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.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 3.🏋️ A force of 240 N did 1440 J of work. How many metres did the object move?
- 4.🏋️ A force of 330 N did 1980 J of work. How many metres did the object move?
- 5.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 7.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 8.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 9.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 10.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 12.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 14.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 16.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 20.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 230 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 280 N did 1400 J of work. How many metres did the object move?
- 24.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 5 m took 1150 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 38.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
- 39.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 110 N pushes a cart 5 m along the floor. How much work is done, in joules?
Answer key
- 120
- 70
- 6
- 6
- 3840
- 6
- less effort
- 5
- no, work stays the same
- 630
- load ÷ effort
- 750
- joule (J)
- 650
- through a distance
- 560
- 5
- 50
- 1
- 300
- 1150
- 320
- 5
- 110
- 3
- 3
- 390
- 230
- 230
- 3
- 250
- 4
- 1920
- 440
- 90
- 7
- 320
- 2
- 100
- 550
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