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.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 2.🏋️ A force of 330 N did 3300 J of work. How many metres did the object move?
- 3.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 4.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 6.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 9.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 5 m took 1450 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 500 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 8 m took 3520 J of work. What force was used, in newtons?
- 20.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 4 m took 320 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 10 m took 1900 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 8 m took 2320 J of work. What force was used, in newtons?
- 27.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 31.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 34.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 35.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 37.🏋️ A 4 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 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 40.🏋️ A force of 430 N did 860 J of work. How many metres did the object move?
Answer key
- joule (J)
- 10
- less effort
- 6
- 390
- 420
- 850
- no, work stays the same
- 4
- 1
- 100
- 5
- 390
- 290
- 3
- 2240
- 3000
- 2
- 440
- 3430
- 80
- 3
- 150
- 80
- 190
- 290
- 1760
- 120
- 760
- through a distance
- 400
- 290
- 220
- load ÷ effort
- 370
- 10
- 200
- 4
- 110
- 2
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