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 longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 2.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 4.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 5.🏋️ Pushing a crate 6 m took 1440 J of work. What force was used, in newtons?
- 6.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 8.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ Pushing a crate 8 m took 3120 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 11.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 16.🏋️ A force of 50 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 17.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 18.🏋️ A force of 80 N did 80 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 10 m took 600 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 10 m took 2500 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 22.🏋️ An 18 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 250 N did 500 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 32.🏋️ 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?
- 33.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 35.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 37.🏋️ A force of 300 N did 300 J of work. How many metres did the object move?
- 38.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 40.🏋️ A force of 350 N pushes a cart 2 m along the floor. How much work is done, in joules?
Answer key
- less effort
- 2200
- load ÷ effort
- no, work stays the same
- 240
- 2580
- 3
- 500
- 390
- through a distance
- 7
- 50
- 680
- 600
- joule (J)
- 250
- 330
- 1
- 60
- 250
- 6
- 720
- 2
- 110
- 20
- 500
- 2
- 1
- 750
- 360
- 10
- 700
- 8
- 200
- 800
- 3
- 1
- 170
- 500
- 700
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