Forces on a Spring: Calculate Force and Energy

  • Thread starter Thread starter B2k
  • Start date Start date
  • Tags Tags
    Forces Spring
Click For Summary
SUMMARY

The discussion focuses on calculating the force exerted by a spring with a spring constant of 150 N/m when compressed by 2 cm, as well as determining the potential energy of the spring and the frequency period of a 100 g mass oscillating on it. The force can be calculated using Hooke's Law, F = kx, where k is the spring constant and x is the compression distance. The potential energy stored in the spring can be found using the formula PE = 1/2 kx². For the oscillation period, the formula T = 2π/ω is applicable, where ω is the angular frequency, which can be derived from the mass and spring constant.

PREREQUISITES
  • Understanding of Hooke's Law and its application in spring mechanics
  • Knowledge of potential energy calculations in elastic systems
  • Familiarity with simple harmonic motion (SHM) concepts
  • Ability to manipulate formulas involving angular frequency and oscillation periods
NEXT STEPS
  • Study Hooke's Law and its implications in real-world applications
  • Learn how to calculate potential energy in various mechanical systems
  • Research the principles of simple harmonic motion and its equations
  • Explore the relationship between mass, spring constant, and oscillation frequency
USEFUL FOR

Students in physics, mechanical engineers, and anyone interested in understanding spring dynamics and oscillatory motion.

B2k
Messages
4
Reaction score
0
Hi,

Ok so here's my problem...

A force F causes a spring with spring constant of 150N/m to compress by 2 cm. Determine the force exerted by and the potential energy of the spring (obv. p=mgh) before and after compression.

Determine the frequency period of the oscillation of a 100g mass oscillating on the spring.

So basically I can't find any similar questions in my textbook and none of my answers seems plausible. You guys are my last resort! :L:D
 
Last edited:
Physics news on Phys.org
What do you mean "force exerted by PE of spring"? It seems as though you only need Hooke's law here for the force.

For the 2nd one, it's pretty straightforward. There should be a formula for period/frequency in your text for SHM.
 
the first part i can do no problem.. the second part i keep getting answers that look way out.. formula i had was t=2(pie)/w which i think was ok.. but w was a problem as i couldn't get a correct answer when i used a=w2s
 

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
Calculating the spring force constant K
  • · Replies 14 ·
Replies
14
Views
2K
Problem with when to use Force and Energy. What compresses spring/
  • · Replies 3 ·
Replies
3
Views
2K
Why can we move the spring with constant speed when we apply a force?
  • · Replies 29 ·
Replies
29
Views
3K
A block dropping onto a spring system
  • · Replies 58 ·
2
Replies
58
Views
3K
Spring Problem Involving Variables and Constants Only
  • · Replies 3 ·
Replies
3
Views
2K
Block on slope. Different answers using energy vs forces
  • · Replies 5 ·
Replies
5
Views
1K
A rocket on a spring, related to potential/kinetic energy
  • · Replies 3 ·
Replies
3
Views
2K
Question about springs and rotational/translational energy
  • · Replies 4 ·
Replies
4
Views
2K
Solving a Spring-Mass-Box System:Energy Conservation
  • · Replies 1 ·
Replies
1
Views
2K