(Figure 1) shows the potential-energy diagram and the total energy line of a particle oscillating on a spring. The left end of the spring is fixed at x = 0 cm. Figure Energy (J) 20- 15 10- 5- 0 PE 12 16 20 24 28 < TE 1 of 1 ..x (cm) >

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question

what will be the turning points if the particle's total energy is doubled? express  in cm...enter in ascending order...separate by comma

# Potential-Energy Diagram of a Particle on a Spring

### Figure 1: Potential and Total Energy in a Spring

#### Description
Figure 1 shows the potential-energy (PE) diagram and the total energy (TE) line of a particle oscillating on a spring. The left end of the spring is fixed at \( x = 0 \, \text{cm} \).

#### Detailed Diagram Explanation
The diagram depicts the relationship between the potential energy of a particle and its position along the spring, which oscillates. The x-axis represents the position of the particle (\( x \)) measured in centimeters (cm). The y-axis represents the energy in joules (J).

In the graph:
- **The blue curve** represents the potential energy (PE) of the particle. Potential energy is dependent on the position and has a parabolic shape, indicating it’s at its minimum value when the particle is at the equilibrium position (around \( x = 20 \, \text{cm} \)). As the particle moves away from the equilibrium position, its potential energy increases.
- **The horizontal red line** represents the total energy (TE) of the system, which is constant throughout the motion. This implies that as the potential energy varies, the kinetic energy must adjust to maintain this constant total energy.

#### Key Observations
- At the equilibrium position, the potential energy of the particle is at its minimum.
- The total energy is constant and is the sum of the potential energy and the kinetic energy varying in a complementary manner.

This graphical representation helps in understanding the conservation of energy within a harmonic oscillator, where the total energy is distributed between kinetic and potential energy but remains overall constant.
Transcribed Image Text:# Potential-Energy Diagram of a Particle on a Spring ### Figure 1: Potential and Total Energy in a Spring #### Description Figure 1 shows the potential-energy (PE) diagram and the total energy (TE) line of a particle oscillating on a spring. The left end of the spring is fixed at \( x = 0 \, \text{cm} \). #### Detailed Diagram Explanation The diagram depicts the relationship between the potential energy of a particle and its position along the spring, which oscillates. The x-axis represents the position of the particle (\( x \)) measured in centimeters (cm). The y-axis represents the energy in joules (J). In the graph: - **The blue curve** represents the potential energy (PE) of the particle. Potential energy is dependent on the position and has a parabolic shape, indicating it’s at its minimum value when the particle is at the equilibrium position (around \( x = 20 \, \text{cm} \)). As the particle moves away from the equilibrium position, its potential energy increases. - **The horizontal red line** represents the total energy (TE) of the system, which is constant throughout the motion. This implies that as the potential energy varies, the kinetic energy must adjust to maintain this constant total energy. #### Key Observations - At the equilibrium position, the potential energy of the particle is at its minimum. - The total energy is constant and is the sum of the potential energy and the kinetic energy varying in a complementary manner. This graphical representation helps in understanding the conservation of energy within a harmonic oscillator, where the total energy is distributed between kinetic and potential energy but remains overall constant.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Kinetic energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON