Homework Help: Very quick help please

brad sue · Dec 13, 2005

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

Galileo · Dec 13, 2005

Use conservation of energy.

LeonhardEuler · Dec 13, 2005

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.

brad sue · Dec 13, 2005

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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Homework Help: Very quick help please

brad sue

Galileo

LeonhardEuler

brad sue