Differentiation of potential energy

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Homework Help Overview

The problem involves determining the radial force between two particles based on their potential energy, which is defined as U(r) = (A)/(r^4). The focus is on applying differentiation to find the force from the potential energy function.

Discussion Character

  • Mathematical reasoning, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the differentiation of the potential energy function to find the force, with one participant attempting to find the antiderivative and questioning the need for division by two due to the two-particle system. Others suggest using the partial derivative and rethinking the expression for U(r) to facilitate differentiation.

Discussion Status

The discussion is ongoing, with participants exploring different methods of differentiation and clarifying the correct approach to obtain the force. There is no explicit consensus yet, but suggestions for re-examining the potential energy function have been made.

Contextual Notes

Participants express varying levels of familiarity with calculus, which may affect their understanding of the differentiation process. There is also a mention of the need to consider the two-particle nature of the system in the calculations.

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Homework Statement



The potential energy of a system of two particles separated by a distance r is given by U(r) = (A)/(r^4), where A is a constant. Find the radial force that each particle exerts on the other. (Use A and r as appropriate in your equation.)

Homework Equations



F=-dU/dx
U is potential energy

The Attempt at a Solution



i figured out the antiderivative of U(r) is -(A)/(3*r^(3)) but it isn't the correct answer.
what else do u need to do besides the antiderivative which is equal to force. since it is 2 particles should i divide the U(r) funciton by 2?
 
Last edited:
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you actually want the partial derivative of r
 
ok but how do u get that? I am rather new at the whole calculus thing. wud it just b A/3r^3?
 
Think of U(r) as A*(r^-4) then try to differentiate it...
 

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