Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. let’s look at some gravitational potentials

Let’s look at some gravitational potentials and the density profiles that can generate them. i) For ρ(r)...

60.1K

Verified Solution

Question

Physics

Let’s look at some gravitational potentials and the densityprofiles that can generate them.

i) For ρ(r) = ρ◦r ◦^2/r^2 , what is the correspondinggravitational potential?

ii) For Φ(r) = −GM/[b + √ (b ^2 + r ^2)], what is thecorresponding density profile?

iii) For Φ(R, z) = Φ◦ln[ (R ◦^2+R ^2+(z ^2/q^2))/R◦^2 ], what isthe corresponding density profile ρ(R, z)? In this expression, theconstant q controls the axis ratio of the potential, where q = 1would be spherically symmetric and q < 1 means that thepotential is “flattened” a bit along the z-axis. Does somethingstrange happen along the z axis if q < 0.7 ?

Answer & Explanation Solved by verified expert
3.7 Ratings (586 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

Iron is an important item for the growth of microorganisms in a pathogenic state in the...

Chemistry
1.2K views

Charlotte P. Gilman's \"The Yellow Wallpaper.\" In \"The Yellow Wallpaper\" what does the woman behind the wallpaper...

Basic Math
1.2K views

Consider a binomial experiment with n=5 and p=0.20 What is Var(x)?

Biology
1.2K views

A Flexion of the hand B Extension of the forearm Involuntary movement of the fingers...

Basic Math
1.2K views

1 5 Side 1 N Find the missing side indicated if the line is tangent...

Calculus
1.2K views

White an iterated integral of a continuous function f over the following region The region...

Calculus
1.2K views

1 Solve the Initial Value Problem by using the Laplace Transform Show all your calculations...

Accounting
1.2K views

Benoit Chemical Company (BCC) produces a variety of specialty chemicals used in the pharmaceutical industry...

Accounting
1.2K views

Question Content Area Equipment was purchased on January 5, Year 1, at a cost...

Accounting
1.2K views

Calculate the gross profit percentage for the following information Sellall Department Stores reported the...

Finance
1.2K views

Please help too complete all colored boxes in the excel spreadsheet ...

Finance
1.2K views

(Calculating project cash flows and NPV) The Guo Chemical Corporation is considering the purchase of...