Finding the force from given potential energy

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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.
bfusco
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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.
 
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bfusco said:

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.
How are Force and potential related?
 

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