College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Question

(Physics Problem)

Please Answer only questions 5-8!!! 

Please write work neatly and box your final answer.

Thanks 

### Spring-Mass System Oscillation Analysis #### Scenario Description A box is attached to a spring and can move along a frictionless, horizontal surface according to the accompanying graph of acceleration versus time. #### Additional Information - Weight of box: 50 N ### Questions 1. **What is the angular frequency of oscillation?** 2. **What is the maximum displacement from the equilibrium position of the spring?** 3. **Write out the position vs time, velocity vs time, and acceleration vs time equations that describe the motion of this box.** (Include units) 4. **What is the maximum spring potential energy?** 5. **What is the magnitude of the maximum velocity of the box?** ### Analysis Points Selection Choose from the labeled points. There may be only one point, more than one point, or none that correctly answer the questions below. If there are no points, write “none.” 6. **Where is the magnitude of the velocity maximum?** 7. **Where is the displacement of the box zero?** 8. **Where is the spring potential energy negative?** ### Detailed Explanation of the Graph The provided graph illustrates the variation of acceleration (in m/s²) versus time (in seconds) for the box attached to a spring. The data points marked on the graph are labeled as A, B, C, D, E, F, G, and H. - **X-axis (Time, t)**: Ranges from 0 to 10 seconds. - **Y-axis (Acceleration, a)**: Ranges from -6 to 6 m/s². - **Notable Points on the Graph**: - Point A is at approximately (3 s, 6 m/s²). - Point B is at approximately (4 s, 3 m/s²). - Point C is at the equilibrium position (5 s, 0 m/s²) with zero acceleration. - Point D is at approximately (6 s, -3 m/s²). - Point E is at approximately (7 s, -6 m/s²). - Point F is at approximately (8 s, -3 m/s²). - Point G is at approximately (9 s, 0 m/s²). - Point H is at approximately (10 s, 3 m/s²). Use this information to analyze the motion of the box and solve the indicated questions.
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Transcribed Image Text:### Spring-Mass System Oscillation Analysis #### Scenario Description A box is attached to a spring and can move along a frictionless, horizontal surface according to the accompanying graph of acceleration versus time. #### Additional Information - Weight of box: 50 N ### Questions 1. **What is the angular frequency of oscillation?** 2. **What is the maximum displacement from the equilibrium position of the spring?** 3. **Write out the position vs time, velocity vs time, and acceleration vs time equations that describe the motion of this box.** (Include units) 4. **What is the maximum spring potential energy?** 5. **What is the magnitude of the maximum velocity of the box?** ### Analysis Points Selection Choose from the labeled points. There may be only one point, more than one point, or none that correctly answer the questions below. If there are no points, write “none.” 6. **Where is the magnitude of the velocity maximum?** 7. **Where is the displacement of the box zero?** 8. **Where is the spring potential energy negative?** ### Detailed Explanation of the Graph The provided graph illustrates the variation of acceleration (in m/s²) versus time (in seconds) for the box attached to a spring. The data points marked on the graph are labeled as A, B, C, D, E, F, G, and H. - **X-axis (Time, t)**: Ranges from 0 to 10 seconds. - **Y-axis (Acceleration, a)**: Ranges from -6 to 6 m/s². - **Notable Points on the Graph**: - Point A is at approximately (3 s, 6 m/s²). - Point B is at approximately (4 s, 3 m/s²). - Point C is at the equilibrium position (5 s, 0 m/s²) with zero acceleration. - Point D is at approximately (6 s, -3 m/s²). - Point E is at approximately (7 s, -6 m/s²). - Point F is at approximately (8 s, -3 m/s²). - Point G is at approximately (9 s, 0 m/s²). - Point H is at approximately (10 s, 3 m/s²). Use this information to analyze the motion of the box and solve the indicated questions.
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