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Potential energy

  1. Dec 9, 2016 #1
    1. The problem statement, all variables and given/known data
    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).

    2. Relevant equations
    F=-dU/dx
    U is potential energy

    3. The attempt at a solution
    (a).
    1.png
    (b).
    1.png
    (c).
    1.png
    am I suppose to insert 1.png
    and then solve?


    thanks
     
  2. jcsd
  3. Dec 9, 2016 #2
    yes you need to insert x to 1-png.110166.png and then take the inequality d^2U/dx^2 >0 and find an expression which inoves U0, a and b.
     
  4. Dec 9, 2016 #3
    thank U
     
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