College Physics
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Publisher: Cengage Learning
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![### Force Acting on a Body
The only force acting on a 1.5 kg body as it moves along the \( x \)-axis varies as shown below. The scale of the figure's vertical axis is set by \( F_s = 4.4 \) N. The velocity of the body at \( x = 0 \) is 4.1 m/s.
#### Force vs. Displacement Graph
The graph below shows the relationship between the force \( F_x \) (in Newtons) and the displacement \( x \) (in meters).
- **X-Axis (Displacement \( x \))**: Ranges from 0 m to 5 m.
- **Y-Axis (Force \( F_x \))**: Ranges from \(-F_s\) to \(F_s\) (\(-4.4 \text{ N}\) to \(4.4 \text{ N}\)).
The force decreases linearly from \( F_s \) (4.4 N) at \( x = 0 \) to 0 at \( x = 1 \) m. It then stays at 0 from \( x = 1 \) m to \( x = 5 \) m.
![Graph]
#### Problem
(a) What is the kinetic energy of the body at \( x = 3.0 \) m?
**Solution:**
\[ K.E. = -4.4 \text{ J} \]
(Note: The provided solution of \(-4.4 \text{ J}\) is indicated to be incorrect.)
---
This educational material is designed to help students understand how force varies with displacement and how it affects the kinetic energy of a moving body.](https://content.bartleby.com/qna-images/question/ed7c40be-308c-4497-87ab-a20f4a14a0a8/1c33e60c-60f1-4daf-805a-324ab9bf8977/xm0t0xo_processed.png)
Transcribed Image Text:### Force Acting on a Body
The only force acting on a 1.5 kg body as it moves along the \( x \)-axis varies as shown below. The scale of the figure's vertical axis is set by \( F_s = 4.4 \) N. The velocity of the body at \( x = 0 \) is 4.1 m/s.
#### Force vs. Displacement Graph
The graph below shows the relationship between the force \( F_x \) (in Newtons) and the displacement \( x \) (in meters).
- **X-Axis (Displacement \( x \))**: Ranges from 0 m to 5 m.
- **Y-Axis (Force \( F_x \))**: Ranges from \(-F_s\) to \(F_s\) (\(-4.4 \text{ N}\) to \(4.4 \text{ N}\)).
The force decreases linearly from \( F_s \) (4.4 N) at \( x = 0 \) to 0 at \( x = 1 \) m. It then stays at 0 from \( x = 1 \) m to \( x = 5 \) m.
![Graph]
#### Problem
(a) What is the kinetic energy of the body at \( x = 3.0 \) m?
**Solution:**
\[ K.E. = -4.4 \text{ J} \]
(Note: The provided solution of \(-4.4 \text{ J}\) is indicated to be incorrect.)
---
This educational material is designed to help students understand how force varies with displacement and how it affects the kinetic energy of a moving body.
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