How Far Above Earth is the Satellite?

In summary, the conversation discusses the calculation of the distance of a satellite floating in space above the Earth's surface, given the Earth's radius, mass, and gravitational acceleration. The correct equation is provided and the attempt at solving it is mentioned. The question of whether the calculated value is correct is raised and further guidance is requested. The conversation ends with questioning the units and confirming the desired distance to be found.
  • #1
Rbethell16
10
0
1. Homework Statement
The radius of the Earth is 6.86 e6 m and the mass of the Earth is 5.98 e24kg. There is a satellite floating in space at a point where the Earth's gravitational acceleration is 3.2 m/s^2.

How far above the Earths surface is the Satellite?
2. Homework Equations
GMm/R^2 = F


3. The Attempt at a Solution
So I did 3.2 = GM/R^2...R = 1164480.51. But that isn't right - could someone please guide me as to how I should go about setting up the equation
 
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  • #2
That is the correct equation. Why do you think your answer is wrong?
 
  • #3
I didn't check the calculation, but let's assume you did it correctly and R is indeed 1164480.

Then whát distance exactly is 1164480 (and in what units? Always state your units!).
Is that the distance you were asked to find?
 
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