Work By Variable Force (graph)
Mediumphysics
Force on a particle varies linearly from 0 to 20 N over 4 m (F vs x triangle). Work done?
Select the correct option:
Solution
Incorrect! Answer:
40 J
- Variable Force Work: For a force that changes with position, work is the integral W=∫F(x)dx.
- Graphical Interpretation: On a Force vs Position (F-x) graph, this integral corresponds to the area under the curve.
- Identify Geometry: The graph is a triangle starting at (0,0) and ending at (4,20).
- Calculate Area:
- Area=21×base×height
- Area=21×4 m×20 N=40 J.
- Conclusion: The work done by the variable force is 40 J.
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About This Question
- Subject
- physics
- Chapter
- work, energy and power
- Topic
- work by variable force (graph)
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
40 J
- Variable Force Work: For a force that changes with position, work is the integral W=∫F(x)dx.
- Graphical Interpretation: On a Force vs Position (F-x) graph, this integral corresponds to the area under the curve.
- Identify Geometry: The graph is a triangle starting at (0,0) and ending at (4,20).
- Calculate Area:
- Area=21×base×height
- Area=21×4 m×20 N=40 J.
- Conclusion: The work done by the variable force is 40 J.
This medium difficulty physics question is from the chapter work, energy and power, covering the topic of work by variable force (graph). It appeared in the 2025 exam.
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