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Science · Grades 8–11

Mechanical work

For a constant force parallel to displacement, cos θ = 1.

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The key idea

For a constant force parallel to displacement, cos θ = 1.

W = Fd cos θ

Worked examples

A constant 28 N force acts in the same direction as a 34 m displacement. Find work in J.

28 × 34 = 952

952 J

A constant 42 N force acts in the same direction as a 22 m displacement. Find work in J.

42 × 22 = 924

924 J

Try it yourself

  1. A constant 89 N force acts in the same direction as a 36 m displacement. Find work in J.

  2. A constant 26 N force acts in the same direction as a 15 m displacement. Find work in J.

Check your understanding

Answers and marking notes
  1. 3204 J

    89 × 36 = 3204

  2. 390 J

    26 × 15 = 390

Further reading and review references

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Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.