2. A 2.0 kg particle moving along the x-axis experiences the force shown below, which changes as the position x of the particle changes. The particle's velocity is 4.0 m/s at x = 0 m. Use the work-kinetic energy theorem to answer the questions below. (a) What is the particle's velocity at x = 2 m? (b) What is the particle's velocity at x = 4m? Fx (N) 10- लि 1 2 3 4 0 -10- -x (m)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Please include explanations and work for the problems. Please write it out to make it easy to understand.

**Problem 2:**

A 2.0 kg particle moving along the x-axis experiences the force shown below, which changes as the position \( x \) of the particle changes. The particle’s velocity is 4.0 m/s at \( x = 0 \, \text{m} \). Use the work-kinetic energy theorem to answer the questions below.

(a) What is the particle’s velocity at \( x = 2 \, \text{m} \)?

(b) What is the particle’s velocity at \( x = 4 \, \text{m} \)?

**Graph Explanation:**

The graph depicts the force \( F_x \) (in Newtons) experienced by the particle as a function of its position \( x \) (in meters). 

- The force starts at 10 N when \( x = 0 \).
- The force decreases linearly, reaching 0 N at \( x = 2 \).
- The force continues to decrease, reaching -10 N at \( x = 4 \).

The work done by this force on the particle is the area under the force-position graph.
Transcribed Image Text:**Problem 2:** A 2.0 kg particle moving along the x-axis experiences the force shown below, which changes as the position \( x \) of the particle changes. The particle’s velocity is 4.0 m/s at \( x = 0 \, \text{m} \). Use the work-kinetic energy theorem to answer the questions below. (a) What is the particle’s velocity at \( x = 2 \, \text{m} \)? (b) What is the particle’s velocity at \( x = 4 \, \text{m} \)? **Graph Explanation:** The graph depicts the force \( F_x \) (in Newtons) experienced by the particle as a function of its position \( x \) (in meters). - The force starts at 10 N when \( x = 0 \). - The force decreases linearly, reaching 0 N at \( x = 2 \). - The force continues to decrease, reaching -10 N at \( x = 4 \). The work done by this force on the particle is the area under the force-position graph.
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