Orbiting particle with given potential. Find the total energy. Need help

[PanosP]

Homework Statement

(a) A light particle of mass m orbits in a circular orbit around a massive attractive centre with a potential that is given by

V(r) = Cr^2

(b) Using the equations for circular motion show that the total energy of such a particle must be given by

E = 2Cr^2

Use the Bohr postulate for the quantization L = mvr = nh(bar) in combination with the answer to part (a) to arrive at an expression for the energy associated with the allowed orbits in terms of the mass of the particle n and other constants.


I have no idea how to even begin this!

ANY help would be deeply appreciated!

thanks!

 

[tiny-tim]

Welcome to PF!

Hi PanosP ! Welcome to PF!

(try using the X² tag just above the Reply box )

(a) A light particle of mass m orbits in a circular orbit around a massive attractive centre with a potential that is given by

V(r) = Cr^2

(b) Using the equations for circular motion show that the total energy of such a particle must be given by

E = 2Cr^2

I have no idea how to even begin this!

Find the force from V(r), then use good ol' https://www.physicsforums.com/library.php?do=view_item&itemid=26"