How Do You Calculate Altitude Changes in Earth's Gravitational Field Strength?

AI Thread Summary
To calculate altitude changes in Earth's gravitational field strength, the problem involves determining the heights where gravitational strength is two-thirds and one-third of its surface value. The relevant equation is F_g = GMm/r^2, which describes gravitational force. The initial attempt at a solution indicates confusion about the correct equation and how to approach the problem. Participants in the discussion seek clarification on setting up proportions and the proper use of equations for these calculations. Understanding the relationship between gravitational strength and altitude is essential for solving these problems accurately.
Jtappan
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Homework Statement



(a) Find the altitude above the Earth's surface where Earth's gravitational field strength would be two-thirds of its value at the surface. Assume re = 6.371 103 km.
km
(b) Find the altitude above the Earth's surface where Earth's gravitational field strength would be one-third of its value at the surface.
km



Homework Equations



m = (GMe/Re^2)

The Attempt at a Solution



Im not entirely sure the equation is right for this type of problem. I do not even know where to start for this problem.
 
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Jtappan said:

Homework Statement



(a) Find the altitude above the Earth's surface where Earth's gravitational field strength would be two-thirds of its value at the surface. Assume re = 6.371 103 km.
km
(b) Find the altitude above the Earth's surface where Earth's gravitational field strength would be one-third of its value at the surface.
km

Homework Equations



m = (GMe/Re^2)

The Attempt at a Solution



Im not entirely sure the equation is right for this type of problem. I do not even know where to start for this problem.
I think your equation is wrong. F_g=\frac{GMm}{r^2}

Do you know how to set up a proportion of equations?
 
Could you please explain how to do that? :-)
 

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