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 force of 240 N did 1920 J of work. How many metres did the object move?
- 2.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 6.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 7.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 8.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 11.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 12.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 15.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 390 N did 2340 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 19.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 27.🏋️ 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?
- 28.🏋️ A force of 430 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
- 31.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 32.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 34.🏋️ A force of 400 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 36.🏋️ 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?
- 37.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 370 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 4 m took 1680 J of work. What force was used, in newtons?
Answer key
- 8
- 300
- 250
- 100
- load ÷ effort
- 4
- no, work stays the same
- 4
- 1000
- less effort
- 390
- 6
- 600
- 430
- 140
- 6
- 250
- joule (J)
- 4
- 6
- 280
- 6
- 850
- 90
- 3600
- 430
- 120
- 3440
- 3
- 120
- through a distance
- 9
- 380
- 4000
- 460
- 140
- 400
- 900
- 2590
- 420
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