Q3. As shown on the right in image below, the force Facting on the box varies with displacement s, and the coefficient in the image, C = 18. Determine the work done by force F to the box when the box has displaced s = 1.8 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper Sl unit.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Problem Statement:**

**Q3.** As shown on the right in the image below, the force \( F \) acting on the box varies with displacement \( s \), and the coefficient in the image, \( C = 18 \). Determine the work done by force \( F \) to the box when the box has displaced \( s = 1.8 \, \text{m} \). Please pay attention: *the numbers may change* since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper SI unit.

**Diagram Explanation:**

1. **Left Diagram:**
   - A box is shown with a force \( F \) acting at an angle, divided into horizontal and vertical components (3, 4, 5 triangle).
   - The force is applied through a distance \( s \).

2. **Right Graph:**
   - A force vs. displacement graph showing a linear increase from the origin to \( s = 2 \) meters.
   - The force \( F \) starts from 0, rises to a coefficient \( C \) at \( s = 1 \), and maintains the same level till \( s = 2 \).
   - The shaded area under this graph represents the work done by the force.

**Response Box:**

- Your Answer: [                ] units

---
Transcribed Image Text:**Problem Statement:** **Q3.** As shown on the right in the image below, the force \( F \) acting on the box varies with displacement \( s \), and the coefficient in the image, \( C = 18 \). Determine the work done by force \( F \) to the box when the box has displaced \( s = 1.8 \, \text{m} \). Please pay attention: *the numbers may change* since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper SI unit. **Diagram Explanation:** 1. **Left Diagram:** - A box is shown with a force \( F \) acting at an angle, divided into horizontal and vertical components (3, 4, 5 triangle). - The force is applied through a distance \( s \). 2. **Right Graph:** - A force vs. displacement graph showing a linear increase from the origin to \( s = 2 \) meters. - The force \( F \) starts from 0, rises to a coefficient \( C \) at \( s = 1 \), and maintains the same level till \( s = 2 \). - The shaded area under this graph represents the work done by the force. **Response Box:** - Your Answer: [ ] units ---
Expert Solution
Step 1

The work done by the force on any object is the area under the force and displacement diagram.

 

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