The students use a force sensor and a motion sensor to measure the acceleration of the object when a force is applied. They plot their data on a force-acceleration graph below. What is the mass of the box? Force (N) 2 0 14 4 12 10 8 6 1 2 Force vs. Acceleration 3 4 5 Acceleration (m/s²) 6 8

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Chapter1: Units, Trigonometry. And Vectors
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**Physics Lab Experiment: Determining Mass Without a Scale**

In a physics lab, students are exploring how to determine the mass of an object without using a traditional scale. They use a force sensor and a motion sensor to measure the acceleration of the object when a force is applied. The objective is to find the mass of the box by examining the relationship between force and acceleration. Below is the method and the resulting data plotted as a graph.

**Graph Explanation: Force vs. Acceleration**

- **Title:** Force vs. Acceleration
- **X-Axis:** Acceleration (m/s²), ranging from 0 to 8.
- **Y-Axis:** Force (N), ranging from 0 to 14.
- **Data Points:** Five plotted points show a linear relationship between force and acceleration. The points appear at coordinates approximately (2, 4), (3, 6), (4, 8), (5, 10), and (6, 12).

The linear graph indicates a direct proportionality between force and acceleration, consistent with Newton's second law (F = ma). The slope of this line represents the mass of the object. Given the data points, the slope, calculated as the rise over the run, is 2, suggesting the mass of the box is 2 kg.
Transcribed Image Text:**Physics Lab Experiment: Determining Mass Without a Scale** In a physics lab, students are exploring how to determine the mass of an object without using a traditional scale. They use a force sensor and a motion sensor to measure the acceleration of the object when a force is applied. The objective is to find the mass of the box by examining the relationship between force and acceleration. Below is the method and the resulting data plotted as a graph. **Graph Explanation: Force vs. Acceleration** - **Title:** Force vs. Acceleration - **X-Axis:** Acceleration (m/s²), ranging from 0 to 8. - **Y-Axis:** Force (N), ranging from 0 to 14. - **Data Points:** Five plotted points show a linear relationship between force and acceleration. The points appear at coordinates approximately (2, 4), (3, 6), (4, 8), (5, 10), and (6, 12). The linear graph indicates a direct proportionality between force and acceleration, consistent with Newton's second law (F = ma). The slope of this line represents the mass of the object. Given the data points, the slope, calculated as the rise over the run, is 2, suggesting the mass of the box is 2 kg.
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