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 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 4.🏋️ A force of 30 N did 30 J of work. How many metres did the object move?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 6.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 9.🏋️ A force of 340 N did 3060 J of work. How many metres did the object move?
- 10.🏋️ A force of 400 N did 4000 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 4 m took 1640 J of work. What force was used, in newtons?
- 12.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 13.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 14.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 70 N did 490 J of work. How many metres did the object move?
- 17.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
- 21.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 22.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 1 m took 460 J of work. What force was used, in newtons?
- 24.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 160 N did 1280 J of work. How many metres did the object move?
- 29.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 9 m took 180 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
Answer key
- 300
- 250
- load ÷ effort
- 1
- joule (J)
- 130
- 130
- 330
- 9
- 10
- 410
- through a distance
- no, work stays the same
- 440
- 640
- 7
- 1960
- 430
- 50
- 320
- less effort
- 10
- 460
- 130
- 600
- 1
- 500
- 8
- 3600
- 4
- 2
- 380
- 20
- 2
- 270
- 80
- 1000
- 150
- 4
- 6
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