Engineering · lesson 15 of 24 · free

Mechanical advantage and work — Engineering for kids

Mechanical advantage (MA) tells how many times a machine multiplies your force: MA = load ÷ effort. Work is done when a force moves something: work (joules, J) = force (newtons) × distance (metres). A ramp lets you push a heavy box up with a smaller force over a longer distance; for an ideal (frictionless) ramp, effort = load × height ÷ length. Machines never reduce the work — they trade force for distance.

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Engineer's tip

Less force, more distance — “machines multiply force but the work (force × distance) stays the same”

  1. MA = load ÷ effort.
  2. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force.
  3. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.

Use it for: Physics lessons on work and machines, wheelchair ramps and loading trucks.

Worked example: 🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction) → 50

  1. Length ÷ height = 8 ÷ 2 = 4, so the ramp has MA 4.
  2. Effort = 200 ÷ 4 = 50 N.

Check: Work up the ramp 50 N × 8 m = 400 J = lifting 200 N × 2 m ✓

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🖨️ Engineering Worksheet: Mechanical Advantage and Work

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