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?
 

Related to How Far Above Earth is the Satellite?

1. What is the gravitational force problem?

The gravitational force problem refers to the question of how gravity works and the discrepancies between classical physics and general relativity in explaining it. It is a long-standing problem in physics that has yet to be fully resolved.

2. What are the main theories proposed to solve the gravitational force problem?

There are several theories proposed to solve the gravitational force problem, including general relativity, which is currently the most widely accepted theory, and modified gravity theories, such as MOND (Modified Newtonian Dynamics) and TeVeS (Tensor-Vector-Scalar).

3. How does general relativity explain gravity?

General relativity explains gravity as the curvature of spacetime caused by the presence of matter and energy. According to this theory, objects with mass or energy warp the fabric of spacetime, causing other objects to move towards them.

4. What is the role of the gravitational constant in the gravitational force problem?

The gravitational constant, denoted by G, is a fundamental constant in physics that determines the strength of the gravitational force between two objects. It is a crucial factor in solving the gravitational force problem and is used in various equations and theories to understand gravity.

5. How does the gravitational force problem impact our understanding of the universe?

The gravitational force problem is essential for understanding the fundamental laws of the universe and how it operates. Solving this problem can lead to a better understanding of gravity and its effects on objects in the universe, from the small scale of atoms to the vast scale of galaxies and the entire universe.

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