A particle is subject to a force Fx that varies with position as shown in the following figure. (a) Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m. J(b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 6.00 m. J(c) Find the work done by the force on the particle as it moves from x = 14.0 m to x = 15.0 m. J(d) What is the total work done by the force over the distance x = 0 to x = 15.0 m? ### Graph DescriptionThe graph represents the force \( F_x \) as a function of the position \( x \).- **Axes:** - The horizontal axis (\( x \)) is labeled in meters (m), ranging from 0 to 16. - The vertical axis (\( F_x \)) is labeled in newtons (N), ranging from 0 to 3.- **Graph Characteristics:** - The plot begins at the origin (0,0). - From \( x = 0 \) to \( x = 4 \), the force increases linearly from 0 N to 3 N. - Between \( x = 4 \) and \( x = 12 \), the force remains constant at 3 N. - From \( x = 12 \) to \( x = 16 \), the force decreases linearly back to 0 N.This diagram depicts a force that initially increases, stays constant over a certain distance, and then decreases, forming a trapezoidal shape.

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Description: A particle is subject to a force Fx that varies with position as shown in the following figure. (a) Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m. J(b) Find the work done by the force on the particle as it moves

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Answered: A particle is subject to a force Fx…

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 particle is subject to a force F_x that varies with position as shown in the following figure.

(a) Find the work done by the force on the particle as it moves from x = 0 to x = 2.00 m.
J

(b) Find the work done by the force on the particle as it moves from x = 5.00 m to x = 6.00 m.
J

(c) Find the work done by the force on the particle as it moves from x = 14.0 m to x = 15.0 m.
J

(d) What is the total work done by the force over the distance x = 0 to x = 15.0 m?

### Graph Description

The graph represents the force \( F_x \) as a function of the position \( x \).

- **Axes:**
- The horizontal axis (\( x \)) is labeled in meters (m), ranging from 0 to 16.
- The vertical axis (\( F_x \)) is labeled in newtons (N), ranging from 0 to 3.

- **Graph Characteristics:**
- The plot begins at the origin (0,0).
- From \( x = 0 \) to \( x = 4 \), the force increases linearly from 0 N to 3 N.
- Between \( x = 4 \) and \( x = 12 \), the force remains constant at 3 N.
- From \( x = 12 \) to \( x = 16 \), the force decreases linearly back to 0 N.

This diagram depicts a force that initially increases, stays constant over a certain distance, and then decreases, forming a trapezoidal shape.

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