Calculus › Section H · Applications of integrals › Topic H.5
Work
Push a box with a steady force and work is a simple product. But springs pull harder the further you stretch them, and water at the bottom of a tank climbs further than water at the top. When force or distance varies, work becomes an integral.
In this topic
- When force times distance breaks down
- The work integral
- Springs and Hooke's law
- Worked example: a spring in two stages
- Worked example: pumping a tank dry
- Winding up a hanging rope
- The pumping recipe, in general
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP