Calculating the Force Constant of a Spring

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Homework Help Overview

The discussion revolves around calculating the force constant of a spring and its application in projectile motion. Participants explore the relationship between force, displacement, and the equations governing spring mechanics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to graph force versus displacement to determine the spring constant, questioning the appropriate axes for the graph. There is also inquiry into the relationship between spring stretch and projectile motion, with attempts to clarify the problem setup and equations involved.

Discussion Status

Several participants have provided insights into the equations related to spring mechanics and projectile motion. There is ongoing clarification of the original poster's questions, with some participants suggesting potential equations to use. However, there is no explicit consensus on the best approach yet.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information provided and the methods discussed. There is a mention of a specific textbook being used, which could influence the context of the problem.

marshall4
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How do i find the force constant of a spring with a Newton meter?
Do i graph the force applied vs. distance of stretch? What is on the x-axis, what is on the y-axis?

How do i find an equation for the amount of skretch needed for on spring on a projectile, with the horizontal distance, angle of the projectile, mass and force constant given?
 
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What kind of textbook are you using in your school?
 
Originally posted by marshall4
How do i find the force constant of a spring with a Newton meter?
Do i graph the force applied vs. distance of stretch? What is on the x-axis, what is on the y-axis?
F = kd
k = F/d
Now that you know the formula, it's easy to figure it out. Plot force on the Y axis and displacement on the x axis. The slope of the graph will give you the k value.


Your second question is difficult to understand. Can you reword it or say it differently?
 
Originally posted by PiRsq
What kind of textbook are you using in your school?

Nelson Physics 12
Why?
 


Originally posted by ShawnD



Your second question is difficult to understand. Can you reword it or say it differently?

I'm launching a spring off the end of an angled launch pad (projectile) at angle Өtheta, i want to find how long i have to skretch the spring in order for the spring to go x metres in the horizontal distance.

i think i use the equation ½mv²=½kx² to find the velocity. Then I use that velocity in the equation d=[v²sin2(theta)]/g, to find the horizontal distance. Does that sound right, or is there an easier equation?
 
Last edited:
Combine the equations to get the result

Range = (kx2 sin 2θ)/mg

I can't see it getting any easier.
 
Checkout Sample Problem #4 on pg 209
 

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