**Calculate the Work Done by a One-Dimensional Force**To find the work \( W \) done from \( x = 5 \, \text{m} \) to \( x = 10 \, \text{m} \) by the one-dimensional force depicted in the graph:**Work Equation**\[ W = \int_{x_1}^{x_2} F(x) \, dx \]**Graph Description**- The graph plots force \( F \, (\text{N}) \) against position \( x \, (\text{m}) \).- **Force Axis (Y-axis):** Ranges from -100 N to 100 N.- **Position Axis (X-axis):** Ranges from 0 m to 10 m.**Graph Analysis:**1. **0 m to 2 m:** Force increases linearly from 0 N to 100 N.2. **2 m to 4 m:** Force remains constant at 100 N.3. **4 m to 6 m:** Force decreases linearly to 0 N.4. **6 m to 8 m:** Force decreases linearly to -100 N.5. **8 m to 10 m:** Force increases linearly back to 0 N.**Task:** Calculate the work done in the section from \( x = 5 \, \text{m} \) to \( x = 10 \, \text{m} \).**Input Field:**- Enter your calculated work \( W \) in joules (J).- **Tools Section:** Multiplier of \( x10^7 \) may be applied.Fill in the value of work in the provided box.

Given: The displacement of the object is from 5 m to 10 m. Introduction: The work done of the object…

Answered: Calculate the work W done from x = 5 m…

Calculate the work W done from x = 5 m to x = 10 m by the %3D one-dimensional force depicted in the graph. F (N) 100 W = J 0- x (m) 2 3 4 5. 6 7 8 9. 10 - TOOLS X10 -100

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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Question

**Calculate the Work Done by a One-Dimensional Force**

To find the work \( W \) done from \( x = 5 \, \text{m} \) to \( x = 10 \, \text{m} \) by the one-dimensional force depicted in the graph:

**Work Equation**
\[ W = \int_{x_1}^{x_2} F(x) \, dx \]

**Graph Description**

- The graph plots force \( F \, (\text{N}) \) against position \( x \, (\text{m}) \).
- **Force Axis (Y-axis):** Ranges from -100 N to 100 N.
- **Position Axis (X-axis):** Ranges from 0 m to 10 m.

**Graph Analysis:**

1. **0 m to 2 m:** Force increases linearly from 0 N to 100 N.
2. **2 m to 4 m:** Force remains constant at 100 N.
3. **4 m to 6 m:** Force decreases linearly to 0 N.
4. **6 m to 8 m:** Force decreases linearly to -100 N.
5. **8 m to 10 m:** Force increases linearly back to 0 N.

**Task:**
Calculate the work done in the section from \( x = 5 \, \text{m} \) to \( x = 10 \, \text{m} \).

**Input Field:**
- Enter your calculated work \( W \) in joules (J).

- **Tools Section:** Multiplier of \( x10^7 \) may be applied.

Fill in the value of work in the provided box.

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