How Does Height Above Earth Affect Satellite Weight?

In summary, the weight of a 200 kg satellite 12.8 * 10^6 m above the surface of the Earth can be calculated using the formula F = GMm/d² or F = mg with g = GM/d², as the gravitational force gets weaker as the satellite moves further from the center of the Earth.
  • #1
Arooj
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Homework Statement


What is the weight of a 200 kg satellite 12.8 * 10^6 m above the surface of the Earth.


Homework Equations


F = mg


The Attempt at a Solution


F=200 (9.81)
F = 1962 N

I thought this was a basic weight problem, but I was confused on whether the height above the Earth affects the weight.
 
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  • #2
The gravitational force gets weaker as you go further out from the center of the Earth. The g = 9.81 value will not be accurate. You could use the basic gravitational force formula F = GMm/d² (M=mass of Earth, m = mass of satellite, d = distance from center of Earth to center of satellite) or you could use the F = mg with g = GM/d².
 

FAQ: How Does Height Above Earth Affect Satellite Weight?

What is a gravitational motion satellite?

A gravitational motion satellite is an object that orbits around a larger celestial body due to the force of gravity. Examples of gravitational motion satellites include planets, moons, and human-made satellites.

What causes a gravitational motion satellite to stay in orbit?

The gravitational force between the satellite and the larger celestial body is what keeps the satellite in orbit. This force is constantly pulling the satellite towards the larger body, but the satellite's forward motion balances out the pull, allowing it to remain in a stable orbit.

How is the orbit of a gravitational motion satellite determined?

The orbit of a satellite is determined by its velocity and the strength of the gravitational force between it and the larger celestial body. The satellite's velocity must be great enough to balance out the gravitational force and keep it in orbit.

Can the orbit of a gravitational motion satellite change?

Yes, the orbit of a satellite can change due to various factors such as changes in the gravitational force, collisions with other objects, and the influence of other celestial bodies. This is why satellites require regular adjustments to maintain their intended orbit.

What are the practical applications of gravitational motion satellites?

Gravitational motion satellites have a variety of practical applications, including communication, navigation, weather monitoring, and scientific research. They also play a crucial role in space exploration and the study of the universe.

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