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.🏋️ A force of 90 N did 360 J of work. How many metres did the object move?
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 3.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 4 m took 1920 J of work. What force was used, in newtons?
- 8.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 10.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 11.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 12.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 13.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 14.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 15.🏋️ A force of 320 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 350 N did 3150 J of work. How many metres did the object move?
- 17.🏋️ A force of 190 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 19.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 280 N did 560 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 110 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Pushing a crate 8 m took 1840 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 31.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 370 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
- 34.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 60 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 4
- through a distance
- 390
- 430
- 6
- 100
- 480
- 120
- 7
- load ÷ effort
- 60
- 2
- 1760
- joule (J)
- 640
- 9
- 190
- no, work stays the same
- 1680
- 2
- 200
- 660
- 430
- 4
- 480
- 850
- 150
- 150
- 230
- 240
- 900
- 3330
- 240
- 3500
- 900
- 480
- 4400
- 400
- 950
- 600
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