Universal Gravitation and magnitude

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Homework Help Overview

The problem involves calculating the gravitational force acting on a satellite using the Universal Gravitation Law. The context is centered around gravitational forces and their dependence on distance from the Earth's center.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the Universal Gravitation Law but questions the correctness of their calculation after comparing it to a textbook answer. Some participants clarify that the distance used should be from the center of the Earth, not just the height above the surface.

Discussion Status

The discussion is ongoing, with participants providing guidance on the correct interpretation of the distance in the gravitational formula. There is a recognition of the need to adjust the distance used in the calculation.

Contextual Notes

Participants are discussing the radius of the Earth and its relevance to the problem, indicating that additional information may be necessary to proceed accurately.

Dgolverk
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Homework Statement


Determine the magnitude of the force of gravity acting on a 340 kg satellite, 850km above Earth's surface.


Homework Equations


So I dedcided to use the Universal Gravitation Law:
Fg = (Gm1m2)/d^2


The Attempt at a Solution


m1=5.98E24 (earth's mass)
m2=340kg (satellite)
G=6.67E-11
d=850,000m

After subbing them all into the formula I got 187,701N.
However the answer in the book is 2.1E2N.
So I'm not sure if I did it right... can you please check it?
Thanks
 
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Dgolverk said:

Homework Equations


So I dedcided to use the Universal Gravitation Law:
Fg = (Gm1m2)/d^2
Good choice. But the distance "d" is between the centers of the two bodies, not height above the Earth's surface.
 
Oh.. I see.
So how can I continue? I'm not really sure what to do next...
 
You're given the distance between the satellite and the Earth's surface. What's the distance from the Earth's surface to the Earth's center--the radius of the Earth? (Look it up!)
 
Alright I understand.
Thanks :)
 

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