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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 2.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 4.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 5.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 490 N did 2940 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 8.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 11.🏋️ A force of 180 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 13.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 250 N did 1000 J of work. How many metres did the object move?
- 15.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 18.🏋️ A force of 200 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 20.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 300 N did 1200 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 3 m took 840 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ 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?
- 26.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 30.🏋️ A force of 310 N did 620 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 32.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 34.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 470 N did 470 J of work. How many metres did the object move?
- 40.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
Answer key
- no, work stays the same
- 240
- 3
- load ÷ effort
- 150
- 6
- 3
- 60
- 750
- less effort
- 1080
- 350
- 780
- 4
- 280
- 5
- joule (J)
- 1800
- 40
- 620
- 950
- 4
- 280
- 750
- 270
- 800
- 470
- 3
- 110
- 2
- 170
- 10
- 130
- 20
- 3780
- 5
- 390
- 5
- 1
- through a distance
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