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meri258

  • 2 years ago

By looking at distant galaxies, astronomers have concluded that our solar system is circling the center of our galaxy. The hub of this galaxy is located about 2.7 x 10^20 m from our sun, and our sun circles the center about every 200 million years. (convert to seconds). We assume that our sun is attracted by a larger number of stars at the hub of our galaxy, and that the sun is kept in orbit by the gravitational attraction of these stars. a) calculate the total mass of the stars at the bug of our galaxy. b) Calculate the approximate number of such stars that are the size of our sun. ~2E30KG

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  1. Shadowys
    • 2 years ago
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    you might want to use this \(P^2= \frac{4 \pi^2 a^3}{G(M1+M2)}\)where M1=mass of the starhub and M2=mass of sun.

  2. meri258
    • 2 years ago
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    What does "P^2 stand for in that equation?

  3. Shadowys
    • 2 years ago
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    the square of the period. sub it all in and find M1.

  4. Shadowys
    • 2 years ago
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    http://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion#Third_law

  5. meri258
    • 2 years ago
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    Thanks!

  6. Shadowys
    • 2 years ago
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    you're welcome :)

  7. meri258
    • 2 years ago
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    For part a, I got 2.9E56 Kg, but on the answer key provided by my teacher says 2.9E41Kg. I solved it twice and I am getting the same answer.

  8. Shadowys
    • 2 years ago
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    nope, i'm getting your answer's key's answer. \(M1+M2=\frac{(2.7 \times 10^{20})^3(4 \pi^2)}{6.673 \times 10^{-11}(200000000\times365\times24\times60\times60)} \)

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