Satelite orbit distance

  • #1
Feodalherren
605
6

Homework Statement


A 320kg satellite experiences a gravitational force 800N. What is the radius of the satellite's orbit?


Homework Equations


G m1m2 / d^2


The Attempt at a Solution


I started with

800N = (G(320kg)(5.98(10^24)kg) / d^2

After some algebra and rounding I ended up with d = 40,000 km. Is that reasonable?
 

Answers and Replies

  • #2
SHISHKABOB
541
1
when I put 40,000 km into the original equation and solve for the force I get around 79.77N

what value did you use for G?
 
  • #3
Feodalherren
605
6
I think the standard for any calculations in classical mechanics is kg and meters. So perhaps if you try 40,000,000m.

I used 6.67 x 10 ^-11 for G.
 
  • #4
Feodalherren
605
6
Shameless bump. Still need help.
 
  • #5
SHISHKABOB
541
1
I kept trying again and again but I am getting 12k kilometers

[itex]d = \sqrt{\frac{GMm}{F}}[/itex]

yes?

so


[itex]d = \sqrt{\frac{(6.67*10^{-11}N*(\frac{m^{2}}{kg^{2}}))(5.98*10^{24}kg)(320kg)}{800 N}} = 1.26*10^{7} m[/itex]

maybe you can point out where our calculations differ? I might be doing something hilariously incorrect.
 
  • #6
Feodalherren
605
6
No, you're right. I re-did the calculation again and paid proper attention to parenthesis this time. I'm just not calculator savvy at all.
 

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