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G. The total energy
H. The position at t=0.400s
Please help with Part E to Part H
Transcribed Image Text:### Problem Description
A 210 g mass attached to a horizontal spring oscillates at a frequency of 3.40 Hz. At \( t = 0 \) s, the mass is at \( x = 6.20 \) cm and has \( v_x = -37.0 \) cm/s. Determine:
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#### Part D
**The Phase Constant**
Express your answer to three significant figures and include the appropriate units.
- **Input Field:** 0.272 rad
- **Response:** Answer Requested
---
#### Part E
**The Maximum Speed**
Express your answer to three significant figures and include the appropriate units.
- **Input Field:**
- **Value:**
- **Units:**
- **Buttons:**
- Submit
- Request Answer
---
#### Part F
**The Maximum Acceleration**
Express your answer to three significant figures and include the appropriate units.
- **Input Field:**
- **Value:**
- **Units:**
- **Buttons:**
- Submit
- Request Answer
---
### Additional Details
The problem involves solving for physical parameters of a mass-spring system in harmonic motion, focusing on the phase constant, maximum speed, and maximum acceleration. Calculations should adhere to principles of simple harmonic motion, ensuring accuracy to three significant figures for consistency.
![**Oscillations of a Mass-Spring System**
*A 210 g mass attached to a horizontal spring oscillates at a frequency of 3.40 Hz. At \(t = 0\) s, the mass is at \(z = 6.20\) cm and has \(v_z = -37.0\) cm/s. Determine:*
**Part A**
- **The period.**
- Express your answer to three significant figures and include the appropriate units.
- Answer: \(0.294 \, \text{s}\)
- [Correct]
**Part B**
- **The angular frequency.**
- Express your answer to three significant figures and include the appropriate units.
- Answer: \(21.4 \, \text{rad/s}\)
- [Correct]
- *Important: If you use this answer in later parts, use the full unrounded value in your calculations.*
**Part C**
- **The amplitude.**
- Express your answer to three significant figures and include the appropriate units.
- Answer: \(6.44 \times 10^{-2} \, \text{m}\)
- [Correct]
- *Correct answer is shown. Your answer \(6.43 \, \text{cm} = 6.43 \times 10^{-2} \, \text{m}\) was either rounded differently or used a different number of significant figures than required for this part.*
- *Important: If you use this answer in later parts, use the full unrounded value in your calculations.*
There are no additional graphs or diagrams included in this image.](https://content.bartleby.com/qna-images/question/b2fd9b27-3894-4c03-89ce-047a1b838456/5eaaaee1-3525-4656-9533-b55486ca842f/ewxvxgj_processed.jpeg)
Transcribed Image Text:**Oscillations of a Mass-Spring System**
*A 210 g mass attached to a horizontal spring oscillates at a frequency of 3.40 Hz. At \(t = 0\) s, the mass is at \(z = 6.20\) cm and has \(v_z = -37.0\) cm/s. Determine:*
**Part A**
- **The period.**
- Express your answer to three significant figures and include the appropriate units.
- Answer: \(0.294 \, \text{s}\)
- [Correct]
**Part B**
- **The angular frequency.**
- Express your answer to three significant figures and include the appropriate units.
- Answer: \(21.4 \, \text{rad/s}\)
- [Correct]
- *Important: If you use this answer in later parts, use the full unrounded value in your calculations.*
**Part C**
- **The amplitude.**
- Express your answer to three significant figures and include the appropriate units.
- Answer: \(6.44 \times 10^{-2} \, \text{m}\)
- [Correct]
- *Correct answer is shown. Your answer \(6.43 \, \text{cm} = 6.43 \times 10^{-2} \, \text{m}\) was either rounded differently or used a different number of significant figures than required for this part.*
- *Important: If you use this answer in later parts, use the full unrounded value in your calculations.*
There are no additional graphs or diagrams included in this image.
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