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 force of 40 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 3.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 4.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 5.🏋️ Pushing a crate 8 m took 2560 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 270 N did 1080 J of work. How many metres did the object move?
- 9.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 13.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 14.🏋️ A 2 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.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 16.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 8 m took 80 J of work. What force was used, in newtons?
- 20.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 250 N did 1500 J of work. How many metres did the object move?
- 23.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 25.🏋️ 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?
- 26.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 7 m took 2870 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 30.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 31.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 10 m took 1800 J of work. What force was used, in newtons?
- 38.🏋️ A force of 200 N did 1000 J of work. How many metres did the object move?
- 39.🏋️ A force of 360 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 120 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- 400
- through a distance
- less effort
- no, work stays the same
- 320
- 370
- 650
- 4
- 190
- 2
- 330
- 10
- 10
- 40
- joule (J)
- 3
- 920
- 550
- 10
- 1
- 3
- 6
- 520
- load ÷ effort
- 120
- 40
- 410
- 100
- 60
- 6
- 700
- 540
- 330
- 180
- 2
- 180
- 180
- 5
- 2520
- 480
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