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.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 2.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 4.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 110 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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
- 8.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 13.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 15.🏋️ A force of 500 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 90 N did 90 J of work. How many metres did the object move?
- 17.🏋️ 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)
- 18.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 2 m took 940 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 24.🏋️ A force of 40 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 26.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 10 m took 300 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 6 m took 1260 J of work. What force was used, in newtons?
- 29.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 280 N did 1960 J of work. How many metres did the object move?
- 32.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 33.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 35.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 36.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- 350
- through a distance
- 4
- 660
- 400
- no, work stays the same
- 30
- 2
- 50
- 6
- 20
- 60
- 250
- 2000
- 1
- 50
- 200
- 470
- 4
- 9
- 350
- 390
- 240
- load ÷ effort
- 10
- 30
- 210
- 50
- 4000
- 7
- less effort
- 200
- 50
- 1
- 200
- 2
- 5
- 60
- 200
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