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 smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 470 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 6.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 8.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 9.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 11.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 400 N did 3200 J of work. How many metres did the object move?
- 14.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 100 N did 800 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 9 m took 2430 J of work. What force was used, in newtons?
- 17.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 22.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 24.🏋️ Pushing a crate 2 m took 420 J of work. What force was used, in newtons?
- 25.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 26.🏋️ A force of 390 N did 1950 J of work. How many metres did the object move?
- 27.🏋️ 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
- 28.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 5 m took 1600 J of work. What force was used, in newtons?
- 32.🏋️ A force of 130 N did 910 J of work. How many metres did the object move?
- 33.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 36.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 3 m took 330 J of work. What force was used, in newtons?
- 40.🏋️ A force of 210 N pushes a cart 6 m along the floor. How much work is done, in joules?
Answer key
- 700
- 1440
- 220
- 3760
- less effort
- 700
- 9
- joule (J)
- 2
- 10
- 540
- 390
- 8
- 480
- 8
- 270
- 7
- 240
- 240
- 6
- 3
- 30
- load ÷ effort
- 210
- through a distance
- 5
- no, work stays the same
- 4
- 1040
- 6
- 320
- 7
- 300
- 2820
- 10
- 8
- 800
- 400
- 110
- 1260
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