1. Collect data for this video to find the relationship between force and angle. Force Angle N variable Degree variable 1 2 2 3 4 13 4 6. 20 5 27 6. 10 35 7 12 44 14 59 16 69 10 17 85 11 17.2 90 A. Based on this new data, and how you think this system should act based on your extrapolation, what function do you think would fit this data? B. Create a column that calculates the sine of the angle. Plot force (on the vertical axis) vs sine of the angle (on the horizontal axis). C. Write the equation you got when plotting F vs Sine of angle in the space below. What is the slope of that line? What significance of the slope? Can you write the general equation for the component of the force gravity directed parallel to the ramp surface for any object on a ramp?
1. Collect data for this video to find the relationship between force and angle. Force Angle N variable Degree variable 1 2 2 3 4 13 4 6. 20 5 27 6. 10 35 7 12 44 14 59 16 69 10 17 85 11 17.2 90 A. Based on this new data, and how you think this system should act based on your extrapolation, what function do you think would fit this data? B. Create a column that calculates the sine of the angle. Plot force (on the vertical axis) vs sine of the angle (on the horizontal axis). C. Write the equation you got when plotting F vs Sine of angle in the space below. What is the slope of that line? What significance of the slope? Can you write the general equation for the component of the force gravity directed parallel to the ramp surface for any object on a ramp?
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I need help with the lab. Please answer A, B, and C
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### Determining the Relationship Between Force and Angle
#### Data Collection
The table below shows the relationship between force (in Newtons) and angle (in degrees) collected for this study.
| Force (N) | Angle (Degrees) |
|-----------|-----------------|
| 0 | 0 |
| 2 | 7 |
| 4 | 13 |
| 6 | 20 |
| 8 | 27 |
| 10 | 35 |
| 12 | 44 |
| 14 | 59 |
| 16 | 69 |
| 17 | 85 |
| 17.2 | 90 |
#### Questions
**A. Based on this new data, and how you think this system should act based on your extrapolation, what function do you think would fit this data?**
*Answer:* Considering the nature of the relationship between force and angle, and knowing that trigonometric functions often describe such relationships, you might expect a sinusoidal function (likely a sine function) to fit this data, as the force increases with the sine of the angle.
**B. Create a column that calculates the sine of the angle. Plot force (on the vertical axis) vs sine of the angle (on the horizontal axis).**
*Instruction:* Add a new column in the table to calculate the sine of each angle (in degrees). To calculate the sine of an angle in degrees, you can use the formula:
\[
\text{Sine of Angle} = \sin(\text{Angle in Degrees})
\]
After calculating, plot these points on a graph with the sine of the angle on the horizontal axis and force on the vertical axis.
**C. Write the equation you got when plotting Force (F) vs Sine of angle in the space below. What is the slope of that line? What significance of the slope? Can you write the general equation for the component of the force gravity directed parallel to the ramp surface for any object on a ramp?**
*Answer:* After plotting the data, you should fit a linear trend line to determine the equation. The equation will be in the form:
\[
F = m \cdot \sin(\theta) + b
\]
where:
- \( F \) is the force
- \( \theta \) is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f2030df-489c-4c06-8af8-a0bb3fa2ff8f%2F4a0c960d-a86d-4da2-bace-b77863fbe78a%2F660u0aw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Determining the Relationship Between Force and Angle
#### Data Collection
The table below shows the relationship between force (in Newtons) and angle (in degrees) collected for this study.
| Force (N) | Angle (Degrees) |
|-----------|-----------------|
| 0 | 0 |
| 2 | 7 |
| 4 | 13 |
| 6 | 20 |
| 8 | 27 |
| 10 | 35 |
| 12 | 44 |
| 14 | 59 |
| 16 | 69 |
| 17 | 85 |
| 17.2 | 90 |
#### Questions
**A. Based on this new data, and how you think this system should act based on your extrapolation, what function do you think would fit this data?**
*Answer:* Considering the nature of the relationship between force and angle, and knowing that trigonometric functions often describe such relationships, you might expect a sinusoidal function (likely a sine function) to fit this data, as the force increases with the sine of the angle.
**B. Create a column that calculates the sine of the angle. Plot force (on the vertical axis) vs sine of the angle (on the horizontal axis).**
*Instruction:* Add a new column in the table to calculate the sine of each angle (in degrees). To calculate the sine of an angle in degrees, you can use the formula:
\[
\text{Sine of Angle} = \sin(\text{Angle in Degrees})
\]
After calculating, plot these points on a graph with the sine of the angle on the horizontal axis and force on the vertical axis.
**C. Write the equation you got when plotting Force (F) vs Sine of angle in the space below. What is the slope of that line? What significance of the slope? Can you write the general equation for the component of the force gravity directed parallel to the ramp surface for any object on a ramp?**
*Answer:* After plotting the data, you should fit a linear trend line to determine the equation. The equation will be in the form:
\[
F = m \cdot \sin(\theta) + b
\]
where:
- \( F \) is the force
- \( \theta \) is
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