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

by torquey123
Tags: altitude, determining, earth, satellite, surface
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torquey123
#1
Jan6-07, 01:03 PM
P: 4
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

26010000r=3.990190282e14

r= 15340985.32 - 6370000= 8970985.321m = 8970.985321km

i think its wrong, but i dont know where i made the mistake..
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torquey123
#2
Jan6-07, 01:05 PM
P: 4
never mind...i figured it out when i typed it out...i didnt convert back to km :o


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