anonymous
  • anonymous
If the value for k for planets moving around our sun is 3.35 *10^18 m^3s^2, what would the period of a planet be if its average radius to the sun is 3.2*10^8?
Physics
schrodinger
  • schrodinger
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schrodinger
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anonymous
  • anonymous
I believe you're familiar with Kepler's third law, \(\frac{T^2 }{r^3}=k\)?
anonymous
  • anonymous
T^2 = 4pi^2/GM a^3?
anonymous
  • anonymous
Yeah, but you don't need that complicated equation here since k is given as 3.35 *10^18 m^3s^2.

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anonymous
  • anonymous
will it be about 1.05 ?
anonymous
  • anonymous
You used this? \(r^3 = \frac{10.24 \times 10^{16}}{3.35 \times 10^{18}}\)
anonymous
  • anonymous
T = K a^3 sqrt/3.35E18 * (3.2E8)^3
anonymous
  • anonymous
because they want to find T right?
anonymous
  • anonymous
yea my answer is wrong -_- lol
anonymous
  • anonymous
lol yh sorry about that. Eyes get blurry in a hurry. \(1.05 \times 10^{21} s\) yup you're right.

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