Is My Satellite Gravitational Forces Homework Correct?

AI Thread Summary
The homework involves calculating the radius, speed, and period of a satellite in orbit, given a gravitational force of 3000 N. The radius was calculated to be approximately 8.15 million meters, with a satellite speed of 6994 m/s, and an orbital period of about 7321.7 seconds or 2.03 hours. The calculations utilize gravitational force and centripetal force equations effectively. The original poster expresses uncertainty about their understanding of gravitational forces and seeks confirmation on their calculations. Overall, the responses indicate that the calculations appear correct and logical.
HarleyM
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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
 
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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?
 
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!
 
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