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.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 3 m took 90 J of work. What force was used, in newtons?
- 3.🏋️ A 19 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 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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?
- 8.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 10.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 12.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 2 m took 460 J of work. What force was used, in newtons?
- 14.🏋️ A force of 380 N did 1900 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Pushing a crate 4 m took 1280 J of work. What force was used, in newtons?
- 17.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 18.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
- 19.🏋️ A force of 230 N did 460 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 22.🏋️ Pushing a crate 4 m took 600 J of work. What force was used, in newtons?
- 23.🏋️ 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)
- 24.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 6 m took 1800 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 3 m took 1290 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 30.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 31.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) no effort (d) more effort
- 32.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 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 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 400
- 30
- 570
- 490
- 180
- 250
- 160
- 600
- load ÷ effort
- 450
- 8
- 100
- 230
- 5
- 700
- 320
- no, work stays the same
- 1
- 2
- 1000
- through a distance
- 150
- 150
- 140
- 2
- 300
- 430
- 200
- 5
- joule (J)
- less effort
- 3
- 300
- 2
- 960
- 1440
- 500
- 600
- 950
- 20
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