Hooke's Law and Single Harmonic Motion B. Spring Elongation DATA TABLE 2 Total suspended weights (N) (0.100 kg)g (0.200 kg)g (0.300 kg)g (0.400 kg)g (0.500 kg)g (0.600 kg)g Scale reading (m) m¡g y1 0.003 m2g y2 0.025 m3g Уз 0.045 m4g y4 0.068 m5g ys 0.091 m6g y6 0.113 m7g k (slope of graph) (units) C. Period ofOscillation DATA TABLE 3 T° (s²) Total suspended mass (kg) Total time Number of Average period (s) 0.64 (s) oscillations mị 0.500 12.85 20 0.41 m2 0.400 11.62 20 0.58 0.34 m3 0.300 10.29 20 0.51 0.26 m4 0.200 8.26 20 0.41 0.17 slope of graph computed spring constant k (units) _(units) percent difference of k

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Chapter1: Units, Trigonometry. And Vectors
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## Hooke's Law and Single Harmonic Motion

### B. Spring Elongation

**DATA TABLE 2**

| Total suspended weights (N) | Scale reading (m) |
|-----------------------------|-------------------|
| m₁g (0.100 kg)g             | y₁  0.003         |
| m₂g (0.200 kg)g             | y₂  0.025         |
| m₃g (0.300 kg)g             | y₃  0.045         |
| m₄g (0.400 kg)g             | y₄  0.068         |
| m₅g (0.500 kg)g             | y₅  0.091         |
| m₆g (0.600 kg)g             | y₆  0.113         |
| m₇g                         |                   |

- **k (slope of graph):** ___________ (units)

### C. Period of Oscillation

**DATA TABLE 3**

| Total suspended mass (kg) | Total time (s) | Number of oscillations | Average period (s) | T² (s²) |
|---------------------------|----------------|------------------------|--------------------|----------|
| m₁ 0.500                  | 12.85          | 20                     | 0.64               | 0.41     |
| m₂ 0.400                  | 11.62          | 20                     | 0.58               | 0.34     |
| m₃ 0.300                  | 10.29          | 20                     | 0.51               | 0.26     |
| m₄ 0.200                  | 8.26           | 20                     | 0.41               | 0.17     |

- **Slope of graph:** ___________ (units)
- **Computed spring constant k:** ___________ (units)
- **Percent difference of k:** ___________ 

### Explanation of Graphs and Tables

- **Data Table 2** presents measurements of spring elongation. It details how different weights, when suspended, cause varying extensions measured by scale readings.
- **Data Table 3** displays information on oscillation periods. It includes multiple columns detailing the total suspended mass, total time of oscillations
Transcribed Image Text:## Hooke's Law and Single Harmonic Motion ### B. Spring Elongation **DATA TABLE 2** | Total suspended weights (N) | Scale reading (m) | |-----------------------------|-------------------| | m₁g (0.100 kg)g | y₁ 0.003 | | m₂g (0.200 kg)g | y₂ 0.025 | | m₃g (0.300 kg)g | y₃ 0.045 | | m₄g (0.400 kg)g | y₄ 0.068 | | m₅g (0.500 kg)g | y₅ 0.091 | | m₆g (0.600 kg)g | y₆ 0.113 | | m₇g | | - **k (slope of graph):** ___________ (units) ### C. Period of Oscillation **DATA TABLE 3** | Total suspended mass (kg) | Total time (s) | Number of oscillations | Average period (s) | T² (s²) | |---------------------------|----------------|------------------------|--------------------|----------| | m₁ 0.500 | 12.85 | 20 | 0.64 | 0.41 | | m₂ 0.400 | 11.62 | 20 | 0.58 | 0.34 | | m₃ 0.300 | 10.29 | 20 | 0.51 | 0.26 | | m₄ 0.200 | 8.26 | 20 | 0.41 | 0.17 | - **Slope of graph:** ___________ (units) - **Computed spring constant k:** ___________ (units) - **Percent difference of k:** ___________ ### Explanation of Graphs and Tables - **Data Table 2** presents measurements of spring elongation. It details how different weights, when suspended, cause varying extensions measured by scale readings. - **Data Table 3** displays information on oscillation periods. It includes multiple columns detailing the total suspended mass, total time of oscillations
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