Acceleration (m/s²) 0.42 0.14 0.10 0.20 0.30 0.50 Force Sensor Reading (N) 6. Using the straight line from the graph (not individual data points) calculate the mass of the cart used by the perfectly coordinated student. Make sure to show units during your calculation.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Graph Description:**
The graph is a plot with the x-axis labeled as "Acceleration (m/s²)" and the y-axis labeled as "Force Sensor Reading (N)". The x-axis has the following intervals marked: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7. The y-axis has the intervals: 0.10, 0.25, 0.40, 0.55, 0.70, 0.85. A straight line is plotted, showing a decrease from the top right to the bottom left. This indicates an inverse relationship between force and acceleration.

**Text Instructions:**
6. Using the straight line from the graph (not individual data points) calculate the mass of the cart used by the perfectly coordinated student. Make sure to show units during your calculation.

7. Using the straight line from the graph, determine the magnitude of the force of friction.

8. The experiment and analysis in parts 6 and 7 are repeated with a cart that has the same mass but a greater force of friction.
Transcribed Image Text:**Graph Description:** The graph is a plot with the x-axis labeled as "Acceleration (m/s²)" and the y-axis labeled as "Force Sensor Reading (N)". The x-axis has the following intervals marked: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7. The y-axis has the intervals: 0.10, 0.25, 0.40, 0.55, 0.70, 0.85. A straight line is plotted, showing a decrease from the top right to the bottom left. This indicates an inverse relationship between force and acceleration. **Text Instructions:** 6. Using the straight line from the graph (not individual data points) calculate the mass of the cart used by the perfectly coordinated student. Make sure to show units during your calculation. 7. Using the straight line from the graph, determine the magnitude of the force of friction. 8. The experiment and analysis in parts 6 and 7 are repeated with a cart that has the same mass but a greater force of friction.
Title: Analysis of Force and Acceleration in Experimental Trials

---

This educational resource presents data from a series of five experimental trials, focusing on the relationship between force and acceleration. The data is organized in the following table:

| Trial | Force Sensor Reading (N) | Acceleration (m/s²) |
|-------|--------------------------|---------------------|
| 1     | 0.32                     | 0.12                |
| 2     | 0.38                     | 0.22                |
| 3     | 0.44                     | 0.33                |
| 4     | 0.50                     | 0.50                |
| 5     | 0.60                     | 0.70                |

### Explanation:

- **Trial**: Represents the sequence of experiments conducted. There are five trials in total.
- **Force Sensor Reading (N)**: Indicates the force measured in Newtons (N) during each trial.
- **Acceleration (m/s²)**: Represents the acceleration recorded in meters per second squared (m/s²) for each corresponding trial.

### Observations:

- There is a consistent increase in both force sensor readings and acceleration values across the trials.
- This suggests a direct relationship between the applied force and the resulting acceleration, which aligns with Newton’s Second Law of Motion (F = ma).

### Conclusion:

The data analysis supports the fundamental principle that an increase in force results in a proportional increase in acceleration, highlighting an important concept in physics. This table may be used as a reference to understand the empirical relationship between force and acceleration in controlled experimental settings.
Transcribed Image Text:Title: Analysis of Force and Acceleration in Experimental Trials --- This educational resource presents data from a series of five experimental trials, focusing on the relationship between force and acceleration. The data is organized in the following table: | Trial | Force Sensor Reading (N) | Acceleration (m/s²) | |-------|--------------------------|---------------------| | 1 | 0.32 | 0.12 | | 2 | 0.38 | 0.22 | | 3 | 0.44 | 0.33 | | 4 | 0.50 | 0.50 | | 5 | 0.60 | 0.70 | ### Explanation: - **Trial**: Represents the sequence of experiments conducted. There are five trials in total. - **Force Sensor Reading (N)**: Indicates the force measured in Newtons (N) during each trial. - **Acceleration (m/s²)**: Represents the acceleration recorded in meters per second squared (m/s²) for each corresponding trial. ### Observations: - There is a consistent increase in both force sensor readings and acceleration values across the trials. - This suggests a direct relationship between the applied force and the resulting acceleration, which aligns with Newton’s Second Law of Motion (F = ma). ### Conclusion: The data analysis supports the fundamental principle that an increase in force results in a proportional increase in acceleration, highlighting an important concept in physics. This table may be used as a reference to understand the empirical relationship between force and acceleration in controlled experimental settings.
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