A 58 kg rollerblader skates across a skating rink floor. The graph below shows the net external force component acting on the skater along the displacement as a function of the magnitude of the displacement d. Calculate the following: (a) the work done (in J) by the force on the rollerblader as he moves from 0 to 20.0 m  J (b) the work done (in J) by the force acting on the rollerblader from 20.0 m to 30.0 m

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Chapter1: Units, Trigonometry. And Vectors
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A 58 kg rollerblader skates across a skating rink floor. The graph below shows the net external force component acting on the skater along the displacement as a function of the magnitude of the displacement d.
Calculate the following:
(a)
the work done (in J) by the force on the rollerblader as he moves from 0 to 20.0 m
 J
(b)
the work done (in J) by the force acting on the rollerblader from 20.0 m to 30.0 m
 J
### Force vs Displacement Graph

This graph illustrates the relationship between force (measured in Newtons, N) and displacement (measured in meters, m). 

#### Key Features:

- **Horizontal Segment (0 to 20 meters):**
  - The force remains constant at 100 N while the displacement increases from 0 to 20 meters. This horizontal line suggests that there is no change in force being applied through this region.

- **Vertical Dotted Line (at 20 meters):**
  - Marks the transition point where the behavior of force versus displacement changes.

- **Descending Segment (20 to 30 meters):**
  - Beyond 20 meters, the force decreases linearly from 100 N to 0 N at 30 meters. This downward slope indicates a gradual reduction of force with increasing displacement.

This graph is a useful representation of scenarios such as materials under constant load until a specific point, followed by unloading or a decrease in applied force.
Transcribed Image Text:### Force vs Displacement Graph This graph illustrates the relationship between force (measured in Newtons, N) and displacement (measured in meters, m). #### Key Features: - **Horizontal Segment (0 to 20 meters):** - The force remains constant at 100 N while the displacement increases from 0 to 20 meters. This horizontal line suggests that there is no change in force being applied through this region. - **Vertical Dotted Line (at 20 meters):** - Marks the transition point where the behavior of force versus displacement changes. - **Descending Segment (20 to 30 meters):** - Beyond 20 meters, the force decreases linearly from 100 N to 0 N at 30 meters. This downward slope indicates a gradual reduction of force with increasing displacement. This graph is a useful representation of scenarios such as materials under constant load until a specific point, followed by unloading or a decrease in applied force.
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