Free AP Physics C lesson

Dot Product & Work Basics

This AP Physics C: Mechanics lesson is designed for AP Physics C self-study. It includes 3 video lessons, 4 practice questions, and an estimated completion time of 20 minutes.

Video lessons

  1. The Scalar Product or Dot Product for Physics

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  2. Dot Product

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  3. The Work Done by a Varying Force

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Practice covered

  1. Why is the dot product also called the scalar product?
  2. Calculate vecA cdot vecB where vecA = 6hati + 4hatj and vecB = 3hati - 2hatj.
  3. Given two vectors vecA and vecB at an angle theta between them (tail to tail), which expression correctly represents vecA cdot vecB?
  4. A force varies with position according to F(x) = 1 / 2x^2. What integral expression represents the work done by this force as an object moves from x = 0 to x = 3 m?
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