1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gravitation energy of a spherical shell

  1. May 6, 2016 #1
    I am asked to find the total gravitational energy of a hollow sphere using the fact that the field energy density is given by ##u_g = \frac{-1}{8\pi G}g^2##.

    Now, ##g = \frac{Gm}{r^2}## in this case and substituting gives ##u_g = \frac{-GM^2}{8 \pi r^4}##. Integrating this over volume will give ##U = \iiint \frac{GM^2}{8 \pi r^4} dv = \frac{-GM^2}{2R}##.

    Is my solution correct?
     
  2. jcsd
  3. May 6, 2016 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    Yes, that looks correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Gravitation energy of a spherical shell
  1. Spherical shell (Replies: 6)

  2. Spherical shells (Replies: 3)

  3. Spherical Shell (Replies: 3)

Loading...