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Really stuck on this question about gravitational fields

  1. Sep 7, 2011 #1
    1. The problem statement, all variables and given/known data

    The gravitational field strength experianced by a satellite orbiting Earth is 4.5 N kg^-1. Calculate how high above the Earths surface the satellite is in orbit.

    other info:

    the gravitational constant is 6.67x10^-11
    the mass of the earth is: 6.0x10^24 kg
    the radius of the earth is: 6.38x10^6 m

    2. Relevant equations

    I think you have to use

    g= GM / r^2

    but the problem is i know to find distance you have to add it to the radius but im really unsure on how to rearrange this to find distance when i already have g.

    3. The attempt at a solution

    really not sure :l
     
  2. jcsd
  3. Sep 8, 2011 #2

    Delphi51

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    Homework Helper

    Welcome to PF, Smiley. I don't want to spoil your adventure with this problem, but I'll give you a terrific hint. In all these orbit problems that you'll meet this year, a circular orbit is implied. So you have circular motion. That means something is providing a centripetal force pulling the satellite toward the center of the circle. It is the force of gravity. Begin all these problems by writing
    centripetal force = force of gravity
    Fill in the detailed formulas and solve for the quantity you want!
     
  4. Sep 8, 2011 #3
    thankyou for your reply!
    I think what you're trying to tell me is that i use gravity in my answer (as in 9.8?). Except i dont really understand where gravity fits in because aren't i supposed to be finding the distance?

    I really appreaciate the help! :)
     
  5. Sep 8, 2011 #4

    Delphi51

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    Homework Helper

    Sorry, I now see that your question is not really an orbit problem. It s simpler than I wrote earlier!

    Don't use g = 9.8; that is only true at the surface of the Earth. Out where this satellite is, you are given g = 4.5 N kg^-1. Just put that into your formula
    g= GM / r^2
    and solve for r. You will have to adjust that answer a bit to get the one the question asks for.
     
    Last edited: Sep 8, 2011
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