Calculating the Effective Value of g at 3330 m Above Earth's Surface

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Homework Help Overview

The discussion revolves around calculating the effective value of gravitational acceleration (g) at a height of 3330 meters above the Earth's surface. Participants are exploring the implications of altitude on the value of g and the relevant formulas involved.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the standard value of g and its variation with altitude. Some question the formula for calculating g at a height, while others suggest expressing g as a fraction of its value at the surface to simplify the calculation. There is also confusion regarding the correct use of distance in the formula.

Discussion Status

The discussion is active, with participants providing different perspectives on how to approach the calculation. Some guidance has been offered regarding the use of Earth's radius and the relationship between effective g and ordinary g, but no consensus has been reached on the method.

Contextual Notes

There is a mention of needing to know the radius of the Earth and the mass of the Earth, which may not be readily available to all participants. Additionally, there is a correction regarding the use of distance in the formula, indicating potential misunderstandings in the setup of the problem.

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Calculate the effective value of g, the acceleration of gravity, at 3330 m above the Earth's surface.

Isn't the value of g always -9.8 m/s^2?
 
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g has magnitude 9.8 m/s^2 near the surface of the earth

Generally, g=GM/R^2 where M=mass of the earth, R=distance from the Earth's center, and G is Newton's gravitational constant.
 
so if I wanted to Calculate the effective value of g, the acceleration of gravity, at 3330 km above the Earth's surface.

I would times 6.6742 × 10−11 (G) by Earth's mass and then divide it by 3330km^2? How do I know Earth's mass?
 
Write your "effective acceleration of gravity" as a fraction of "ordinary acceleration of gravity" (this bypasses the need to calculate the mass of the Earth and G, but you should know the radius of the Earth.)
And no, you should NOT divide with 3300 squared. Think again.
 

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