Stationary 57031

Determine the distance of a stationary satellite from the Earth's surface.

Correct answer:

x =  35857.0907 km

Step-by-step explanation:

R=6380 km m=6380 1000  m=6380000 m T=24 h s=24 3600  s=86400 s k=6.67259 10116.67261011 kg/m2 M=5.972 1024=5.9721024 kg  ω=2π/T=2 3.1416/864000.0001 1/rad  F1=F2  F1=k (R+x)2m M F2=mω2 (R+x)  k (R+x)2m M=mω2 (R+x) k M=ω2 (R+x)3  x1=3ω2k MR=30.000126.67261011 5.9721024638000035857090.6608 m  x=x1 km=x1:1000  km=35857090.6608:1000  km=35857.091 km=35857.0907 km=3.586104 km

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