Proportionality of gravitational fields

AI Thread Summary
To determine the altitude for a satellite orbit where Earth's gravitational field is half its surface value, the gravitational force is inversely proportional to the square of the distance from the center of the Earth (Fg ∝ 1/r^2). The correct altitude can be calculated using this relationship, leading to the conclusion that the answer is D, √2R. However, the original poster struggled to show their calculations and was encouraged to share their attempts for better assistance. The discussion emphasizes the importance of demonstrating problem-solving steps in physics to receive effective help. Clarifying the calculations is essential for understanding the solution.
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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