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A galaxy has a spherical mass distribution The stars, which contain a small fraction of the t...
Galaxies contain both stars and dark matter. The mass M of a galaxy that is located...
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...
Answer the questions below by assuming the spherical mass distribution of dark matter in our Galaxy,...
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...
Globular clusters are spherical clusters of stars that orbit a galaxy, some of the older ones...
Globular clusters are spherical clusters of stars that orbit a galaxy, some of the older ones in the Milky Way are 13 Gyr old. At what distance would these globular clusters cease to spiral into the galactic nucleus due to the effects of dynamical friction if it has a mass of 6×106M⊙ and an orbital speed of 230 km/s?
s A point source directly behind a galaxy, at double the observer-gala tationally lensed by the galaxy's potential...
s A point source directly behind a galaxy, at double the observer-gala tationally lensed by the galaxy's potential into an Einstein ring. The symmetic, and has a fiat rotation curve, vi) -e. The bending angle ing through a spherical mass distribution with imact parameter r from the distib distance d, is gra Answer 2.4 x 10 a light center is 4GMicr) where M(cr) is the mass enclosed within r a Find the angular radius y of the Einstein ring, in...
Stars in elliptical galaxies move like the bulge or halo stars in spiral galaxies. a. Why...
Stars in elliptical galaxies move like the bulge or halo stars in spiral galaxies. a. Why can’t the rotation curve method to determine mass be used for elliptical galaxies? b. Masses of elliptical galaxies are often derived from their velocity dispersions. This part illustrates how a velocity dispersion can be determined: The intrinsic line-width of a K giant star might be 0.5 Å at a central wavelength λ0 = 5000 Å. Suppose an elliptical galaxy is observed which has a...
Which observation(s) is evidence that most of the stars, gas, and dust in our galaxy is in a thin disk? Select all...
Which observation(s) is evidence that most of the stars, gas, and dust in our galaxy is in a thin disk? Select all that apply O Radio, X-ray,and gamma ray observations show gas in a band across the sky O Infrared observations show dust in a band across the sky O Individual stars appear in a band across the sky O Globular clusters appear in all directions on the sky Question 15 1pts Which observation(s) provide evidence that our galaxy formed...
1) The missing mass problem is a) starlight is observed, but there is no evidence of...
1) The missing mass problem is a) starlight is observed, but there is no evidence of mass b) the amount of mass measured is less than the amount of light measured c) starlight follows the same distribution as mass d) there are indications of mass from motion but no light e) spacetime is warped by mass 2) The rotation curve of the Galaxy is a) flat in the core, planet-like in the disk b) wheel-like in the core, flat in...
2. Derive the temperature profile T (R) for a spherical blackbody and a disk blackbody (assuming...
2. Derive the temperature profile T (R) for a spherical blackbody and a disk blackbody (assuming constant luminosity in both cases). Hint: this is similar to what we saw in class, but solving for T instead of R! Make a plot of T(R) vs. R, and show both profiles on the same plot. (3 pts) 3. Suppose an electron emitted a bremsstrahlung photon around an iron nucleus, instead of a free proton. Would the X-ray energy of the photon be...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge com...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge component, σ, such that log,o MBH8.0+40logo 200km/ The gravitational radius, Ra. (in a sense the "sphere of influence") of a black hole can be defined by the distance from the center at which the orbital speed of a star due to the black hole alone (i.e. neglecting...
The lower disk in the figure has a mass of 440 ? and a radius of...
The lower disk in the figure has a mass of 440 ? and a radius of
3.5 ?? and is rotating at 180 ??? on a frictionless shaft of
negligible radius. The upper disk, which is initially not rotating,
has a mass of 270 ? abd a radius of 2.3 ??, and is dropped onto the
lower disk. Assume no friction between the shaft and the disks. a.
Determine their common rotation speed after the drop (in ???). b.
The...
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...
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...
s A point source directly behind a galaxy, at double the observer-gala tationally lensed by the galaxy's potential into an Einstein ring. The symmetic, and has a fiat rotation curve, vi) -e. The bending angle ing through a spherical mass distribution with imact parameter r from the distib distance d, is gra Answer 2.4 x 10 a light center is 4GMicr) where M(cr) is the mass enclosed within r a Find the angular radius y of the Einstein ring, in...
Which observation(s) is evidence that most of the stars, gas, and dust in our galaxy is in a thin disk? Select all that apply O Radio, X-ray,and gamma ray observations show gas in a band across the sky O Infrared observations show dust in a band across the sky O Individual stars appear in a band across the sky O Globular clusters appear in all directions on the sky Question 15 1pts Which observation(s) provide evidence that our galaxy formed...
2. Derive the temperature profile T (R) for a spherical blackbody and a disk blackbody (assuming constant luminosity in both cases). Hint: this is similar to what we saw in class, but solving for T instead of R! Make a plot of T(R) vs. R, and show both profiles on the same plot. (3 pts) 3. Suppose an electron emitted a bremsstrahlung photon around an iron nucleus, instead of a free proton. Would the X-ray energy of the photon be...
3. Tremaine et al. (2002) have shown that supermassive black holes in the nuclei of galaxies follow a relation between black hole mass, MB, and the velocity dispersion of the host galaxy bulge component, σ, such that log,o MBH8.0+40logo 200km/ The gravitational radius, Ra. (in a sense the "sphere of influence") of a black hole can be defined by the distance from the center at which the orbital speed of a star due to the black hole alone (i.e. neglecting...
The lower disk in the figure has a mass of 440 ? and a radius of
3.5 ?? and is rotating at 180 ??? on a frictionless shaft of
negligible radius. The upper disk, which is initially not rotating,
has a mass of 270 ? abd a radius of 2.3 ??, and is dropped onto the
lower disk. Assume no friction between the shaft and the disks. a.
Determine their common rotation speed after the drop (in ???). b.
The...
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