Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 2.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 4.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 6.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 10.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 16.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 18.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 20.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 22.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 23.🏋️ A force of 470 N did 1410 J of work. How many metres did the object move?
- 24.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 3 m took 300 J of work. What force was used, in newtons?
- 27.🏋️ A force of 70 N did 280 J of work. How many metres did the object move?
- 28.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 31.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 33.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 34.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
- 37.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 2
- joule (J)
- through a distance
- 800
- load ÷ effort
- 800
- 220
- 30
- less effort
- 140
- 420
- 6
- 140
- 1800
- 5
- 150
- 190
- 1440
- no, work stays the same
- 180
- 9
- 160
- 3
- 3
- 440
- 100
- 4
- 50
- 2
- 3
- 600
- 320
- 1
- 2
- 380
- 120
- 100
- 2
- 3
- 270
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