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 9 m took 1710 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 4.🏋️ 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
- 5.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 6.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 7.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ 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)
- 13.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 18.🏋️ A force of 220 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 21.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 6 m took 1380 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 180 N did 1080 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 27.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 28.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 30.🏋️ A force of 490 N did 4410 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 34.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 3 m took 1050 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 8 m took 2480 J of work. What force was used, in newtons?
- 38.🏋️ A force of 400 N did 800 J of work. How many metres did the object move?
- 39.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 9 m took 4230 J of work. What force was used, in newtons?
Answer key
- 190
- 50
- 270
- no, work stays the same
- 200
- load ÷ effort
- 250
- 270
- 2
- 4
- 350
- 150
- 240
- 3
- 350
- 300
- less effort
- 220
- 60
- joule (J)
- 680
- 230
- 450
- 6
- 5
- 60
- 10
- 3
- 270
- 9
- 2
- 300
- through a distance
- 10
- 7
- 350
- 310
- 2
- 1
- 470
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