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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 2.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 5.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 6.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 9.🏋️ A force of 220 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 11.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 12.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 14.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 9 m took 3960 J of work. What force was used, in newtons?
- 19.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ 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?
- 21.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 23.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 4 m took 1320 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 27.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 28.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 29.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 420 N did 3780 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 10 m took 3300 J of work. What force was used, in newtons?
- 34.🏋️ A force of 160 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 6 m took 240 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 110 N did 110 J of work. How many metres did the object move?
- 38.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 10 m took 3900 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 9 m took 4050 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 750
- 2
- 280
- 1
- 5
- 600
- joule (J)
- 880
- less effort
- load ÷ effort
- 470
- 350
- 7
- 480
- 700
- 2200
- 440
- 510
- 720
- 60
- 90
- 150
- 6
- 330
- 90
- 1
- through a distance
- 200
- 320
- 2
- 9
- 330
- 1600
- 40
- 6
- 1
- 3870
- 390
- 450
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