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 120 N did 840 J of work. How many metres did the object move?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 3.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 4.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 6.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ A force of 340 N did 2040 J of work. How many metres did the object move?
- 8.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 11.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 13.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 14.🏋️ A force of 440 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 440 N did 2200 J of work. How many metres did the object move?
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
- 22.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 23.🏋️ A force of 210 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 4 m took 640 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 4 m took 1720 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 3 m took 1290 J of work. What force was used, in newtons?
- 34.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 320 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A 20 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 force of 180 N did 540 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 7
- no, work stays the same
- through a distance
- 20
- 300
- 550
- 6
- 1260
- 5
- less effort
- 70
- load ÷ effort
- joule (J)
- 440
- 5
- 400
- 950
- 4
- 390
- 2
- 2
- 7
- 1260
- 160
- 6
- 100
- 430
- 6
- 720
- 2820
- 30
- 3
- 430
- 2100
- 2880
- 5
- 920
- 600
- 3
- 900
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