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 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 4.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 5.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 7.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 9.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 10.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 11.🏋️ A 10 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.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 10 m took 5000 J of work. What force was used, in newtons?
- 17.🏋️ A force of 230 N did 230 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 470 N did 3290 J of work. How many metres did the object move?
- 22.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 24.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 29.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 8 m took 2560 J of work. What force was used, in newtons?
- 32.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 37.🏋️ A force of 90 N did 900 J of work. How many metres did the object move?
- 38.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 39.🏋️ A force of 280 N did 1960 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
Answer key
- 5
- 800
- joule (J)
- 150
- 720
- less effort
- 5
- through a distance
- 200
- load ÷ effort
- 300
- 500
- 60
- 650
- 240
- 500
- 1
- 4
- 750
- 50
- 7
- 2730
- 160
- 1350
- 330
- 700
- 60
- 4
- 20
- 5
- 320
- 3840
- 3
- 2
- 800
- 30
- 10
- 3
- 7
- 6
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