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Andromeda Galaxy, M31, is considered a sister galaxy to Milky Way galaxy. One similarirty is their...

Andromeda Galaxy, M31, is considered a sister galaxy to Milky Way galaxy. One similarirty is their masses

(a) Astronomers have used orbiting satellite galaxies to calculate the mass. At a distance of 190 kpc from the center of M31, the circular velocity of these objects is 150 km/s. Using the measurements and tools that astronomers use, calculate the total mass of M31 in units of the mass of the Sun, M. Watch your units in your calculations! Here are few pieces of additional information that you will find helpful: the gravitational constant, G= 6.67×10E−11m^3/kg/s^2, 1 pc = 3.086×10^16m, 1 M= 1.99×10^30kg.

(b) The amount of mass seen in stars is 1.0 x 10 ^11 M solar masses. how does this compare to the total amount of mass you calculated in the first part? (take a ratio)

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Answer #1

a)

Orbital distance of satellite is

Orbital velocity of satellites is

b)

Amount of mass seen in stars is

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