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.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 2.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 3.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 210 N did 1260 J of work. How many metres did the object move?
- 5.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 7.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 10.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 17.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 18.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 19.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 480 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 7 m took 140 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 4 m took 960 J of work. What force was used, in newtons?
- 32.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 10 m took 2300 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 440 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 40.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- through a distance
- joule (J)
- 50
- 6
- 650
- no, work stays the same
- 5
- 750
- 2030
- 330
- 3
- 8
- 6
- 400
- 70
- 390
- load ÷ effort
- less effort
- 700
- 170
- 340
- 300
- 5
- 200
- 1920
- 360
- 5
- 4
- 570
- 20
- 240
- 130
- 6
- 3
- 700
- 230
- 6
- 3
- 1320
- 340
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