2. You can assume that the radius of the Earth is REarth = 6,400 km. Calculate the gravitational field from this formula, at a height of 585 km above the surface of the Earth. Enter the result in m/s2. Round to one digit after the decimal point (i.e., the same number of digits as in g = 9.8 m/s2). Hint: You can use either kilometers or meters for the values of REarth and R in this formula, as long as you use the same units for both. These units cancel out.

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 10.20P: Calculate the effective gravitational field vector g at Earths surface at the poles and the equator....
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The gravitational field is another name for the acceleration due to gravity, depending on position, abbreviated as a. The gravitational field near the Earth's surface has the special value g = 9.8 m/s2.

 

You can assume that the radius of the Earth is REarth = 6,400 km. 

Calculate the gravitational field from this formula, at a height of 585 km above the surface of the Earth. Enter the result in m/s2. Round to one digit after the decimal point (i.e., the same number of digits as in g = 9.8 m/s2).

Hint:

You can use either kilometers or meters for the values of REarth and R in this formula, as long as you use the same units for both. These units cancel out.

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