Finding elastic constant given mass and elongation

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Homework Help Overview

The discussion revolves around a lab scenario involving a spring, where a known mass is suspended, and the goal is to find the elastic potential energy and the spring constant, K, based on the mass and the elongation of the spring.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to relate the elastic potential energy and the spring constant but struggles with the two-variable equation. Some participants suggest using the force equation F = kx to assist in isolating the spring constant.

Discussion Status

Participants are exploring different formulas related to springs and gravitational force. There is a productive exchange where one participant confirms the relationship between force and mass, indicating a potential path forward for the original poster.

Contextual Notes

The original poster expresses difficulty in substituting variables to simplify their equations, indicating a possible gap in understanding how to manipulate the relationships between the variables involved.

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Homework Statement


I'm doing a lab where a known mass is suspended by a spring. All that is known is the mass of the weight used and the length of the elongation of the spring, and I need to find the elastic potential energy of the spring and the spring constant, K.


Homework Equations


(formatted text links aren't clicking for me?)
Elastic PE = 1/2Kx^2--x normally applies to the elongation of the spring though it is extending in the y direction in this case

Gravitational PE = 9.81mh

GPE + EPE = Total PE/KE (energy is assumed to be conserved)


The Attempt at a Solution


The problem is I have two variables and no way I can see to substitute for one of them to simplify the equation, so I don't know how to isolate a spring constant or the elastic potential energy.
 
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You need the other spring formula, F = kx.
 
Ah, that should help. is that force found with Mass*g*x?
Thanks for the help thus far.
 
The F is mass*g.
Solve for k.
 
lol you're right-- after I thought about it, I realized it was just m*g. I'll be able to finish it up , and now I'm sure you want to get to some more questions so have a good night;)
 

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