Is My Satellite Gravitational Forces Homework Correct?

[HarleyM]

Homework Statement

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

g=GM1M2/r²
Fc=Mv²/r
V=2∏r/T

The Attempt at a Solution

a)g=GM1M2/r²
Fnet = GM1M2/r²
r=√(6.67x10^-11)(5.98x10²⁴)(500)/3000 N)
r=8.15x10⁶


b)3000 N= (500)V²/(8.15x10⁶)
V=6994 m/s (25, 178 km/hr)

c) V= 2∏r/T
T=2∏r/V
T=7321.7 S (2.03 h)

Does everything look okay, I am really usure of my understanding of gravitational forces.. Thanks!


Fnet=MV²/r

 

[genericusrnme]

looks good to me
I didn't check the numbers but your working seems fine

is there anything specific that you don't understand about the gravitational force?

 

[HarleyM]

I can't think of anythin specifically that confuses me i just taught it to myself today and i want to make sure its all logical and I am not breaking rules etc. when doing calculations.. Thank you for your help and confidence boost!