Conservation of energy and conservation of momentum

AI Thread Summary
The discussion focuses on deriving the spring constant k using the principles of conservation of energy and momentum, specifically the formula k=2mg/H[1+mg/(m+M)H]. Participants express confusion about the definitions of symbols, particularly regarding initial mass and velocity. There is mention of the complexities introduced by relativistic effects in a mass-spring system oscillating at high speeds. One user acknowledges a misstep in their approach but ultimately claims to have worked out the problem. The conversation highlights the challenges of applying theoretical concepts to practical scenarios in physics.
sauri
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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?
 
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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
 
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