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A 500 kg satellite experiences a gravitational force of...

  1. Dec 28, 2016 #1
    1. The problem statement, all variables and given/known data
    A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth.
    c) Find the Period of the orbit
    2. Relevant equations
    So found the period using (Please see the attachment to review my work.) but I also found it by using (V=D/T)
    V= 2(Pi)r/T

    I was wondering if there's any difference?

    3. The attempt at a solution
    Please see attachment
     

    Attached Files:

  2. jcsd
  3. Dec 28, 2016 #2

    ehild

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    Your result is correct, and after getting V from the centripetal force, you can calculate T from V= 2(Pi)r/T.
     
  4. Dec 29, 2016 #3
    So either 1 is fine?
     
  5. Dec 29, 2016 #4

    ehild

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    Yes, either one. And there is an even simpler method to calculate the period.
    You have two equations, one for Fc in terms of ω, ##Fc=mrω^2## and one for Fg ##Fg=G\frac{mM}{r^2}##, : with Fc=Fg=3000 and m=500.
    Isolate r from one of them and substitute the expression for r into the other equation. No need to calculate the numerical value of r. You get the simple formula ##ω^2=\frac{6^3}{GM}##
     
  6. Dec 30, 2016 #5

    Ahh! Ok. Thank you so much for your help :)
     
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