A 500 kg satellite experiences a gravitational force of...

  • Thread starter LionLieOn
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  • #1
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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.
c) Find the Period of the orbit

Homework Equations


So found the period using (Please see the attachment to review my work.) but I also found it by using (V=D/T)
V= 2(Pi)r/T

I was wondering if there's any difference?

The Attempt at a Solution


Please see attachment
 

Attachments

Answers and Replies

  • #2
ehild
Homework Helper
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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.
c) Find the Period of the orbit

Homework Equations


So found the period using (Please see the attachment to review my work.) but I also found it by using (V=D/T)
V= 2(Pi)r/T

I was wondering if there's any difference?

The Attempt at a Solution


Please see attachment
Your result is correct, and after getting V from the centripetal force, you can calculate T from V= 2(Pi)r/T.
 
  • #3
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Your result is correct, and after getting V from the centripetal force, you can calculate T from V= 2(Pi)r/T.
So either 1 is fine?
 
  • #4
ehild
Homework Helper
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1,907
So either 1 is fine?
Yes, either one. And there is an even simpler method to calculate the period.
You have two equations, one for Fc in terms of ω, ##Fc=mrω^2## and one for Fg ##Fg=G\frac{mM}{r^2}##, : with Fc=Fg=3000 and m=500.
Isolate r from one of them and substitute the expression for r into the other equation. No need to calculate the numerical value of r. You get the simple formula ##ω^2=\frac{6^3}{GM}##
 
  • #5
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Yes, either one. And there is an even simpler method to calculate the period.
You have two equations, one for Fc in terms of ω, ##Fc=mrω^2## and one for Fg ##Fg=G\frac{mM}{r^2}##, : with Fc=Fg=3000 and m=500.
Isolate r from one of them and substitute the expression for r into the other equation. No need to calculate the numerical value of r. You get the simple formula ##ω^2=\frac{6^3}{GM}##

Ahh! Ok. Thank you so much for your help :)
 

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