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.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 2.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
- 4.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 6.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 7.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 9 m took 2250 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 490 N did 1960 J of work. How many metres did the object move?
- 14.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 15.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 16.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 18.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 350 N did 350 J of work. How many metres did the object move?
- 20.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 7 m took 1890 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 9 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.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 29.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 30.🏋️ 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?
- 31.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 32.🏋️ A force of 430 N did 860 J of work. How many metres did the object move?
- 33.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 34.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 37.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 40
- 6
- 500
- 160
- less effort
- 340
- 100
- 3
- 290
- 370
- 250
- 700
- 4
- through a distance
- joule (J)
- 330
- 110
- 260
- 1
- 180
- 270
- 750
- 90
- 500
- 600
- 3
- 140
- 390
- 1
- 60
- 220
- 2
- load ÷ effort
- 8
- 6
- 450
- 110
- 210
- 1
- 200
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