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

Work: Topic Checklist (Physics C: Mechanics 3.2)

Specific “I can…” statements for work in the calculus-based course, from dot products and integrals to the work–energy theorem and path dependence, each linked to where it is tested.

Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.

Understanding

  • I can describe work as energy transferred into or out of a chosen system, and say what a positive, negative or zero value means. (Guide: “Work is an energy transfer”)
  • I can explain why a force perpendicular to the motion, such as the tension in uniform circular motion, does no work. (Guide: “The dot product and constant forces”; Practice Q2)
  • I can state what makes a force conservative, name gravity and springs as examples, and name friction and air resistance as nonconservative. (Guide: “Conservative and nonconservative forces”; Practice Q3)
  • I can decide when a system can be modelled as an object by comparing the motion of the point of application with the centre of mass. (Guide: “Object or system”; Practice Q6)

Calculation

  • I can calculate work with the dot product, from magnitudes and angle or from components. (Guide: component example and Worked example 2; Practice Q1)
  • I can integrate a variable force along a path, including the spring force −kx. (Guide: Worked example 1; Practice Q5(b))
  • I can find work as the signed area under a graph of F‖ against position. (Guide: Figure 1; Practice Q4)
  • I can use the work–energy theorem, with the work of every force, to find a speed. (Guide: Worked examples 1 and 2; Practice Q4(b))
  • I can find the energy removed by friction as friction force times path length. (Guide: Worked example 3)

Reasoning and derivation

  • I can derive the work–energy theorem from Newton’s second law using the chain rule. (Guide: “Net work and the work–energy theorem”; Practice Q5(a))
  • I can show that a force is nonconservative by finding different work along two paths, or non-zero work round a loop. (Guide: Worked example 3; Practice Q7)
  • I can explain where the energy comes from when a force does no work but the system still speeds up. (Practice Q6(c))

All ticked? Move on to Topic 3.3, Potential Energy, or return to the course roadmap.

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