The force acting on an object is given by F, = (7x – 10) N, where x is in meters. (a) Choose the plot that best describes the force versus x from x = 0 to x = 3.00 m. Fx (N) Fx (N) 20- 20- 10 10 X (m) X (m) 3.0 0.5 1.0 TS 2.0 2.5 3.0 0.5 1.0 1.5 2.0 2.5 - 10 - 10 - 20- - 20f Fx (N) Fx (N) 20 20 10 10 x (m) 3.0 x (m) 0.5 1.0 1.5 2.5 0.5 1.5 2.0 2.5 3.0 - 10 - 10 - 20 - 20 (b) Estimate F,(0). -10 Your value is acceptable. N Estimate F(3.0 m). 10.5 Your value is acceptable. N Estimate the x intercent

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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hello! Please help me with the last part of this problem, down at the bottom. I have correctly solved all other steps. I answered 15.4J and this was not correct. Thank you.

**Topic: Force and Motion**

The force acting on an object is given by \( F_x = (7x - 10) \, \text{N} \), where \( x \) is in meters.

**(a) Force vs. Position Graphs:**

Choose the plot that best describes the force versus \( x \) from \( x = 0 \) to \( x = 3.00 \, \text{m} \).

- **Graph 1 (Incorrect Choice)**: A downward sloping line from \( F_x = 10 \, \text{N} \) at \( x = 0 \) to \( F_x = -10 \, \text{N} \) at \( x = 3 \).
- **Graph 2 (Correct Choice)**: An upward sloping line that passes through \( F_x = -10 \, \text{N} \) at \( x = 0 \) and \( F_x = 10.5 \, \text{N} \) at \( x = 3 \).
- **Graph 3 (Incorrect Choice)**: An upward sloping line passing through \( (x = 0, F_x = 0) \) and steeply rising.
- **Graph 4 (Incorrect Choice)**: A downward sloping line that does not fit the equation given.

**Explanation of Selected Graph:**

- **Axis**: The x-axis represents position \( x \) in meters ranging from 0 to 3, and the y-axis represents force \( F_x \) in newtons ranging approximately from -20 to 20.
- **Line Description**: The line starts below zero on the y-axis and moves upward past zero, consistent with \( F_x = (7x - 10) \).

**(b) Calculations:**

1. **Estimate \( F_x(0) \):**

   \(-10 \, \text{N} \) (Your value is acceptable)

2. **Estimate \( F_x(3.0) \):**

   \( 10.5 \, \text{N} \) (Your value is acceptable)

3. **Estimate the x-intercept:**

   \( 1.5 \, \text{m} \) (Your value is acceptable)

**Work Calculation:**

Find the net work done by the force as the object moves from
Transcribed Image Text:**Topic: Force and Motion** The force acting on an object is given by \( F_x = (7x - 10) \, \text{N} \), where \( x \) is in meters. **(a) Force vs. Position Graphs:** Choose the plot that best describes the force versus \( x \) from \( x = 0 \) to \( x = 3.00 \, \text{m} \). - **Graph 1 (Incorrect Choice)**: A downward sloping line from \( F_x = 10 \, \text{N} \) at \( x = 0 \) to \( F_x = -10 \, \text{N} \) at \( x = 3 \). - **Graph 2 (Correct Choice)**: An upward sloping line that passes through \( F_x = -10 \, \text{N} \) at \( x = 0 \) and \( F_x = 10.5 \, \text{N} \) at \( x = 3 \). - **Graph 3 (Incorrect Choice)**: An upward sloping line passing through \( (x = 0, F_x = 0) \) and steeply rising. - **Graph 4 (Incorrect Choice)**: A downward sloping line that does not fit the equation given. **Explanation of Selected Graph:** - **Axis**: The x-axis represents position \( x \) in meters ranging from 0 to 3, and the y-axis represents force \( F_x \) in newtons ranging approximately from -20 to 20. - **Line Description**: The line starts below zero on the y-axis and moves upward past zero, consistent with \( F_x = (7x - 10) \). **(b) Calculations:** 1. **Estimate \( F_x(0) \):** \(-10 \, \text{N} \) (Your value is acceptable) 2. **Estimate \( F_x(3.0) \):** \( 10.5 \, \text{N} \) (Your value is acceptable) 3. **Estimate the x-intercept:** \( 1.5 \, \text{m} \) (Your value is acceptable) **Work Calculation:** Find the net work done by the force as the object moves from
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