Word done by (non)conservative force

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The discussion clarifies the relationship between work done by conservative and non-conservative forces, emphasizing that the work done by conservative forces results in changes in potential and kinetic energy. It confirms that the net work done by all forces equals the change in kinetic energy, illustrated by a calculation showing a net gain of 20J. The conversation highlights that work done by non-conservative forces can affect kinetic energy but does not directly contribute to potential energy. Participants advise focusing on the mathematical relationships rather than trying to categorize contributions to energy types. Overall, understanding these principles is essential for analyzing mechanical energy changes in systems.
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In the following question, the answer is a
http://tinyurl.com/2musg7

My understanding is,
amount of work done of conservative force
=amount of decrease of potential energy
=amount of increase in kinetic energy

decreases of word done of nonconservative force
=decreases of mechanical energy of the entire system

Am I correct?
 
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Yes, you are right. a is the answer.

change in kinetic energy is the net work done by all forces... so that's -30J + 50J = 20J

change in mechanical energy is work done by all non-conservative forces = -30J
 
change in kinetic energy is the net work done by all forces... so that's -30J + 50J = 20J

But is that always the case that work done of the non-conservative force(-30J) will contribute to the kinetic energy, but not potential energy? I can' find this information in the reference book that I have.
 
jack1234 said:
But is that always the case that work done of the non-conservative force(-30J) will contribute to the kinetic energy, but not potential energy? I can' find this information in the reference book that I have.

Why do you say it only contributes to the kinetic energy and not potential energy? work done by non-cons. forces = change kinetic energy + change in potential energy.

The basic physics is:

Work done by all forces = change in kinetic energy

Work done by non-conservative forces + work done by conservative forces = change in kinetic energy

The above is the physics involved... the stuff below is just bookkeeping (ie math/algebra)

Work done by non-conservative forces = -work done by conservative forces + change in kinetic energy

now we introduce the idea of change in potential energy as -work done by cons. forces

Work done by non-conservative forces = change in potential energy + change in kinetic energy

I advise you not to think of it in terms of contributions to potential energy vs. contributions to kinetic energy... let the math take care of it...
 
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