PLEASE ANSWER ALL QUESTIONS, 1,2 AND 3. THANK YOU 1. Among the globular clusters
ID: 283098 • Letter: P
Question
PLEASE ANSWER ALL QUESTIONS, 1,2 AND 3. THANK YOU
1. Among the globular clusters orbiting a distant galaxy, one is moving at 420 km/s and is located 11 kpc from the center of the galaxy. Assuming the globular cluster is located outside most of the mass of the galaxy, what is the mass of the galaxy? (Hint: Use the formula for circular velocity (V= square root of GM / r) . Remember to convert units to meters and kilograms.) Express your answer in billions of solar masses.
______billion solar masses.
2.
Radio Lobes. Cygnus A, the brightest radio source in Cygnus, is a pair of lobes with jets leading from the nucleus of a highly disturbed galaxy. Because the radio energy detected is synchrotron radiation, astronomers clude that the jets and lobes contain very-high-speed electrons, usually called relativistic electrons, spiraling through magnetic fields about 1000 times eaker than Earth’s field. The total energy in a radio lobe is about 1053 J — what you would get if you turned the mass of a million suns directly into energy. Using the energy for each radio lobe, calculate the total mass needed per lobe. Express your answer in units of millions of solar masses. (Hint: E = mc2, where E is energy, m is mass, and c = 3 × 108 ms [the speed of light].)
________million solar mass.
3.
Quasar Redshift II. The Hydrogen Balmer line H has a wavelength of 486.1 nm. It is shifted to 563.9 nm in the spectrum of 3C 273. For this quasar, find the apparent radial velocity v of the quasar. Express your answer in fractions of c (for example, v = 0.9 c).
v = c.
Is the quasar coming toward us or going away from us?
Explanation / Answer
Here r =11 kpc = 3.394 ×10^20 m
We know that orbital speed v = sqrt(GM/r)
420e3 = sqrt(6.67e-11*M/3.394e20)
(420e3)^2*3.394e20/6.67e-11 = M
= 8.976 *10^41 kg Answer
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