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 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 6 m took 1020 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
- 6.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 7.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 10.🏋️ Pushing a crate 9 m took 360 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 12.🏋️ 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?
- 13.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 16.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 18.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 5 m took 1700 J of work. What force was used, in newtons?
- 21.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 370 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ 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?
- 25.🏋️ 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?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 3 m took 780 J of work. What force was used, in newtons?
- 28.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 29.🏋️ 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
- 30.🏋️ A force of 450 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 35.🏋️ A force of 350 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 5
- 170
- 50
- 20
- 370
- load ÷ effort
- 100
- 410
- through a distance
- 40
- 2
- 100
- 420
- 400
- less effort
- 5
- 200
- 90
- 5
- 340
- 450
- 740
- 280
- 50
- 80
- 250
- 260
- joule (J)
- no, work stays the same
- 4050
- 690
- 570
- 350
- 240
- 700
- 600
- 4
- 300
- 3
- 4200
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