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.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 7.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 170 N did 1700 J of work. How many metres did the object move?
- 9.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 10.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 13.🏋️ A force of 120 N did 120 J of work. How many metres did the object move?
- 14.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 15.🏋️ A force of 390 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 8 m took 480 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 force of 130 N did 1170 J of work. How many metres did the object move?
- 19.🏋️ A force of 270 N did 1080 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 9 m took 450 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 25.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 27.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 28.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 320 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 36.🏋️ A force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 38.🏋️ 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)
- 39.🏋️ A force of 270 N did 810 J of work. How many metres did the object move?
- 40.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
Answer key
- 120
- 2
- 4
- 2080
- 800
- no, work stays the same
- 2
- 10
- through a distance
- 900
- 290
- 200
- 1
- less effort
- 1560
- 60
- load ÷ effort
- 9
- 4
- 380
- 50
- 300
- 6
- 340
- 500
- 150
- joule (J)
- 320
- 160
- 3
- 20
- 200
- 1200
- 1280
- 3
- 1500
- 5
- 250
- 3
- 5
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