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 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 2.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 3.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 4.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 5.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ 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?
- 8.🏋️ Pushing a crate 4 m took 1720 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 370 N did 2960 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
- 14.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 15.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 16.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ An 18 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.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 20.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 410 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 23.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 24.🏋️ A force of 440 N did 3080 J of work. How many metres did the object move?
- 25.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 27.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 31.🏋️ 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?
- 32.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 37.🏋️ A force of 500 N did 4500 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
Answer key
- 2
- less effort
- joule (J)
- 220
- 1
- 6
- 450
- 430
- 5
- 8
- 850
- 680
- 4
- 80
- through a distance
- 150
- 550
- 540
- 370
- 360
- 2050
- 6
- no, work stays the same
- 7
- 150
- load ÷ effort
- 320
- 250
- 4100
- 8
- 510
- 200
- 250
- 500
- 360
- 150
- 9
- 2
- 5
- 4
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