**Problem:** If a 2.0 kg particle starts out with \( v = 4.0 \, \text{m/s} \) at \( x = 0 \), and it experiences the force shown in the graph, how fast will the particle be moving a) when it reaches \( x = 2 \, \text{m} \) b) when it reaches \( x = 4 \, \text{m} \) **Graph Explanation:** The graph shows force (\( F_x \)) on the y-axis, measured in Newtons (N), against position (\( x \)) on the x-axis, measured in meters (m). - At \( x = 0 \), \( F_x = 10 \, \text{N} \).- From \( x = 0 \) to \( x = 2 \), force decreases linearly from \( 10 \, \text{N} \) to \( 0 \, \text{N} \).- From \( x = 2 \) to \( x = 4 \), force decreases further linearly from \( 0 \, \text{N} \) to \( -10 \, \text{N} \).

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Description: **Problem:** If a 2.0 kg particle starts out with \( v = 4.0 \, \text{m/s} \) at \( x = 0 \), and it experiences the force shown in the graph, how fast will the particle be moving a) when it reaches \( x = 2 \, \text{m} \) b) when it reaches \( x

This is a question regarding the work done when a variable force is acting on a particle and the…

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If a 2.0 kg particle starts out with v = 4.0 m/s at x = 0, and it experiences the force shown in the graph, how fast will the particle be moving a) when it reaches x = 2m b) when it reaches x = 4m F, (N) 10 0 -10- 2 3 4 x (m)

If a 2.0 kg particle starts out with v = 4.0 m/s at x = 0, and it experiences the force shown in the graph, how fast will the particle be moving a) when it reaches x = 2m b) when it reaches x = 4m F, (N) 10 0 -10- 2 3 4 x (m)

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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

**Problem:**
If a 2.0 kg particle starts out with \( v = 4.0 \, \text{m/s} \) at \( x = 0 \), and it experiences the force shown in the graph, how fast will the particle be moving
a) when it reaches \( x = 2 \, \text{m} \)
b) when it reaches \( x = 4 \, \text{m} \)

**Graph Explanation:**
The graph shows force (\( F_x \)) on the y-axis, measured in Newtons (N), against position (\( x \)) on the x-axis, measured in meters (m).

- At \( x = 0 \), \( F_x = 10 \, \text{N} \).
- From \( x = 0 \) to \( x = 2 \), force decreases linearly from \( 10 \, \text{N} \) to \( 0 \, \text{N} \).
- From \( x = 2 \) to \( x = 4 \), force decreases further linearly from \( 0 \, \text{N} \) to \( -10 \, \text{N} \).

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