How Do You Calculate the Speed of a Satellite in Orbit?

[Neek 007]

Homework Statement

Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of 3600 km.

Homework Equations

v²=Gm/r
F=(Gm₁m₂/r²
g=(Gm)/r²
G=6.67x10^-11Nm²/kg²
r_E=6380km=6.3x10⁶m----(Radius of Earth)
m_E=5.98x10²⁴kg---------(Mass of Earth)

The Attempt at a Solution

Changed height of satellite to 3.6x10⁶m
I think I can assume the height as the radius.

I come up on blanks on what to do from here.

 

[kk727]

The gravitational attraction must provide the centripetal acceleration for the circular orbit:

GMEm/R2 = mv2/R

So,

v2= GME/(RE + h)

And yes, the height/radius are the same. Just plug in the info you have and solve!