Gravitational force, Speed, and period of a Satellite.

[Imuell1]

Homework Statement

A satellite that has a mass of 300 kg moves in a circular orbit 5.00 X 10⁷ m above Earth's surface. (a) What is the gravitational force on the satellite? (b) What is the speed of the satellite? (c) What is the period of the satellite?

Homework Equations

F_g= GM_Em/(r+r_E
T²= [4pi²/G(M_E+m)]*(r+r_E)³

The Attempt at a Solution

F_g= 38N
T=37 hours
V=9572517 m/h

I think the gravitational force might be right but the speed and period seem to be ridiculously too large.

 

[Dweirdo]

37 is not so much :D
a broadcasting satellite ,which has period of 24 hours around earth(like the Earth around it self!) has a distance of 3.6*10^7 meters from the surface of the Earth AFAIK.
But didnt get the same V as You did,did You write T as seconds?(37*60*60
EDIT1:
Oh I did, didn't see Your units ,You better solve it with seconds, and not m/h
EDIT2:
How did the mass of the satellite get to the equation of period?