Satellite experiencing certain gravitational force - problem

  • #1

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)
 

Answers and Replies

  • #2
ehild
Homework Helper
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It is correct, do you have any questions?
 

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