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 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 4.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 5.🏋️ A force of 390 N did 1560 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 9.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 70 N did 280 J of work. How many metres did the object move?
- 11.🏋️ A force of 30 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 50 N did 250 J of work. How many metres did the object move?
- 13.🏋️ A force of 370 N did 1850 J of work. How many metres did the object move?
- 14.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 17.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A force of 30 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 100 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 120 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 25.🏋️ A force of 250 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 28.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 29.🏋️ A force of 340 N did 2040 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 9 m took 4320 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 6 m took 2760 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 33.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 37.🏋️ A 3 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 force of 110 N did 550 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 440 N did 3080 J of work. How many metres did the object move?
Answer key
- 120
- 180
- no, work stays the same
- load ÷ effort
- 4
- 70
- 60
- through a distance
- 2
- 4
- 150
- 5
- 5
- 2
- 1540
- 2
- 130
- 210
- 300
- 600
- 720
- 2
- 120
- 140
- 1750
- 180
- 4
- less effort
- 6
- 480
- 460
- 350
- 40
- 350
- 1000
- joule (J)
- 150
- 5
- 5
- 7
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