Conservation of energy and conservation of momentum

Click For Summary

Homework Help Overview

The discussion revolves around deriving the spring constant \( k \) using the principles of conservation of energy and conservation of momentum within the context of a mass-spring system. Participants are exploring the relationships between kinetic energy, momentum, and the spring constant in a potentially relativistic scenario.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to relate kinetic energy to momentum but struggles with the change in momentum. There are questions about the definitions of symbols used in the problem, particularly regarding mass and velocity.

Discussion Status

Participants are actively questioning the definitions of terms and the setup of the problem. Some express curiosity about the implications of relativistic effects on simple harmonic motion, while others indicate a shift in approach is necessary. There is no explicit consensus on the method to derive the spring constant.

Contextual Notes

There are indications that the problem may involve relativistic considerations, which adds complexity to the discussion. Some participants express frustration over the lack of clarity in the definitions provided in the question.

sauri
Messages
51
Reaction score
0
Using both cinservation of energy and conservation of momentum, show that the spring constant k is given by k=2mg/H[1+mg/(m+M)H]

I thought that this would go easier if I rewrote the expression for kinetic energy in terms of momentum, but I can't exactly get around figuring the change in momentum to build an equation. would (m1v1/2) be correct?
 
Physics news on Phys.org
Do you have defintions for your symbols?
 
as in initial mass and initial velocity?
 
sauri said:
as in initial mass and initial velocity?

"Initial mass?" : Perhaps you'd better tell us what the question is.

-Dan
 
topsquark said:
"Initial mass?" : Perhaps you'd better tell us what the question is.

-Dan

Hmm, a mass spring system oscillating at close to the speed of light. I've never done relativistic effects with SHM before...could be interesting...
 
It seems I have taken a wrong approach. I need to show that the spring constant k can be given by 2mg/H[1+mg/(m+M)H] using thr conservation of energy and momentum.
 
Does the question not give you any definitions for the symbols used?
 
I worked it out. No matter
 
sauri said:
I worked it out. No matter

:mad: Then at least have the decency to tell us! You've got ME curious, anyway.

-Dan
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
Replies
2
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
Replies
10
Views
3K
Replies
21
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
55
Views
6K
Replies
24
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K