How Do You Calculate the Spring Constant?

In summary, the conversation discusses a simple problem involving a spring with a 300g mass and a 500g mass hanging from it, resulting in different lengths of the spring. The spring constant is determined using Hooke's Law and the equations provided, and the units of the spring constant are discussed.
  • #1
John O' Meara
330
0
I just have no idea how to approach this simple problem.
When a 300g mass is hung from the end of a vertical spring, the spring's length is 40 cm. With 500g hanging from it, its length is 50cm. What is the spring constant of the spring (N/m)?
 
Last edited:
Physics news on Phys.org
  • #2
How much did the length of the spring change?
How much did the mass change?

What are the units of the spring constant?
 
  • #3
John O' Meara said:
I just have no idea how to approach this simple problem.
When a 300g mass is hung from the end of a vertical spring, the spring's length is 40 cm. With 500g hanging from it, its length is 50cm. What is the spring constant of the spring (N/m)?
Hooke's Law relating spring force F to spring constant k, resting length x0, and stretched length x:

[tex] F \, = \, -k\{x - x_0\} [/tex]

2 equations in 2 unknowns:

[tex] \mbox{ (0.300 kg)(9.8 m/sec^2) } \ = \ -k \left \{ \mbox{ (0.40 m) } \, - \, x_0 \right \} [/tex]

[tex] \mbox{ (0.500 kg)(9.8 m/sec^2) } \ = \ -k \left \{ \mbox{ (0.50 m) } \, - \, x_0 \right \} [/tex]

solve for k.
 
Last edited:

1. What is a spring constant?

The spring constant, also known as the force constant, is a measure of how stiff or flexible a spring is. It is represented by the letter k and has the unit of Newtons per meter (N/m).

2. How is the spring constant calculated?

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

3. How does the spring constant affect the behavior of a spring?

The spring constant determines the amount of force required to stretch or compress a spring by a certain distance. A higher spring constant means the spring is stiffer and requires more force to stretch or compress, while a lower spring constant means the spring is more flexible and requires less force.

4. Is the spring constant the same for all types of springs?

No, the spring constant can vary depending on the type of spring. For example, a metal spring may have a higher spring constant than a rubber spring due to the different materials and structures used in their construction.

5. Can the spring constant change?

Yes, the spring constant can change if the physical characteristics of the spring, such as its length or material, are altered. Additionally, the spring constant may vary depending on the amount of force applied to the spring.

Similar threads

  • Introductory Physics Homework Help
Replies
29
Views
923
  • Introductory Physics Homework Help
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
335
  • Introductory Physics Homework Help
Replies
14
Views
349
  • Introductory Physics Homework Help
Replies
10
Views
907
  • Introductory Physics Homework Help
Replies
1
Views
674
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
863
  • Introductory Physics Homework Help
Replies
27
Views
6K
Back
Top