Jentoo™/Physics C: Mechanics
← Physics C: Mechanics

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

The Dot Product

Watch it drawn4 questionsPractice

Watch it explained

  1. How it worksHow does a dot product pick out the piece of one vector that lies along another?→
  2. How it worksHow do you compute a dot product straight from components without ever finding the angle?→
  3. Worked exampleFind the work done by a force of 3i + 4j newtons over a displacement of 5i - 2j meters.→
  4. Going furtherWhat does it tell you physically when the dot product of force and displacement is exactly zero?→

Check yourself

Your turn1 of 2
Find the work done by a force of 7i + 7j newtons over a displacement of 9i + -7j meters.

End of topic.

Next: Work Done by a Variable Force →
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