When to Use f = -dU/dx with External Energy Sources?

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In summary, at time 3:45 to 3:49 in the above video, the formula ##\frac{-dU}{dx}## is used. In response to a comment asking about using this formula when an external source of energy is present, it is explained that in this case, the gain in kinetic energy of the slab is equal to the change in field energy of the capacitor, and the sum of the two is the work done by the battery, so using the formula will not make a difference. The person answering suggests asking the original questioner for further clarification. The thread is then closed.
  • #1
gracy
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In the above video , at time 3:45 to 3:49 he used the formula ##\frac{-dU}{dx}##
There is a comment which says
How can u use f=- du/dx. In case when there is external source of energy?

And answer given to this comment is as follows

In this case we can do this. As here you can calculate and see that the gain in kinetic energy of slab is exactly same that of the change in field energy of capacitor and sum of the two is the work done by battery so it
will not make any difference.


I don't understand the question as well as answer . Why we can't use ##\frac{-dU}{dX}## when external source of energy is present?
 
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  • #2
gracy said:
I don't understand the question
You should ask the person who asked the question. We would just be guessing

It is hard enough to answer your own questions to your satisfaction that I do not think that it will be productive for us to try and answer someone else's question to your satisfaction.

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Related to When to Use f = -dU/dx with External Energy Sources?

1. What is the purpose of the f=-(du/dx) formula?

The f=-(du/dx) formula, also known as the force equation, represents the relationship between force and potential energy. It is used to calculate the force acting on an object by taking the negative derivative of the potential energy function with respect to position.

2. When should I use the f=-(du/dx) formula?

The f=-(du/dx) formula should be used when you need to calculate the force acting on an object in a given system. It is commonly used in mechanics and physics to solve problems involving potential energy and force.

3. How is the f=-(du/dx) formula derived?

The f=-(du/dx) formula is derived from the fundamental theorem of calculus, which states that the derivative of a function is equal to the slope of its tangent line. In this case, the potential energy function is differentiated with respect to position to find the force acting on the object.

4. Can the f=-(du/dx) formula be used for any type of potential energy function?

Yes, the f=-(du/dx) formula can be used for any type of potential energy function. It is a general formula that applies to all systems, regardless of the type of force or potential energy involved.

5. What are the units for the f=-(du/dx) formula?

The units for the f=-(du/dx) formula depend on the units used for force and potential energy in the given system. Typically, force is measured in Newtons (N) and potential energy is measured in Joules (J), resulting in the units for the force equation to be N/m.

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