A star near the visible edge of a galaxy travels in a uniform circular orbit. It is

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A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 40 000 ly (light-years) from the galactic center and has  speed of 275 km/s. 

(a) Estimate the total mass of the galaxy based on the motion of the star.

(b) The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 1011 solar masses. What fraction of the total mass of the galaxy is visible†, according to this estimate?

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