(R1 2.4) Suppose the stars in our galaxy have constant orbital speed, v = 220 km...
Galaxies contain both stars and dark matter. The mass M of a galaxy that is located within a certain star's orbit is given by where v is the velocity of the star, r is the distance from the galaxy's center to the star, and G is Newton's gravitational constant, 6.673 x 10- N m/kg Stars near the edge of a particular galaxy have velocities of 259 km/s. The radius of the galaxy is 53 kpc. How much mass is in...
3. The Milky Way's Dark Matter Halo The Milky Way's rotation curve is approximately a constant, v(r) ~220 km/s, for 5 20 kpc, This constant circular velocity cannot be explained by the observed distribution of luminous mass Instead, we propose that the Milky Way is embedded in a roughly spherical dark matter halo. (a) Calculate M(r), the enclosed mass of the spherical dark matter halo as a function of r in the range 5< T < 20 kpc, assuming the...
Answer the questions below by assuming the spherical mass distribution of dark matter in our Galaxy, where the Galactic radius is 100,000 light years, the distance of the solar system from the center is 27,000 light years, and the constant orbital speed of stars is 220 km s1. Use the gravitational constant 6.674 x 10-11 N m2 kg2, light year 9.46 x 1015 m, and solar mass 2.0 x 1030 kg. 1. show the mass of dark matter inside radius...