Net 48N Force Stretches .5m Spring to .78m

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Homework Help Overview

The discussion revolves around a spring that stretches under applied forces, specifically examining how a net force of 48 Newtons affects its length. The subject area includes concepts of spring mechanics and Hooke's Law.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between force, spring constant, and extension using Hooke's Law. Questions arise about the correct method to calculate the spring constant and the implications of using the original length in calculations.

Discussion Status

Participants are actively engaging with the problem, with some providing calculations for the spring constant and discussing the implications of different values. There is a recognition of the need to clarify assumptions regarding the spring's natural length and the extension length.

Contextual Notes

There is a focus on the original length of the spring and how it relates to the extension caused by the applied forces. Some participants express uncertainty about the correct values to use in their calculations.

c4iscool
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how would I set this up: a spring that is .5m in length elongates by .03m when a 4 Newton force is exerted to stretch the spring. what is the total length of the spring(in m) when a net 48 Newton force is used to stretch the spring?
 
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F=kx where x is the length of extension, k is the spring constant. From here you can find k right? With the k you can find for the extended length at 48N and not forgetting the original length.
 
k = F/L. that would make k=8?
 
I'm not sure how you got 8 but it's not correct. To find k, F/x => 4/0.03 and so the spring constant is 133.3N/m. From here are you able to continue?
 
o, i c. i was using .5m as x.
 
now that I have the constant, it should look like this:
f=k*x
48=133.3*x and I solve for x?
 
You canot use 5m to find the spring constant, because at 5m, it is the natural length of th spring, and there is no force acting on it to provide the 5m.

Yes, and this x you get is only the length of extension, and the question wants the total length so I guess it's pretty easy from here!:wink:
 
thanks for your help
 

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