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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 2.🏋️ A smooth ramp is 5 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 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 4.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 5.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 7.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 8.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 10.🏋️ A force of 240 N did 960 J of work. How many metres did the object move?
- 11.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 13.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 16.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 17.🏋️ A force of 410 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 340 N did 1360 J of work. How many metres did the object move?
- 19.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 21.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 27.🏋️ 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
- 28.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 29.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 3 m took 630 J of work. What force was used, in newtons?
- 31.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
- 33.🏋️ A force of 280 N did 1400 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
- 35.🏋️ 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?
- 36.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- load ÷ effort
- 450
- 4
- 420
- 9
- 480
- joule (J)
- 6
- 8
- 4
- 3
- 60
- 5
- 100
- 3
- through a distance
- 2870
- 4
- 700
- 440
- 7
- 2
- 50
- 850
- 4
- 2
- no, work stays the same
- 6
- 450
- 210
- 3
- 400
- 5
- 50
- 540
- 480
- 270
- 450
- 350
- 650
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