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 7 m took 2100 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 9 m took 1530 J of work. What force was used, in newtons?
- 3.🏋️ 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?
- 4.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 480 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 6.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 8.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 10.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 12.🏋️ A force of 420 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 13.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 14.🏋️ A force of 390 N did 2730 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 330 N did 2970 J of work. How many metres did the object move?
- 20.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 21.🏋️ A force of 330 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 410 N did 2870 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 5 m took 1400 J of work. What force was used, in newtons?
- 24.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 26.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 29.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 33.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 320 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 270 N did 810 J of work. How many metres did the object move?
Answer key
- 300
- 170
- 110
- 840
- 2400
- 3080
- 8
- 1900
- 90
- 150
- through a distance
- 2520
- no, work stays the same
- 7
- 1000
- 600
- 1000
- 1680
- 9
- joule (J)
- 1320
- 7
- 280
- 50
- 240
- 10
- 100
- load ÷ effort
- 900
- 880
- 2
- 5
- 5
- 2240
- 200
- 920
- 450
- 1290
- 250
- 3
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