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Very quick help please

  • Thread starter brad sue
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  • #1
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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
 

Answers and Replies

  • #2
Galileo
Science Advisor
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Use conservation of energy.
 
  • #3
LeonhardEuler
Gold Member
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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.
 
  • #4
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LeonhardEuler said:
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.
Thank you very much.
 

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