1. Limited time only! Sign up for a free 30min personal 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!

Conservative forces and systems

  1. Feb 9, 2013 #1
    I read in a book that if the constraint forces do work, the system is conservative, else it's nonconservative. In that case, consider a system of two bodies moving in an elliptical path under gravitational attraction. Since the gravitational force is continuously doing work on the particles, by the above definition, gravitation is a nonconservative force and the system is nonconservative. However, the mechanical energy of the system remains constant and in newtonian mechanics, gravitation is classifed under conservative force. Can someone explain where am I going wrong.
  2. jcsd
  3. Feb 9, 2013 #2


    User Avatar

    Staff: Mentor

    Are you counting the kinetic and potential energy of the orbiting object?
  4. Feb 10, 2013 #3
  5. Feb 10, 2013 #4


    User Avatar
    Science Advisor

    What book did you read this in?
  6. Feb 11, 2013 #5

    Gravity is not a constraint force.

    The term 'constraint force' is used to describe forces that essentially act to impose boundary conditions. An example is the reaction force of the ground on you, stopping you falling through it.

    Generally these forces don't do work, since they don't act through any distance.

    So the question of them being conservative or non-conservative is meaningless.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook