Solving a Central Force Motion Problem: Find E & L

[anirudh dutta]

Homework Statement

a body of mass 1kg moves under the influence of a central force with potential energy question V(r)= -exp(-3r/2)/5r²
.it is found to move under a circular orbit of radius 2 m

Homework Equations

find the total energy and the angular momentum

The Attempt at a Solution

 

[phyzguy]

You need to at least attempt to solve the problem if you expect help.

 

[anirudh dutta]

see, since i have the potential energy fn, i can calculate the force by calculating the negative of grad of V.
This force will be balanced by the centripetal corce i.e mv^2 /r. from here i can cal the velocity, v.
thus the angular mom is simply mvr and total energy is P.E+K.E

 

[phyzguy]

Sounds good. So what is your question?

 

[anirudh dutta]

firstly the mathematical calculation is very tedious. So is there sm another meathod

 

[phyzguy]

I don't know of a better way. It doesn't look that bad. If you have access to software like Mathematica, it will be a snap, but even without that it should be less than one page.

 

[cartonn30gel]

Your method seems correct and it's not tedious at all. You should be able to do it with pencil and paper just fine.