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 longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 2.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 6 m took 420 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 13.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 18.🏋️ A force of 240 N did 720 J of work. How many metres did the object move?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 20.🏋️ A force of 300 N did 2400 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 4 m took 1320 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 28.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 20 N did 180 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 10 m took 3800 J of work. What force was used, in newtons?
- 32.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 33.🏋️ Pushing a crate 3 m took 360 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
- 36.🏋️ A force of 400 N did 1600 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- less effort
- 3
- 2
- 960
- 100
- 20
- 50
- 70
- 6
- 250
- 3
- through a distance
- 6
- 320
- 220
- 2
- 240
- 3
- no, work stays the same
- 8
- 6
- 9
- 420
- 330
- 6
- 9
- 240
- 60
- 9
- 2
- 380
- joule (J)
- 120
- 290
- 120
- 4
- 400
- 4
- 50
- 500
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