PartA The Large Magellanic Cloud is a small galaxy that orbits the Milky Way. It is currently orbiting the Milky . . . . . o Way at a distance of roughly 160000 light-years Use these values in the orbital velocity law to get an estimate of the Milky Way's mass within from the galactic center at a velocity of about 300 160000 light-years from the center. (The value you obtain is a fairly rough estimate because the km/s. orbit of the Large Magellanic Cloud is not circular.) Express your answer as a multiple of Sun's mass to two significant figures. (EEY - = - MMilky Way = \\' Mgun Request Answer v PartA Suppose you observe a star orbiting the galactic center at a speed of 1100 km/s in a circular orbit with a radius of 22 light-days. Calculate the mass of the object that the star is orbiting. Express your answer in solar masses to two significant figures. 8 0m 7 Mop; = \\' Msyn Request