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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
- 2.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 3.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 500 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 8.🏋️ 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?
- 9.🏋️ 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)
- 10.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 11.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 14.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 15.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 16.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 17.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ 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)
- 19.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 20.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 21.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 22.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 24.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 5 m took 2350 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 28.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 9 m took 1620 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 10 m took 4600 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 38.🏋️ A 16 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 170 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
Answer key
- 70
- joule (J)
- 30
- 1500
- 950
- 4
- 6
- 720
- 450
- 80
- 150
- 470
- 100
- 2
- load ÷ effort
- no, work stays the same
- 1000
- 250
- 3
- less effort
- 2
- 70
- through a distance
- 550
- 470
- 300
- 30
- 1200
- 3
- 110
- 650
- 2
- 180
- 20
- 460
- 50
- 90
- 480
- 1190
- 4
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