THE PRACTICE STUDIO

Go slowly. Ask why. Make it yours.

PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Dot product

A force acts obliquely to displacement

A constant force is (4i + 3j) N and the displacement is (2i − j) m.

How much work does this force do?

Organize the givens & assumptions
  • F = (4, 3) N
  • Δr = (2, −1) m

Constant force during the given displacement; both vectors use the same orthonormal axes.

  1. A−5 J-5\ \mathrm J
  2. B5 J5\ \mathrm J
  3. C11 J11\ \mathrm J
  4. D55 J5\sqrt5\ \mathrm J

Try it on paper first. Free sample problems in every collection include the complete reasoning: find one in this collection →