Physics The image contains four graphs and a set of questions related to them.### Graphs1. **Graph (i):** - **Axes:** The x-axis represents distance (x) in meters (m), ranging from 0 to 3.0 meters. The y-axis represents force (Fₓ) in newtons (N), ranging from -20 to 20 newtons. - **Description:** This graph shows a linearly decreasing force with respect to distance.2. **Graph (ii):** - **Axes:** Similar to Graph (i), with x-axis ranging from 0 to 3.0 meters and y-axis from -20 to 20 newtons. - **Description:** This graph shows a linearly increasing force with respect to distance.3. **Graph (iii):** - **Axes:** Same scale as previous graphs. - **Description:** This graph depicts a constant, increasing force.4. **Graph (iv):** - **Axes:** Identical scales to the other graphs. - **Description:** This graph shows a linearly decreasing force similar to Graph (i) but appears steeper.### Questions and Answers(b) **Estimate Fₓ(0):** - **Answer:** -12 N - **Feedback:** "Your value is acceptable." **Estimate Fₓ(3.0 m):** - **Answer:** 9 N - **Feedback:** "Your value is acceptable." **Estimate the x-intercept:** - **Answer:** 1.74 m - **Feedback:** "Your value is acceptable." **From your graph, find the net work done by the force as the object moves from x = 0 to x = 3 m. (Use your estimates.):** - **Answer:** 4 - **Feedback:** Indicated as incorrect (red cross).This educational page presents various graphs illustrating force versus distance and poses questions to encourage estimation and analysis of the data. ### Force on an ObjectThe force acting on an object is given by the equation \( F_x = (7x - 12) \, \text{N} \), where \( x \) is in meters.#### Task (a)Choose the plot that best describes the force versus \( x \) from \( x = 0 \) to \( x = 3.00 \, \text{m} \).#### Available Plots1. **Plot (i)**: - This graph shows a linear decrease in force from approximately 10 N at \( x = 0 \) to about -10 N at \( x = 3.0 \, \text{m} \).2. **Plot (ii)**: - This graph shows a linear increase in force from approximately -12 N at \( x = 0 \) to about 10 N at \( x = 3.0 \, \text{m} \).3. **Plot (iii)**: - This graph shows a linear increase in force from approximately 0 N at \( x = 0 \) to about 20 N at \( x = 3.0 \, \text{m} \).4. **Plot (iv)**: - This graph shows a linear decrease in force from approximately 20 N at \( x = 0 \) to about 0 N at \( x = 3.0 \, \text{m} \).#### Task (b)Estimate \( F_x(0) \).- Answer: \(-12\) N (Your value is acceptable).Estimate \( F_x(3.0 \text{ m}) \).- Answer: \(9\) N (Your value is acceptable).Estimate the x-intercept.- Answer: \(1.71\) m (Your value is acceptable).### ExplanationBased on the equation \( F_x = 7x - 12 \), the force is a linear function of \( x \). The intercepts and values given confirm the behavior of the force over the interval, with the option (ii) graph likely being the correct choice, as it starts at \(-12\) N at \( x = 0 \) and concludes at \(9\) N at \( x = 3.0 \, \text{m} \). The x-intercept is where the force

Name: Physics The image contains four graphs and a set of questions related
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: Physics The image contains four graphs and a set of questions related to them.### Graphs1. **Graph (i):** - **Axes:** The x-axis represents distance (x) in meters (m), ranging from 0 to 3.0 meters. The y-axis represents force (Fₓ) in newtons (N), r