The force acting on a partidle varies as shown in the figure below. (The x axis in the graph has its tickmarks marked in increments of 2.00 m.) F, (N) B. 2 x (m) D. Find the work done by the force on the particle as it moves across the following distances. (a) from x =0 m to x= 16.00 m (b) from x= 16.00 m to x 24.00 m (c) from x = 0m to x = 24.00 m

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The force acting on a particle varies as shown in the figure below. (The x-axis in the graph has its tick marks marked in increments of 2.00 m.)

[Graph showing force vs. distance]

- The graph plots \( F_x \) (N) on the y-axis against \( x \) (m) on the x-axis.
- The graph is a piecewise linear graph with the following key points:
  - Point A: (0, 0)
  - Point B: (4, 6)
  - Point C: (8, 0)
  - Point D: (16, -2)
  - Point E: (24, 0)
- The graph consists of straight lines connecting these points: from A to B, B to C, C to D, and D to E.

Find the work done by the force on the particle as it moves across the following distances:
- (a) From \( x = 0 \) m to \( x = 16.00 \) m
- (b) From \( x = 16.00 \) m to \( x = 24.00 \) m
- (c) From \( x = 0 \) m to \( x = 24.00 \) m
Transcribed Image Text:The force acting on a particle varies as shown in the figure below. (The x-axis in the graph has its tick marks marked in increments of 2.00 m.) [Graph showing force vs. distance] - The graph plots \( F_x \) (N) on the y-axis against \( x \) (m) on the x-axis. - The graph is a piecewise linear graph with the following key points: - Point A: (0, 0) - Point B: (4, 6) - Point C: (8, 0) - Point D: (16, -2) - Point E: (24, 0) - The graph consists of straight lines connecting these points: from A to B, B to C, C to D, and D to E. Find the work done by the force on the particle as it moves across the following distances: - (a) From \( x = 0 \) m to \( x = 16.00 \) m - (b) From \( x = 16.00 \) m to \( x = 24.00 \) m - (c) From \( x = 0 \) m to \( x = 24.00 \) m
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