Answered: A galaxy with a spherically symmetric… | bartleby

Related questions

Question

Transcribed Image Text:A galaxy with a spherically symmetric distribution of matter has a mass density profile of the type p(r) ∞ 1/r, where r is the radial coordinate from the centre of the galaxy. To what type of circular velocity (r) does this correspond? Select one: a. (r) O b. c. O d. (r) ~ r (r) ~ √r (r): = constant

Expert Solution

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

3. An elevator starts from the third floor and moves downward. The v-t graph of a person riding the elevator is given below: t₁ = 0.9 s,t₂ = 1.9 s, t3 = 4.5 s, tv = 7.7 s, v = -1.0 m/s Velocity (m/s) (a) Draw FBD for the person riding the elevator for following cases: Speeding Constant moving Time (s) Slowing (b) What is the apparent weight (in N) of a 50.0 kg person when he/she is slowing down? (Use g = 10 N/kg). Speeding Constant moving Slowing
Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from Earth. If the lifetime of a human is taken to be 85.0 years, a spaceship would need to achieve some minimum speed Umin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between Umin and the speed of light c. C- Umin = m/s
A.) i. Define the plane polar unit vectors ŕ and 0 and show that they are orthonormal. Determine dr dê and de de ii. Hence show that for the vector r(t) = r(t)ŕ dr · = rî +rðê, d²r and = - dt dt² († − rė²)ŕ + (2ŕė +rë)ê . iii. If a mass m moves in the plane along r(t) = a and (t) = 5t determine the shape of the motion and find its period. B) Show that the motion of an object under the universal gravitational force μη Fg is governed by the radial and angular equations of motion and μ = 0, 2r0+ rö = 0. Setting r(t) =R for some constant R, solve these equations of motion and determine the period of the motion. C) Consider the following non-linear differential equation *+5= x +4. Find the stationary solutions. Expand around each of the stationary so- lutions that you have found, in order to determine if they correspond to stable or unstable equilibria. D) Show that 1 5 E = 2 - 4x is a conserved quantity. Hence draw the phase-space diagram and de- termine for which values of E oscilations…
Washington, D.C., is located at about 750 W longitude and 380 N latitude. San Francisco is near 1270 W longitude and 380 N latitude. Estimate how many minutes later the Sun rises in San Francisco than inWashington, D. C. How far apart would you estimate these cities to be? Assume that the earth’s radius is 6400 km. One day has 1440 minutes and of course the earth rotates 360 degrees around its axis in one day
1. A mole contains 6.02 * 1023 particles (atoms, molecules, etc.). If you wanted to reach an unkown planet (4.367 light-years away) by creating a strand of carbon atoms (0.3 nm diameter), how many moles of carbon would you need? (Note: 1 light-year = 9.46 * 1012 km)
B 3. Given the lengths of vectors A, B, and C, and the angle between A and B. Notice that A = B + С. Prove the law of cosines: |C|² = |Ã₁² + |B|² - 2|A||B| Cos 0. Then, show that if A and B are perpendicular, the law of cosines reduces to the familiar Pythagorean theorem.
You want to get bright spot on the screen that is the shape of the number 5 . What should you do to achieve this ? Why?
30. Suppose ,m) is a common eigenvector of î² and î₂ . Then î²|l,m) = Î₂|l,m) = Î ± |l,m) = = (1,m|L²|1',m) (1,m|L₂|I',m') (1,m|L₂|1',m') = =
A space probe with a diameter of 2.50m is moving past Saturn's moon Enceladus. An observational platform on Enceladus measures the shortest length of the ellipsoidal probe to be 1.25m. How fast is the probe moving relative to the moon? a) .999c b) .995c c) .957c d) .883c e) .866c
help on this please!!
Please answer in Bold.
1. Find the centroid. The disk has radius 2ft and the hole has radius 0.5ft. y

SEE MORE QUESTIONS