Need to find the spring constant

• christianhood
In summary, the conversation discusses finding the spring constant for a vertical spring with varying masses and measured lengths. The equation Fs = k | l - l0| is mentioned, where Fs is the spring force, k is the spring constant, l is the length of the spring, and l0 is the initial length of the spring. The conversation also suggests looking at the equation F = kX and determining the spring constant using the slope of the graph. It is concluded that the initial length does not affect the determination of the spring constant.
christianhood

Homework Statement

A series of masses are hung from a vertical spring and the length is measured in each case to the nearest milimeter. Data below:

Mass : Spring Length
050g : 40.2cm
100g : 45.8cm
150g : 50.9cm
200g : 56.4cm
250g : 61.4cm
300g : 66.9cm
350g : 73.7cm
400g : 81.2cm

I need to find the spring constant.

Homework Equations

Fs = k | l - l0| ,
where
Fs = Spring Force
k = spring constant
l = length of spring
l0 = initial length of spring

The Attempt at a Solution

I know that Fs = Fg = mass / 100 (using g = 10 N/kg).
I just don't know how to get the constant because I don't know what the initial spring length is (it's not 0).

Think about the equation F = kX for a moment. What kind of graph does that make? What one of those letters represents the slope of that graph?

Can you put those hints together to figure out a way to determine the spring constant?

AEM said:
Think about the equation F = kX for a moment. What kind of graph does that make? What one of those letters represents the slope of that graph?

Can you put those hints together to figure out a way to determine the spring constant?

Oh, okay. It's the same for any initial length. Thanks :)

What is a spring constant?

A spring constant, also known as a force constant, is a measure of the stiffness of a spring. It represents the amount of force needed to stretch or compress a spring by a certain distance.

How do you calculate the spring constant?

The spring constant can be calculated by dividing the force applied to the spring by the displacement of the spring. This can be represented by the equation F = kx, where F is the force, k is the spring constant, and x is the displacement.

What are the units of spring constant?

The units of spring constant depend on the units used to measure force and displacement. In the SI system, the units of spring constant are N/m (newtons per meter). In the English system, the units are lbf/in (pounds-force per inch).

Why is the spring constant important?

The spring constant is important because it helps us understand how a spring will behave when a force is applied to it. It also allows us to predict the displacement of the spring for a given force, and vice versa.

How does the spring constant affect the motion of an object?

The spring constant affects the motion of an object by determining the strength of the force that the spring exerts on the object. A higher spring constant means a stronger force and a larger displacement, while a lower spring constant means a weaker force and a smaller displacement.

• Introductory Physics Homework Help
Replies
29
Views
998
• Introductory Physics Homework Help
Replies
10
Views
968
• Introductory Physics Homework Help
Replies
3
Views
1K
• Introductory Physics Homework Help
Replies
2
Views
3K
• Introductory Physics Homework Help
Replies
5
Views
2K
• Introductory Physics Homework Help
Replies
3
Views
1K
• Introductory Physics Homework Help
Replies
19
Views
1K
• Introductory Physics Homework Help
Replies
7
Views
3K
• Introductory Physics Homework Help
Replies
1
Views
2K
• Introductory Physics Homework Help
Replies
2
Views
1K