Calculate Spring Constants: 0.400 and 0.225 Joules

  • Thread starter Thread starter Roger_Hurst
  • Start date Start date
  • Tags Tags
    Constants Spring
Click For Summary
SUMMARY

The discussion focuses on calculating the potential energy stored in a spring with a spring constant of 500.0 N/m. The potential energy is calculated using the formula PE = 0.5 * k * x², where k is the spring constant and x is the displacement from equilibrium. For a displacement of 4.00 cm (0.04 m), the potential energy is 0.400 Joules, and for a displacement of 3.00 cm (0.03 m), the potential energy is 0.225 Joules. These calculations demonstrate the relationship between displacement and potential energy in springs.

PREREQUISITES
  • Understanding of Hooke's Law
  • Familiarity with the formula for potential energy in springs (PE = 0.5 * k * x²)
  • Basic knowledge of units of measurement (meters, Joules)
  • Ability to perform unit conversions (e.g., cm to m)
NEXT STEPS
  • Study Hooke's Law and its applications in mechanical systems
  • Explore the derivation of potential energy formulas for springs
  • Learn about energy conservation principles in mechanical systems
  • Investigate real-world applications of spring constants in engineering
USEFUL FOR

Students in physics, mechanical engineers, and anyone interested in understanding the principles of potential energy in springs and their applications in real-world scenarios.

Roger_Hurst
Messages
1
Reaction score
0
Can someone please just explain to me how to do this? I feel helpless.

A spring has a force of 500.0 N/m. Show that the potential energy stored in the spring is as follows:

a.) 0.400 Joules when the spring is stretched 4.00cm from equilibrium.
b.) 0.225 Joules when the spring is compressed 3.00cm from equilibrium.
 
Physics news on Phys.org
You should know the formula for a spring's potential 'stored' energy. Or you can derive if from the fact that the work done in dispacing a spring from its equilibrium oposition to a distance X is equal to the negative of its potential energy change.
 

Similar threads

Distribution of Energy when work is done on a system of 2 masses connected by a spring
  • · Replies 17 ·
Replies
17
Views
2K
Why is my method for finding the spring constant incorrect?
  • · Replies 17 ·
Replies
17
Views
3K
What is the Relationship Between Force and Spring Constant?
  • · Replies 14 ·
Replies
14
Views
4K
Force transmitted to a block in viscous fluid through a spring, cord, and pulley
  • · Replies 6 ·
Replies
6
Views
1K
Calculating the spring force constant K
  • · Replies 14 ·
Replies
14
Views
2K
Find spring constant k using an electrical circuit
  • · Replies 10 ·
Replies
10
Views
3K
Final velocity of two blocks between a spring
  • · Replies 2 ·
Replies
2
Views
3K
Question about springs and rotational/translational energy
  • · Replies 4 ·
Replies
4
Views
2K
Multiple choice Q: Mangetic fields and Spring Constant
  • · Replies 8 ·
Replies
8
Views
2K
A rocket on a spring, related to potential/kinetic energy
  • · Replies 3 ·
Replies
3
Views
2K