Finding the radius of the satellite's circular orbit

[Specter]

Homework Statement

My title was supposed to say "Finding the radius of the satellites circular orbit" but I can't seem to edit it.
<< Mentor Note -- Title fixed for you >>

A 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth.

a) Find the radius of the circular orbit.
b)Find the speed of the satellite.
c)Find the period of the orbit.

Homework Equations

r=√Gm₁m₂/g

The Attempt at a Solution

I think I have the question set up properly but I can't figure out how to solve it on paper because my calculator won't do it. I keep getting a different answer than what the correct one is.

Part a)

r=√Gm₁m₂/g
r=√(6.67 x 10^-11)(5.98 x 10²⁴)(500)/3000

So the correct answer (at least what others are getting) is 8.15 x 10⁶ but I am getting 148859.74. I've tried putting it into my calculator a few different ways but I can't get the right answer. Do I have to do this on paper? If so, how?

b) I need to find the answer from part a to solve part b, but I know how to set up the question.

v²=Gm_e/r
v=√Gm_e/r

c) I am not sure how to do part c, but I think I need to solve part b before I can do this.

 

[haruspex]

At a guess, you are not using parentheses correctly in typing into the calculator. You certainly have not used them correctly in your post.
Please repost your equations with the right usage.

 

[Specter]

At a guess, you are not using parentheses correctly in typing into the calculator. You certainly have not used them correctly in your post.
Please repost your equations with the right usage.

r=√Gm₁m₂/g
r=√[(6.67 x 10^-11)(5.98 x 10²⁴)(500)]/3000

Is this better?

 

[haruspex]

r=√Gm₁m₂/g

Taken literally, that means r=(√G)₁m₂/g. I don't think that is what you mean.
Also, your g appears to stand for a force.

r=√[(6.67 x 10-11)(5.98 x 1024)(500)]/3000

and that is wrong.
Go back to the basic gravitational equation, F= etc., and start again.