What is the object's velocity when its potential energy is 2/3 E ?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter13: Vibrations And Waves
Section: Chapter Questions
Problem 14P: An object-spring system moving with simple harmonic motion has an amplitude A. (a) What is the total...
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  • What is the object's velocity when its potential energy is 2/3 E ?
**Text Transcription for Educational Website:**

An object of mass \( m \) attached to a spring of force constant \( k \) oscillates with simple harmonic motion. The maximum displacement from equilibrium is \( A \) and the total mechanical energy of the system is \( E \).

**Explanation:**

This passage describes a classic physics scenario involving simple harmonic motion (SHM). Key terms include:

- **Mass \( m \)**: This is the mass of the object attached to the spring.
- **Spring constant \( k \)**: This is a measure of the spring's stiffness.
- **Maximum displacement \( A \)**: Also known as the amplitude, it is the farthest distance the object moves from its equilibrium position.
- **Total mechanical energy \( E \)**: In an ideal, frictionless system, this energy is conserved and comprises both potential energy (when the spring is compressed or stretched) and kinetic energy (when the object is moving).

This concept is fundamental in understanding oscillatory systems in physics, such as pendulums, vibrations, and wave motions.
Transcribed Image Text:**Text Transcription for Educational Website:** An object of mass \( m \) attached to a spring of force constant \( k \) oscillates with simple harmonic motion. The maximum displacement from equilibrium is \( A \) and the total mechanical energy of the system is \( E \). **Explanation:** This passage describes a classic physics scenario involving simple harmonic motion (SHM). Key terms include: - **Mass \( m \)**: This is the mass of the object attached to the spring. - **Spring constant \( k \)**: This is a measure of the spring's stiffness. - **Maximum displacement \( A \)**: Also known as the amplitude, it is the farthest distance the object moves from its equilibrium position. - **Total mechanical energy \( E \)**: In an ideal, frictionless system, this energy is conserved and comprises both potential energy (when the spring is compressed or stretched) and kinetic energy (when the object is moving). This concept is fundamental in understanding oscillatory systems in physics, such as pendulums, vibrations, and wave motions.
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