Practice · 12 problems · Paper

Printable Worksheet

Twelve problems to work by hand, from an elevator cable and a crate on a truck bed to a skydiver, a banked curve and a car towing a trailer up a grade. Print it, show your work in the space provided, then check your final answers here.

How to use this worksheet

  1. Print it, or save it as a PDF. Each problem gets a dotted work space. It fits on six Letter or A4 pages.
  2. Work on paper. Part A is Newton's second law, free-body diagrams and friction, Part B is cords, pulleys and forces that vary, and Part C is curved paths and systems of particles. Each problem names the lesson to review if you get stuck.
  3. Check your final answers with Show answer under each problem, or show them all at once. Only final answers are given here.

Part A · Newton's second law, diagrams and friction

Problems 1–4 · Basic to intermediate · Lessons 1–3

Part B · Cords, pulleys and forces that vary

Problems 5–8 · Intermediate to challenge · Lessons 4–5

Part C · Curved paths and systems of particles

Problems 9–12 · Basic to challenge · Lessons 6–8