The plot shows the position versus time of a mass of 1.5 kg on a spring. What is the spring constant?

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The plot shows the position versus time of a mass of 1.5 kg on a spring. What is the spring constant? 

**Graph Analysis: Sinusoidal Motion**

The graph displays a sinusoidal wave representing position (in centimeters) over time (in seconds). The horizontal axis marks Time, ranging from 0 to 10 seconds, while the vertical axis indicates Position, ranging from -5 to 5 centimeters.

### Key Features:
- **Wave Pattern:** The wave demonstrates periodic sinusoidal motion, indicative of oscillatory behavior often seen in harmonic motion.
- **Crests and Troughs:**
  - Crests occur at approximately 2 seconds and 8 seconds, reaching a maximum position of 4 centimeters.
  - Troughs are seen at about 4 seconds and 10 seconds, with a minimum position of -4 centimeters.
- **Amplitude:** The amplitude is around 4 centimeters, representing the peak deviation from the wave's central axis (position = 0).
- **Period:** The pattern repeats approximately every 6 seconds, suggesting the period of the wave.

This graphical representation is useful in understanding concepts of oscillation and wave mechanics in physics.
Transcribed Image Text:**Graph Analysis: Sinusoidal Motion** The graph displays a sinusoidal wave representing position (in centimeters) over time (in seconds). The horizontal axis marks Time, ranging from 0 to 10 seconds, while the vertical axis indicates Position, ranging from -5 to 5 centimeters. ### Key Features: - **Wave Pattern:** The wave demonstrates periodic sinusoidal motion, indicative of oscillatory behavior often seen in harmonic motion. - **Crests and Troughs:** - Crests occur at approximately 2 seconds and 8 seconds, reaching a maximum position of 4 centimeters. - Troughs are seen at about 4 seconds and 10 seconds, with a minimum position of -4 centimeters. - **Amplitude:** The amplitude is around 4 centimeters, representing the peak deviation from the wave's central axis (position = 0). - **Period:** The pattern repeats approximately every 6 seconds, suggesting the period of the wave. This graphical representation is useful in understanding concepts of oscillation and wave mechanics in physics.
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