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 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 2.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 3.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 4.🏋️ A force of 300 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 8.🏋️ 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)
- 9.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 180 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
- 13.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 14.🏋️ A force of 350 N did 3150 J of work. How many metres did the object move?
- 15.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 16.🏋️ A 3 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 force of 130 N did 260 J of work. How many metres did the object move?
- 18.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 28.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?
- 31.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 240 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
- 35.🏋️ A force of 170 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 37.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 10 m took 3300 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 6
- joule (J)
- through a distance
- 900
- 400
- 3
- 130
- 1000
- 80
- 5
- 1800
- 6
- no, work stays the same
- 9
- load ÷ effort
- 60
- 2
- 200
- 3
- 3
- 5
- 800
- 170
- 650
- 440
- 470
- 360
- 3
- 6
- 80
- 400
- 960
- 5
- 7
- 510
- 150
- 240
- 330
- 3
- 150
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