Is the Normal Force in an Elevator Conservative?

Click For Summary

Homework Help Overview

The discussion revolves around the nature of the normal force experienced by a body inside an elevator, specifically whether it can be classified as a conservative force. Participants explore the implications of work done by the normal force during the ascent and descent of the elevator.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants examine the work done by the normal force during the elevator's movement, questioning the conditions under which the normal force might be considered conservative. They discuss scenarios involving changes in kinetic energy and the implications of work done over a closed path.

Discussion Status

The conversation includes various interpretations of the normal force's behavior in relation to conservative forces. Some participants suggest that the normal force is not conservative based on specific examples, while others prompt further examination of the criteria for conservative forces.

Contextual Notes

There is an ongoing exploration of the definitions and criteria for conservative forces, with participants questioning assumptions about the normal force's work in different scenarios. The discussion reflects a mix of perspectives on the implications of kinetic energy changes during elevator motion.

Caio Graco
Messages
40
Reaction score
2
Homework Statement
Can normal force work? If so, is it a conservative force?
Relevant Equations
There is no equation for normal force.
Consider a body inside an elevator. When it goes up and down, I believe that normal work (positive on the rise and negative on the descent). My question is: since the total work on the closed path is zero, can we say that the normal force is conservative?
 
Physics news on Phys.org
Caio Graco said:
Consider a body inside an elevator. When it goes up and down, I believe that normal work (positive on the rise and negative on the descent).
Simply not true. When accelerating down the elevator exerts a normal force that is still "up" (not negative) and large enough so that your acceleration matches the elevator's acceleration. If that were not the case, you would either hit the roof or, even worse, fall through the floor.

You need to think what the criterion for a conservative force is.
 
Caio Graco said:
Consider a body inside an elevator. When it goes up and down, I believe that normal work (positive on the rise and negative on the descent). My question is: since the total work on the closed path is zero, can we say that the normal force is conservative?
Suppose that you step into the elevator on the 2nd floor. The elevator is at rest. Your kinetic energy is zero.

You press the button labelled "3" and rise to the third floor. The elevator stops here. You press the button labelled "1" (or "G"). The elevator proceeds downward past the 2nd floor without stopping.

At the moment that the elevator passes the second floor is your kinetic energy greater than, less than or equal to what it was when you first pressed the "3" button? At this moment, is is the total work that has been done on you by the elevator positive, negative or zero?
 
jbriggs444 said:
Suppose that you step into the elevator on the 2nd floor. The elevator is at rest. Your kinetic energy is zero.

You press the button labelled "3" and rise to the third floor. The elevator stops here. You press the button labelled "1" (or "G"). The elevator proceeds downward past the 2nd floor without stopping.

At the moment that the elevator passes the second floor is your kinetic energy greater than, less than or equal to what it was when you first pressed the "3" button? At this moment, is is the total work that has been done on you by the elevator positive, negative or zero?

By the time the elevator passes the second floor, my kinetic energy is greater than it was at the beginning. So the total work on me is positive. And I believe this shows that the normal force is not conservative because there is at least one case, like this, in which in a closed trajectory the total work is not zero. Is this friend?
 
  • Like
Likes   Reactions: jbriggs444
Caio Graco said:
the normal force is not conservative because there is at least one case, like this, in which in a closed trajectory the total work is not zero
Yes.
 
  • Like
Likes   Reactions: Caio Graco

Similar threads

  • · Replies 57 ·
2
Replies
57
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
14
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
9
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K