1. Dec 13, 2005 #1

   brad sue

   

   Hi I need help for this problem very quick,please!
   
   A particle moving along the x axis is acted upon by a single force F=F₀*e^-kx, where F₀ and k are constants. The particle is released from rest at x=0.
   
   What is the maximun kinetic energy it can attain?
   
   The answer is F₀/k but I dont know how to get it.
   Thanks
   B

    

   brad sue, Dec 13, 2005
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3. Dec 13, 2005 #2

   Galileo

   

   Science Advisor

   Homework Helper

   Use conservation of energy.

    

   Galileo, Dec 13, 2005
4. Dec 13, 2005 #3

   LeonhardEuler

   

   Gold Member

   By the work-energy theorem the change in kinetic energy of a particle is equal to the net work done on it. Over an infinitisimal distance [itex]dW=\vec{F}\cdot d\vec{s}[/itex]. To get the total work, you have to integrate. The particle starts at rest at x=0 and we want to know the highest kinetic energy it could ever reach. You should be able to figure out what limits to integrate over.

    

   LeonhardEuler, Dec 13, 2005
5. Dec 13, 2005 #4

   brad sue

   

   Thank you very much.

    

   brad sue, Dec 13, 2005

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