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 4 m took 600 J of work. What force was used, in newtons?
- 2.🏋️ 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?
- 3.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 7.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 11.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 15.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 17.🏋️ 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)
- 18.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 7 m took 350 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 6 m took 120 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 26.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
- 28.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ 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?
- 30.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 500 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 5 m took 2200 J of work. What force was used, in newtons?
- 36.🏋️ 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)
- 37.🏋️ A force of 270 N did 810 J of work. How many metres did the object move?
- 38.🏋️ A force of 230 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 190 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 270 N did 2160 J of work. How many metres did the object move?
Answer key
- 150
- 500
- 240
- 450
- 700
- through a distance
- 3420
- joule (J)
- 900
- less effort
- 150
- 1380
- 3
- 6
- 360
- 8
- 150
- 2250
- 50
- 20
- 450
- 20
- 100
- 300
- load ÷ effort
- 3
- 130
- 260
- 340
- 420
- 1000
- 10
- 280
- 50
- 440
- 250
- 3
- 230
- 1900
- 8
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