- #1
bfusco
- 126
- 1
Homework Statement
If U=3x^2+2xy+4y^2z, what is the force, ?
The Attempt at a Solution
i don't have a clue what to do.
Finding the force from given potential energy
- Thread starter bfusco
- Start date
Click For Summary
To find the force from the given potential energy function U = 3x^2 + 2xy + 4y^2z, one must use the relationship between force and potential energy, where force is the negative gradient of potential energy. This involves calculating the partial derivatives of U with respect to each variable (x, y, z) and applying the formula F = -∇U. The discussion highlights confusion regarding the application of this principle and the necessary steps to derive the force. Understanding the relationship between force and potential energy is crucial for solving such problems. Properly applying calculus concepts will lead to the correct expression for the force.
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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