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Satellite Acceleration Problem

  • Thread starter Cursed
  • Start date
39
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1. Homework Statement

Synchronus communications satellites are placed in a circular orbit that is 3.59 x 107 m above the earth's surface. What is the magnitude of the acceleration due to gravity at this distance?

F=?
G=6.67259 x 10-11 N*m2/kg2
ME (Mass of Earth)= 5.98 x 1024 kg
r = 3.59 x107m

2. Homework Equations

F = (G*m1*m2)/(r2)
F = MA

3. The Attempt at a Solution

1) F = G * (ME2/r2) = 1.8514...N
2)F = MA --> (1.8514...N) = (5.98 x 1024)A
3) A = 0.309 m/s2

CORRECT ANSWER: 0.233 m/s2
 

Answers and Replies

Doc Al
Mentor
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In Newton's law of gravity, r is the distance from the center of the earth, not the distance from the surface.
 
39
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In Newton's law of gravity, r is the distance from the center of the earth, not the distance from the surface.
Ah, there's the problem. :P

Thanks. :D
 

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