Potential Energy: Find Force, Equilibrium & Conditions

[betty0202]

Homework Statement

The potential energy of a system of two particles separated by a distance X is given by the equation below, where A,B,U0 are constant.

U(X)=U0exp{[-(x/A)-1)((x/B)-]}
(a). Find the force F(x) that each particle exerts on the other.
(b). show that the is a X where the system is in equilibrium
(c). find the conditions U0,A,B need to hold in order to maintain the balance you found in (b).

Homework Equations

F=-dU/dx
U is potential energy

The Attempt at a Solution

(a).

(b).

(c).

am I suppose to insert

and then solve?thanks

 

[Hiranya Pasan]

yes you need to insert x to

and then take the inequality d^2U/dx^2 >0 and find an expression which inoves U0, a and b.

 

[betty0202]

thank U