Finding the force from given potential energy

Thread starter bfusco
Start date Mar 10, 2012
Tags

Energy Force Potential Potential energy

AI Thread 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.

Mar 10, 2012

bfusco

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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Mar 10, 2012

SammyS

Staff Emeritus

Science Advisor

Homework Helper

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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