Understanding Potential Energy Functions: A Brief Overview

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Potential energy functions describe the energy stored in a system based on its position within a field. To evaluate a potential energy function U(x, y) at a specific point, substitute the coordinates (x, y) into the function. The problem presented is straightforward, involving the calculation of U at given values. Understanding the relationship between position and potential energy is crucial for solving related problems. Mastery of these concepts is essential for tackling more complex physics challenges.
muna580
I just don't understand the whole concept of the whole potential engry thing.

How do I do this problem?

http://img83.imageshack.us/img83/7340/untitled1tl6.jpg
 
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Well, this one is extremely simple. You have a function of two variables U(x, y). How do you find a value of the function at some point (x, y)?
 
I dont' know.
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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