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Determining the satellite's altitude above the surface of the Earth

  1. Jan 6, 2007 #1
    1. The problem statement, all variables and given/known data

    A satellite moves in a circular orbit around the Earth at a speed of 5.1km/s.
    Determine the satellite's altitude above the suface of the Earth. Assume the Earth is a homogenous sphere of radius Rearth= 6370km, and mass Mearth=5.98x10^24 kg. You will need G=6.67259x10^(-11) Nm^2/kg^2. Answer in units of km

    2. Relevant equations

    v^2=(G*Mass of earth)/(radius)

    3. The attempt at a solution

    (5100 km/s)^2 = (6.67259x10^(-11))(5.98x10^(24))/r


    r= 15340985.32 - 6370000= 8970985.321m = 8970.985321km

    i think its wrong, but i dont know where i made the mistake..
  2. jcsd
  3. Jan 6, 2007 #2
    never mind...i figured it out when i typed it out...i didnt convert back to km :eek:
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