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 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 4.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 5.🏋️ 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?
- 6.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 7.🏋️ A 7 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.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ 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)
- 12.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 13.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 15.🏋️ A force of 380 N did 2660 J of work. How many metres did the object move?
- 16.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 17.🏋️ Pushing a crate 6 m took 2700 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 6 m took 420 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 20.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 21.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 22.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 28.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 5 m took 1950 J of work. What force was used, in newtons?
- 32.🏋️ A force of 370 N did 740 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 380 N did 2280 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 6 m took 1980 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
- 40.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
Answer key
- 4
- 1400
- no, work stays the same
- 10
- 570
- joule (J)
- 350
- load ÷ effort
- 450
- 450
- 600
- 280
- 1080
- 240
- 7
- less effort
- 450
- 70
- 3
- through a distance
- 8
- 500
- 200
- 110
- 40
- 800
- 1
- 10
- 2
- 200
- 390
- 2
- 850
- 6
- 900
- 330
- 3
- 400
- 190
- 5
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