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 900 J of work. How many metres did the object move?
- 2.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 3.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 4.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 5.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 6.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 10.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 13.🏋️ Pushing a crate 3 m took 120 J of work. What force was used, in newtons?
- 14.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 15.🏋️ A force of 300 N did 2400 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 17.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 18.🏋️ A force of 260 N did 2340 J of work. How many metres did the object move?
- 19.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 5 m took 1800 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 10 m took 3700 J of work. What force was used, in newtons?
- 22.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 23.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 7 m took 3220 J of work. What force was used, in newtons?
- 25.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 26.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 470 N did 3760 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 480 N did 3840 J of work. How many metres did the object move?
- 31.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 34.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 35.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 160 N did 640 J of work. How many metres did the object move?
- 37.🏋️ A force of 50 N did 500 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 10 m took 4700 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 410 N pushes a cart 4 m along the floor. How much work is done, in joules?
Answer key
- 9
- 3
- through a distance
- 5
- load ÷ effort
- 300
- 320
- 800
- 350
- 20
- 1440
- 3
- 40
- no, work stays the same
- 8
- 4
- joule (J)
- 9
- 720
- 360
- 370
- less effort
- 4
- 460
- 1
- 4800
- 50
- 8
- 4
- 8
- 20
- 6
- 5
- 5
- 700
- 4
- 10
- 470
- 250
- 1640
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