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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 2.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 5.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 6.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 9.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 10.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 12.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 13.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 20 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 410 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 400 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 26.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Pushing a crate 6 m took 1140 J of work. What force was used, in newtons?
- 29.🏋️ A force of 450 N did 450 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 30 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 36.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
Answer key
- joule (J)
- 2
- 380
- 1
- less effort
- 110
- 210
- 210
- load ÷ effort
- 650
- 40
- through a distance
- 800
- 20
- 5
- 850
- 1
- 4
- 2460
- 2400
- 5
- 2
- 4
- 5
- 2
- 8
- 550
- 190
- 1
- 60
- 6
- 800
- 240
- 800
- 5
- 400
- 10
- 350
- 250
- 6
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