A object of mass 3.00 kg is subject to a force Fx that varies with position as in the figure below.A coordinate plane has a horizontal axis labeled x (m) and a vertical axis labeled Fx (N). There are three line segments. The first segment runs from the origin to (6,3). The second segment runs from (6,3) to (10,3). The third segment runs from (10,3) to (16,0).(a) Find the work done by the force on the object as it moves from x = 0 to x = 6.00 m. Your response differs from the correct answer by more than 10%. Double check your calculations. J(b) Find the work done by the force on the object as it moves from x = 6.00 m to x = 10.0 m. J(c) Find the work done by the force on the object as it moves from x = 10.0 m to x = 16.0 m. J(d) If the object has a speed of 0.600 m/s at x = 0, find its speed at x = 6.00 m and its speed at x = 16.0 m.speed at x = 6.00 m m/sspeed at x = 16.0 m m/s ### Force vs. Distance Graph#### DescriptionThe graph provided illustrates the relationship between force \( F_x \) (measured in Newtons, N) and distance \( x \) (measured in meters, m). Below is a detailed explanation of the data presented in the graph.#### Data Points and Interpretation- The x-axis represents the distance \( x \) in meters (m), ranging from 0 to 20 meters.- The y-axis represents the force \( F_x \) in Newtons (N), ranging from 0 to 5 Newtons.#### Graph Analysis1. **Rising Segment (0m to 5m):** - As the distance increases from 2 meters to 6 meters, the force increases linearly from 0 Newtons to 3 Newtons.2. **Constant Segment (6m to 12m):** - Between 6 meters and 12 meters, the force remains constant at 3 Newtons. This indicates a region where the applied force does not change despite the increase in distance.3. **Falling Segment (12m to 16m):** - After 12 meters, the force starts to decrease linearly, falling from 3 Newtons at 12 meters to 0 Newtons at 16 meters.4. **Flat Segment (16m to 20m):** - From 16 meters to 20 meters, the force remains constant at 0 Newtons, indicating no force is applied in this region.#### SummaryThis graph is useful in studying the behavior of force as the distance changes. There is an initial period of increasing force, followed by a constant force, then a period of decreasing force, and concluding with zero force. Understanding these segments can provide insights into the physical systems in question, such as mechanical systems, material stress-strain relationships, or energy transfer processes.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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A object of mass 3.00 kg is subject to a force F_x that varies with position as in the figure below.

A coordinate plane has a horizontal axis labeled x (m) and a vertical axis labeled F_x (N). There are three line segments. The first segment runs from the origin to (6,3). The second segment runs from (6,3) to (10,3). The third segment runs from (10,3) to (16,0).

(a) Find the work done by the force on the object as it moves from

x = 0

x = 6.00 m.

Your response differs from the correct answer by more than 10%. Double check your calculations. J

(b) Find the work done by the force on the object as it moves from

x = 6.00 m

x = 10.0 m.

J

(c) Find the work done by the force on the object as it moves from

x = 10.0 m

x = 16.0 m.

J

(d) If the object has a speed of 0.600 m/s at

x = 0,

find its speed at

x = 6.00 m

and its speed at

x = 16.0 m.

speed at x = 6.00 m	m/s
speed at x = 16.0 m	m/s

### Force vs. Distance Graph

#### Description
The graph provided illustrates the relationship between force \( F_x \) (measured in Newtons, N) and distance \( x \) (measured in meters, m). Below is a detailed explanation of the data presented in the graph.

#### Data Points and Interpretation
- The x-axis represents the distance \( x \) in meters (m), ranging from 0 to 20 meters.
- The y-axis represents the force \( F_x \) in Newtons (N), ranging from 0 to 5 Newtons.

#### Graph Analysis
1. **Rising Segment (0m to 5m):**
- As the distance increases from 2 meters to 6 meters, the force increases linearly from 0 Newtons to 3 Newtons.

2. **Constant Segment (6m to 12m):**
- Between 6 meters and 12 meters, the force remains constant at 3 Newtons. This indicates a region where the applied force does not change despite the increase in distance.

3. **Falling Segment (12m to 16m):**
- After 12 meters, the force starts to decrease linearly, falling from 3 Newtons at 12 meters to 0 Newtons at 16 meters.

4. **Flat Segment (16m to 20m):**
- From 16 meters to 20 meters, the force remains constant at 0 Newtons, indicating no force is applied in this region.

#### Summary
This graph is useful in studying the behavior of force as the distance changes. There is an initial period of increasing force, followed by a constant force, then a period of decreasing force, and concluding with zero force. Understanding these segments can provide insights into the physical systems in question, such as mechanical systems, material stress-strain relationships, or energy transfer processes.

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