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Gravitation Problem

  1. Apr 21, 2009 #1
    The problem statement, all variables and given/known data
    A 11 kg satellite has a circular orbit with a period of 1.0 h and a radius of 4.9 × 10^6 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 41 m/s^2, what is the radius of the planet?


    The attempt at a solution
    I used the formula:
    (4pi^2 Rs^3) / (a T^2) = Rp^2


    I'm on my last try.
    I got 177000000 and then 935000.
    I know the formula is right for sure.
    I'm not sure what's going on with my calculations. It's basic algebra, easy stuff, but I'm making some mistake... >.>
     
    Last edited: Apr 21, 2009
  2. jcsd
  3. Apr 21, 2009 #2
    What You wrote seems right...
    What did You plug for T?i hope 3600sec
    i got 2956411 meters
    approx:
    3*10^6
     
    Last edited: Apr 21, 2009
  4. Apr 21, 2009 #3

    Cyosis

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    Homework Helper

    The first answer you got was because you didn't square the time. I am unsure how you got to the second answer, however I do get the same answer as Dweirdo.
     
  5. Apr 21, 2009 #4
    Okay I don't know how I got that second one either.
    I kept plugging in the numbers and got that second answer.
    For some reason, after I read Dweirdo's post, I plugged it in again and this time it worked.
    Don't know what I did back then but thank you very much!
     
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