Finding Force in Potential Energy vs. Interatomic Distance graph

Click For Summary
SUMMARY

The discussion centers on calculating the force at specific points (A, B, and C) on a potential energy versus interatomic distance graph for a molecule. The relevant equation is F = -dU/dx, which indicates that the force is the negative derivative of potential energy with respect to interatomic distance. The user initially misinterpreted the question by not focusing on the term "magnitude," but later clarified that the force is related to the slope of the potential energy curve at those points. The correct approach involves analyzing the slope at points A, B, and C to determine the force's magnitude.

PREREQUISITES
  • Understanding of potential energy and interatomic forces
  • Familiarity with calculus, specifically derivatives
  • Knowledge of molecular interactions and atomic distances
  • Ability to interpret graphs in a physics context
NEXT STEPS
  • Study the concept of potential energy curves in molecular physics
  • Learn how to calculate derivatives in the context of physics
  • Explore the relationship between force and potential energy in different molecular systems
  • Review examples of interatomic forces and their graphical representations
USEFUL FOR

Students studying molecular physics, particularly those focusing on interatomic forces and potential energy relationships, as well as educators seeking to explain these concepts effectively.

gunster
Messages
6
Reaction score
0

Homework Statement



The figure below shows a graph of potential
energy versus interatomic distance for a particular molecule. Rank the magnitude of the
force at locations A, B, and C. (That is, which
is the greatest, which is smallest, and are any
of these equal to each other?)

http://img851.imageshack.us/img851/5526/captureyrd.png

Uploaded with ImageShack.us

Homework Equations



F = -dU/dx ?

The Attempt at a Solution



To be honest I really have no idea on this one :/. I thought I could find the force using the change of potential energy corresponding with change in interatomic distance but that does not give me the right answer.

It would seem more logical to calculate force based on R itself. Since it's interatomic, I assume force increased with decreasing R, but again that was wrong.Any ideas?

EDIT: Never mind. I realized my mistake and I did not read the "magnitude" word in the question. I figured out the right answer so this thread is no longer needed
 
Last edited by a moderator:
Physics news on Phys.org
You got the relevant equation right. You know that two atoms that might make up a molecule are attracted if they are far apart and if they get too close there is a repulsive force. You also know that that say the two atoms that make up a molecule will find some distance where they like to be separated where you could say the force goes to zero.

You have the points A, B, and C and you what to know the force at those points. From what I wrote and from what you probably know you should be able to come up with answers. What is the slope at points A, B, and C? F = -dU/dx

Good luck!
 

Similar threads

Replies
15
Views
2K
Replies
9
Views
920
  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
16
Views
4K
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
761