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Unit 3: Work, Energy, and Power

  1. Translational Kinetic Energy
  2. The Work-Energy Theorem
  3. Work Done by a Constant Force
  4. The Dot Product
  5. Work Done by a Variable Force
  6. Conservative and Nonconservative Forces
  7. Gravitational Potential Energy Near Earth
  8. Elastic Potential Energy
  9. Force from a Potential Energy Curve
  10. Gravitational Potential Energy Far from a Planet
  11. Conservation of Mechanical Energy
  12. Choosing a System for Energy
  13. Power
  14. Instantaneous Power

AP® Physics C: Mechanics · Unit 3 · Topic 3.2

Work Done by a Variable Force

Watch it drawn4 questionsPractice

Watch it explained

  1. How it worksHow do thin slices of F dx add up to the total work along a path?→
  2. Worked exampleFind the work done stretching a spring with k = 400 N/m from its relaxed length out to 0.15 m.→
  3. Worked exampleFind the work done by a force F(x) = 6x2 newtons moving an object from x = 1 m to x = 3 m.→
  4. Common mistakeWhy isn't the work done on a spring just the final force times the distance stretched?→

Check yourself

Your turn1 of 2
Find the work done stretching a spring with k = 379 N/m from its relaxed length out to 0.212 m.

End of topic.

Next: Conservative and Nonconservative Forces →
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