This figure shows on the position versus time graph for a 9.8 kg object oscillating on a spring. Assume that each take mark on the vertical axis represents 7 cm and assume each take more on the horizontal axis represents 10 seconds what is the frequency in hertz of the motion.

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
100%
This figure shows on the position versus time graph for a 9.8 kg object oscillating on a spring. Assume that each take mark on the vertical axis represents 7 cm and assume each take more on the horizontal axis represents 10 seconds what is the frequency in hertz of the motion.
### Position vs. Time Graph

#### Description

This graph displays the relationship between position (x) in meters and time (t) in seconds for a given motion. 

#### Axes:
- **Horizontal Axis (x-axis)**: Represents time in seconds (s).
- **Vertical Axis (y-axis)**: Represents position in meters (m).

#### Graph Characteristics:
- The graph displays a sinusoidal wave pattern, indicating harmonic or oscillatory motion.
- Starting from the initial point on the vertical axis, the position decreases, reaching a minimum, then increases, passes through the initial position, reaches a maximum, and finally returns toward the initial position again.
- The smooth, continuous curve suggests regular periodic motion.

#### Interpreting the Graph:
- **Peak Points**: Points where the curve reaches the maximum and minimum values signify the extreme positions of the oscillatory motion.
- **Zero Crossings**: Points where the curve crosses the horizontal axis correspond to the moments when the object passes through its equilibrium position.
- **Periodicity**: The distance along the time axis between two successive points where the curve starts repeating indicates the period of the oscillatory motion.

This graph is typical in studies of physics related to waves, simple harmonic motion, and oscillatory systems. It helps in understanding how an object's position varies over time following these principles.
Transcribed Image Text:### Position vs. Time Graph #### Description This graph displays the relationship between position (x) in meters and time (t) in seconds for a given motion. #### Axes: - **Horizontal Axis (x-axis)**: Represents time in seconds (s). - **Vertical Axis (y-axis)**: Represents position in meters (m). #### Graph Characteristics: - The graph displays a sinusoidal wave pattern, indicating harmonic or oscillatory motion. - Starting from the initial point on the vertical axis, the position decreases, reaching a minimum, then increases, passes through the initial position, reaches a maximum, and finally returns toward the initial position again. - The smooth, continuous curve suggests regular periodic motion. #### Interpreting the Graph: - **Peak Points**: Points where the curve reaches the maximum and minimum values signify the extreme positions of the oscillatory motion. - **Zero Crossings**: Points where the curve crosses the horizontal axis correspond to the moments when the object passes through its equilibrium position. - **Periodicity**: The distance along the time axis between two successive points where the curve starts repeating indicates the period of the oscillatory motion. This graph is typical in studies of physics related to waves, simple harmonic motion, and oscillatory systems. It helps in understanding how an object's position varies over time following these principles.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Simple Harmonic Motion
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