Universal Gravitation

  • Thread starter Sheneron
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  • #1
Sheneron
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[SOLVED] Universal Gravitation

Homework Statement



Jupiter's closest moon, Io has a mass of 8.90 x 10^22 kg. The mean radius of Jupiter is 6.99 x 10^7m, the mean distance from the center of Jupiter to the center of Io is 4.22 x 10^8m, and the mass of Jupiter is 1.90 x 10^27.

A) Determine the gravitational froce
B)Find the period of Io

The Attempt at a Solution



I solved for F_G and got = 6.334 x 10^22

Then I set up my equation like so:

[tex] F_G = \frac{m_{Io}4\pi^2(R)}{T^2} [/tex]

My question is, for R in the above equation would I just use the distance between the center of masses, or the distance between the center of mass minus the radius of Jupiter? I am sure it is the center of masses, but why is Jupiter's radius in the problem then...
 

Answers and Replies

  • #2
Dick
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Probably to tempt you to make the mistake of NOT using the center to center distance. Resist that temptation.
 
  • #3
Sheneron
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Tricky indeed. Thanks
 

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