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 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ 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)
- 3.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 5.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 6.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 7.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 4 m took 1640 J of work. What force was used, in newtons?
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 10.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 11.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 9 m took 4320 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 8 m took 2000 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 6 m took 1980 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 320 N did 1920 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 19.🏋️ A force of 360 N did 2160 J of work. How many metres did the object move?
- 20.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 120 N did 360 J of work. How many metres did the object move?
- 28.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 8 m took 2560 J of work. What force was used, in newtons?
- 33.🏋️ A force of 80 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 5 m took 1400 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 6 m took 1380 J of work. What force was used, in newtons?
- 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 38.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 39.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 40.🏋️ A force of 150 N did 1050 J of work. How many metres did the object move?
Answer key
- 200
- 600
- 750
- through a distance
- no, work stays the same
- 90
- 240
- 410
- load ÷ effort
- 6
- 160
- 4
- 480
- 250
- 330
- 550
- 6
- 10
- 6
- 960
- 350
- 4
- 850
- 30
- 3
- 350
- 3
- 100
- 5
- 760
- 560
- 320
- 800
- 280
- 230
- 650
- 1
- joule (J)
- 3
- 7
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