A sled is pulled for 15 m by a variable force as shown in the figure below. Calculate the work done by the variable force

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A sled is pulled for 15 m by a variable force as shown in the figure below. Calculate the work done by the variable force
**Understanding Work Done by a Variable Force**

In this educational module, we explore how to calculate the work done by a variable force, using the example of a sled being pulled over a distance. The details are depicted in the adjacent graph.

**Graph Description:**

1. **Axes:**
   - The vertical axis represents the force, \( F_x \), in Newtons (N), ranging from -200 N to 400 N.
   - The horizontal axis represents the distance, \( x \), in meters (m), ranging from 0 m to 15 m.

2. **Graph Segments:**
   - From \( x = 0 \) to \( x = 5 \), the force increases linearly from 0 N to 300 N.
   - From \( x = 5 \) to \( x = 10 \), the force remains constant at 300 N.
   - From \( x = 10 \) to \( x = 15 \), the force decreases linearly from 300 N to -150 N.

3. **Task:**
   - The text asks us to calculate the work done by this variable force over the 15-meter distance.

**Concepts Covered:**
- The work done by a force is the area under the force vs. distance graph.
- For linear sections, the area can be calculated using the formula for the area of a triangle or rectangle.

This graph provides a clear visual representation for understanding the relationship between force, distance, and work done in physics.
Transcribed Image Text:**Understanding Work Done by a Variable Force** In this educational module, we explore how to calculate the work done by a variable force, using the example of a sled being pulled over a distance. The details are depicted in the adjacent graph. **Graph Description:** 1. **Axes:** - The vertical axis represents the force, \( F_x \), in Newtons (N), ranging from -200 N to 400 N. - The horizontal axis represents the distance, \( x \), in meters (m), ranging from 0 m to 15 m. 2. **Graph Segments:** - From \( x = 0 \) to \( x = 5 \), the force increases linearly from 0 N to 300 N. - From \( x = 5 \) to \( x = 10 \), the force remains constant at 300 N. - From \( x = 10 \) to \( x = 15 \), the force decreases linearly from 300 N to -150 N. 3. **Task:** - The text asks us to calculate the work done by this variable force over the 15-meter distance. **Concepts Covered:** - The work done by a force is the area under the force vs. distance graph. - For linear sections, the area can be calculated using the formula for the area of a triangle or rectangle. This graph provides a clear visual representation for understanding the relationship between force, distance, and work done in physics.
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