Calculate Elongation of Spring Given K, Mass & Density

Click For Summary
SUMMARY

The elongation of a spring can be calculated using Hooke's Law, represented by the equation F = -kx, where F is the force applied, k is the spring constant (119 N/m), and x is the elongation. To find the force, one must use the weight of the wooden block, which is calculated by multiplying its mass (4.17 kg) by the acceleration due to gravity (approximately 9.81 m/s²). The density of the wooden block (695 kg/m³) is irrelevant to this calculation. Thus, the elongation can be determined by rearranging the equation to x = F/k.

PREREQUISITES
  • Understanding of Hooke's Law and its application in spring mechanics.
  • Basic knowledge of force calculations, specifically weight (F = mg).
  • Familiarity with units of measurement in physics, such as Newtons and kilograms.
  • Concept of gravitational acceleration (approximately 9.81 m/s²).
NEXT STEPS
  • Learn how to calculate weight using mass and gravitational acceleration.
  • Study the principles of Hooke's Law in more detail.
  • Explore examples of spring elongation calculations in physics textbooks.
  • Investigate the role of density in material properties, although not directly relevant to this problem.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and spring dynamics, as well as educators looking for clear examples of applying Hooke's Law in problem-solving scenarios.

dban33
Messages
11
Reaction score
0

Homework Statement


How do I find the elongation of a spring when just given K=119 N/m, mass of the wooden block it is attached to=4.17kg and the densty of the wooden block = 695 kg/m^3.


Homework Equations


I do not know what equation to use.


The Attempt at a Solution


I have not been able to make an attempt because I do not know what equation to start off with.
 
Physics news on Phys.org
dban33 said:

Homework Statement


How do I find the elongation of a spring when just given K=119 N/m, mass of the wooden block it is attached to=4.17kg and the densty of the wooden block = 695 kg/m^3.


Homework Equations


I do not know what equation to use.


The Attempt at a Solution


I have not been able to make an attempt because I do not know what equation to start off with.

You had the correct equation the first time you posted the question.

dban33 said:

Homework Equations


The equation I was trying to use was Fx=-kx
I do not think this is correct because my answer was wrong.

I'm curious why you multiplied 4.17 by 695?
 
Well I am trying to find the elongation of the spring. So the correct equation is F=-kx?
Does that mean that I change it to solve for x?? x= F/-k
I do not kno how to find the force for the equation if I only have the mass and density of the wooden block the string is attached to. I am completely lost!
 
dban33 said:
Well I am trying to find the elongation of the spring. So the correct equation is F=-kx?
Does that mean that I change it to solve for x?? x= F/-k
I do not kno how to find the force for the equation if I only have the mass and density of the wooden block the string is attached to. I am completely lost!

The density of the wooden block has nothing to do with this problem.
 

Similar threads

  • · Replies 52 ·
2
Replies
52
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 14 ·
Replies
14
Views
4K
Replies
17
Views
2K
Replies
29
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
26
Views
3K
Replies
24
Views
4K
  • · Replies 5 ·
Replies
5
Views
1K