Elastic potential energy and natural length of a spring- relation?

Click For Summary

Homework Help Overview

The discussion revolves around the relationship between elastic potential energy, the natural length of a spring, and related concepts such as spring constant and strain. Participants are exploring the properties of springs, particularly in the context of their breaking points.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are examining the relationship between the spring constant and natural length, questioning how these relate to changes in extension. There are inquiries about common properties of springs at their breaking points.

Discussion Status

The discussion is active, with participants confirming the relevance of strain and force at the breaking point of springs. There is an ongoing exploration of the relationships and properties involved, but no consensus has been reached.

Contextual Notes

Some participants are considering the implications of unknown quantities and the specific conditions under which springs behave similarly at their breaking points.

Stormzy67
Messages
2
Reaction score
0
Homework Statement
The question states, a spring of length 0.5m is can be extended by 0.05m before fracturing, storing elastic energy ‘U’. Now, another spring of the same material but of half the length(0.25) is also stretched to its maximum extension.
What will be the new elastic energy in terms of ‘U’?
Relevant Equations
F=kx , E=1/2 kx^2, Young’s modulus?
I figured out that the spring constant is inversely proportional to the natural length, but there’s still an unknown change in a quantity( most likely extension).
 
Physics news on Phys.org
Is there something that’s the same for both springs at the point where they break?
 
The strain?
 
Stormzy67 said:
The strain?
Yes. Also, the force.
 

Similar threads

To find the velocity of a mass attached to the midpoint of a spring
  • · Replies 2 ·
Replies
2
Views
2K
Solving a Spring-Mass-Box System:Energy Conservation
  • · Replies 1 ·
Replies
1
Views
2K
Relationship between diameter and elastic potential energy of a wire
  • · Replies 7 ·
Replies
7
Views
4K
Question about springs and rotational/translational energy
  • · Replies 4 ·
Replies
4
Views
2K
A weight is suspended from a spring and oscillates between positions A and B
  • · Replies 11 ·
Replies
11
Views
3K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
  • · Replies 17 ·
Replies
17
Views
2K
Shm , calculation of amplitude of spring mass system
  • · Replies 3 ·
Replies
3
Views
2K
Force components for mass attached to two springs
  • · Replies 15 ·
Replies
15
Views
2K
Why is the elastic potential energy in position 2 zero?
  • · Replies 6 ·
Replies
6
Views
2K
Why can we move the spring with constant speed when we apply a force?
  • · Replies 29 ·
Replies
29
Views
3K