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Satellite Gravitational Forces

  1. Dec 18, 2011 #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.

    a) Find the radius of the circular orbit
    b)Find the Speed of the Satellite
    c) Find the period of the orbit

    2. Relevant equations

    g=GM1M2/r2
    Fc=Mv2/r
    V=2∏r/T

    3. The attempt at a solution

    a)g=GM1M2/r2
    Fnet = GM1M2/r2
    r=√(6.67x10-11)(5.98x1024)(500)/3000 N)
    r=8.15x106


    b)3000 N= (500)V2/(8.15x106)
    V=6994 m/s (25, 178 km/hr)

    c) V= 2∏r/T
    T=2∏r/V
    T=7321.7 S (2.03 h)

    Does everything look okay, Im really usure of my understanding of gravitational forces.. Thanks!


    Fnet=MV2/r
     
  2. jcsd
  3. Dec 18, 2011 #2
    looks good to me
    I didn't check the numbers but your working seems fine

    is there anything specific that you don't understand about the gravitational force?
     
  4. Dec 18, 2011 #3
    I cant think of anythin specifically that confuses me i just taught it to myself today and i want to make sure its all logical and im not breaking rules etc. when doing calculations.. Thank you for your help and confidence boost!
     
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