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) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 3.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 4.🏋️ A force of 100 N did 400 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 7.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
- 8.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 9.🏋️ A force of 260 N did 1560 J of work. How many metres did the object move?
- 10.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 12.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 120 N did 840 J of work. How many metres did the object move?
- 16.🏋️ A force of 310 N did 2170 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 1 m took 80 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 4 m took 840 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 240 N did 720 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 8 m took 1440 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
- 29.🏋️ A force of 300 N did 1200 J of work. How many metres did the object move?
- 30.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ A 9 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 smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 34.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 40.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- load ÷ effort
- 4
- 4
- 110
- through a distance
- 6
- 2
- 6
- 120
- less effort
- 6
- 70
- 100
- 7
- 7
- 80
- 210
- 10
- 600
- 2
- 3
- 6
- 4
- 300
- 180
- 650
- 40
- 4
- 490
- 270
- 900
- 3
- 220
- 390
- 3
- 3
- 5
- joule (J)
- 160
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