What is the spring constant for a given set of scale readings and x coordinates?

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SUMMARY

The discussion focuses on calculating the spring constant (k) using the formula k = -F/x, where F represents force and x represents the change in length. Participants analyze a set of scale readings and corresponding x coordinates, ultimately concluding that the spring constant can be determined using two measurements. The correct calculation method involves taking the difference in force and the difference in length, leading to a spring constant of approximately 3 N/m. The forum emphasizes the importance of understanding the relationship between force, spring constant, and displacement.

PREREQUISITES
  • Understanding of Hooke's Law and its formula k = -F/x
  • Basic knowledge of force measurements in Newtons (N)
  • Familiarity with linear relationships in physics
  • Ability to perform basic arithmetic calculations
NEXT STEPS
  • Learn how to apply Hooke's Law in various scenarios
  • Explore the concept of elastic potential energy in springs
  • Investigate the effects of different materials on spring constants
  • Study the principles of linear regression for data analysis in physics
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of elasticity and spring behavior.

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Homework Statement



determine the spring constant state results in SI units.

here is the chart. this isn't making sense to me.

Scale Reading vs x coordinate
1.05 N--55 cm
.75 N---45 cm
.90 N--50 cm
1.35 N--65 cm
1.20 N--60 cm
.6 N--40 cm

thats all the info i have. I'm just not getting a solid answer


Homework Equations



k=-F/x

The Attempt at a Solution



i've attempted many different times, each time coming up with a different spring constant ranging from -3.86 to 3.
 
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To determine the spring constant, you need to find out by how much increases the force exerted by the spring, if you stretch it by a certain length. By the formula, we see that the force increases linearly, so only two measurements are enough to find out the spring constant.
 
kbaumen said:
To determine the spring constant, you need to find out by how much increases the force exerted by the spring, if you stretch it by a certain length. By the formula, we see that the force increases linearly, so only two measurements are enough to find out the spring constant.

ya I'm not really sure what your trying to say there...can you clarify what you mean by "you need to find out by how much increases the force exerted"?

i assure you this is all the info i have
 
Oo360oO said:
ya I'm not really sure what your trying to say there...can you clarify what you mean by "you need to find out by how much increases the force exerted"?

i assure you this is all the info i have

It really is enough info. Do you know what F, k and x are in the equation you've mentioned?
 
Oo360oO said:
ya I'm not really sure what your trying to say there...can you clarify what you mean by "you need to find out by how much increases the force exerted"?

i assure you this is all the info i have

you need to find out by how much increases the force exerted means that if you stretch the spring (pull it, increase it's length) then it's trying to reset the original length, therefore pulling its ends with a certain force.
 
What the formula means is;

The Force applied to something = Spring constant * The change in length (when that force is applied)

You have the force applied, you have the change in length, just bash it into your calculator, if your still struggling show us your working
 
Why are you so sure you don't have the right answer already? What methods are you using to determine different answers?
 
so is it just 3 N/m?

or do i not take the change in force?

(1.05 N-.9 N)/(.55-.50 m)

edit:i don't think I'm doing right because I'm getting different answers on this website everytime
http://www.calculatoredge.com/new/hookelaw.htm
 
Oo360oO said:
so is it just 3 N/m?

or do i not take the change in force?

(1.05 N-.9 N)/(.55-.50 m)

edit:i don't think I'm doing right because I'm getting different answers on this website everytime
http://www.calculatoredge.com/new/hookelaw.htm

Looks correct to me.
 

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