Proportionality of gravitational fields

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Homework Help Overview

The discussion revolves around determining the altitude at which a satellite must be placed in orbit so that the gravitational field strength is half of its value at the Earth's surface. The problem is situated within the context of gravitational fields and their proportionality to distance from the center of the Earth.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express attempts to use the relationship between gravitational force and distance, specifically referencing the inverse square law. There are questions about how to apply the equation and what specific values should be used in the calculations.

Discussion Status

Some participants are seeking clarification on their attempts and are encouraged to share their calculations. There is an ongoing exploration of the problem, with no clear consensus on the correct approach or solution yet.

Contextual Notes

Participants are reminded to show their work and calculations to facilitate better assistance. There is an emphasis on understanding the relationship between gravitational field strength and distance, but specific numerical values or methods have not been fully articulated.

Nikola
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Homework Statement


Scientist want to put a satellite into an orbit where the gravitational field of Earth is half its value at Earth's surface. The altitude of this orbit above the Earth's surface will be
A.3R B. √2R-R C. 4R D.√2R

Homework Equations


Fg∝1/r^2

The Attempt at a Solution


I know it is D. but i couldn't figure out how.
 
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Nikola said:

Homework Statement


Scientist want to put a satellite into an orbit where the gravitational field of Earth is half its value at Earth's surface. The altitude of this orbit above the Earth's surface will be
A.3R B. √2R-R C. 4R D.√2R

Homework Equations


Fg∝1/r^2

The Attempt at a Solution


I know it is D. but i couldn't figure out how.
Show us what you have tried. Maybe we can help you figure it out.
 
i tried using the equation
 

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