Satellite experiencing certain gravitational force - problem

[MiniOreo1998]

Homework Statement

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

A) Find the radius of the orbit

B) Find the speed of the satellite

C) Find the period of the orbit

I found this set of questions a bit trickier, although am still confident that I've used each equation properly.

Any suggestions are more than welcome!

Homework Equations

Fg - G m1 m2 / r²

The Attempt at a Solution

A)

r = √ G m1 m2 / r₂
r = √ (6.67 x 10^-11) (5.98 x 10²⁴ (500) / 3000 = 8.15 x 10⁶
r = 8150 km

B)

Fc 3000 N = m v² / r
3000 N = (500) V² (8.14 x 10⁶) / 8.15 x 10⁶
v = √ (6.67 x 10^-11) (5.98 x 10²⁴) / 8.15 x 10⁶
v = 6995 m/s

C)

v = 2πr/v
T = 2 π (8.15 x 10⁶) / 6995
T = 7320 s (2 hours 2 minutes)

 

[ehild]

It is correct, do you have any questions?