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.
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- 1.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 2.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 3.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 5.🏋️ Pushing a crate 10 m took 2300 J of work. What force was used, in newtons?
- 6.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 160 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 11.🏋️ Pushing a crate 1 m took 330 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 310 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 16.🏋️ Pushing a crate 7 m took 1750 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 8 m took 2480 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 20.🏋️ A force of 210 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 230 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 120 N did 1080 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 29.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 5 m took 1550 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 10 m took 4000 J of work. What force was used, in newtons?
- 32.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 390 N did 3120 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 38.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 39.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 40.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
Answer key
- 7
- 6
- 2
- 1
- 230
- 460
- 480
- 440
- 30
- load ÷ effort
- 330
- 150
- 4
- 2790
- less effort
- 250
- 500
- 310
- through a distance
- 210
- 620
- 2070
- 9
- 5
- 320
- 280
- 370
- 250
- 9
- 310
- 400
- 4
- 200
- 8
- 2
- 10
- 5
- no, work stays the same
- joule (J)
- 10
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