Explore BrainMass

Explore BrainMass

    Mass under attractive force with angular momentum; determining energy and radius.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A particle of mass m moves under as an attractive central force Kr^4 with angular momentum l. For what energy will the motion be circular, and what is the radius of the circle? Find the frequency of radial oscillations if the particle is given a small radial impulse.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:41 pm ad1c9bdddf

    Solution Preview

    For circular motion:
    mv^2/r = Kr^4 .............(1)

    and angular momentum,
    l = mvr
    v = l/mr ............(2)
    Therefore, from equation (1) ...

    Solution Summary

    A step by step solution of the mathematics involved to determine angular momentum, circular motion, and radius is given.