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- Thread starter MIA6
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dynamicsolo

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You would want to use the more general conservation of energy equation

KE_i + PE_i + W = KE_f + PE_f .

This takes care of situations where either an external force is doing positive work (from, say, some applied force) or negative work (from, for example, friction or air drag).

The work-kinetic energy theorem has more limited applications, as does the corresponding work-potential energy theorem ([tex]W = -\DeltaPE[/tex]), since each assumes the other form of energy isn't changing.

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You would want to use the more general conservation of energy equation

KE_i + PE_i + W = KE_f + PE_f .

This takes care of situations where either an external force is doing positive work (from, say, some applied force) or negative work (from, for example, friction or air drag).

The work-kinetic energy theorem has more limited applications, as does the corresponding work-potential energy theorem ([tex]W = -\DeltaPE[/tex]), since each assumes the other form of energy isn't changing.

First, here can the

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dynamicsolo

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First, here can theWyou refer to be either the work done by conservative force or non-conservative force? Because on my book, it says that work done by conservative force is Wcon=-Delta PE, you said this, too, but must Wc=-delta PE, can I find work done by conservative force using the formula that you gave which go back to my first question, in addition, my book has the same formula as the one you gave, but the work my book refers to is Wnon-conservative, so I am sort of confused.

If work is conservative, that means (among other things) that the sum KE + PE (called the

Non-conservative work means the sum KE + PE does change during the process; positive work will increase this sum, while negative work will decrease it. Various processes may cause that change only in KE, or only in PE, or in both of them. That's why this equation is more generally applicable than either of the work-energy theorems.

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dynamicsolo

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Gravitation and electromagnetism are examples of conservative forces. As you found, a conservative force has a number of properties: the path-independence of such forces is equivalent to the property of making no change in mechanical energy.

Friction and air drag are non-conservative forces because the amount of work they do on an object is dependent on details like the velocity of the object and the total distance the object moves (rather than just the net displacement).

A force internal to a system does no net work because it will involve a pair of forces acting according to Newton's Third Law on two components of the same system. Since the forces will be equal in magnitude but opposite in direction, the net work adds to zero.

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Okay. thank you. For what kind of problem, there is only potential energy associated within, no kinetic energy so that we use Wcon=-deltaPE? Because my book says the work done by gravity as the object moves from point 1 to point 2 is equal to the negative of the difference in potential energy, which is -delta PE. But since gravity is a conservative force, is the net work supposed to be 0 which conserves the total energy as you said? And also in that case, an object drops to the ground, there is also kinetic energy associated within? And do you mean that if there is net work, the force that does the work must be non-conservative?

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