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 140 N did 700 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 3.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 5.🏋️ A force of 10 N did 10 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 3 m took 1110 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 11.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 12.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 13.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 14.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 8 m took 2800 J of work. What force was used, in newtons?
- 17.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 18.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
- 21.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ 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?
- 26.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 29.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 240 N did 2400 J of work. How many metres did the object move?
- 33.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 35.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 6 m took 1800 J of work. What force was used, in newtons?
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
Answer key
- 5
- 90
- 4
- 470
- 1
- 650
- 200
- 410
- 370
- 2
- joule (J)
- through a distance
- 5
- 720
- 1680
- 350
- less effort
- 100
- 3
- 140
- 120
- load ÷ effort
- 800
- 100
- 850
- 300
- 6
- 340
- 10
- 100
- 50
- 10
- 40
- 90
- 80
- 5
- 300
- 100
- 60
- 290
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