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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 3.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 5.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 6.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 350 N did 700 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 500 N did 3000 J of work. How many metres did the object move?
- 10.🏋️ A force of 250 N did 1250 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 12.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 13.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 370 N did 3700 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 20.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 23.🏋️ 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?
- 24.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 2 m took 200 J of work. What force was used, in newtons?
- 26.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 27.🏋️ A force of 370 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 2 m took 580 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 10 m took 4100 J of work. What force was used, in newtons?
- 32.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 40 N did 400 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 35.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
- 36.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 37.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 38.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 39.🏋️ A force of 350 N did 3500 J of work. How many metres did the object move?
- 40.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- load ÷ effort
- no, work stays the same
- 500
- 4
- joule (J)
- 840
- 2
- 3
- 6
- 5
- 330
- less effort
- 3
- 3
- 600
- 250
- 10
- 110
- through a distance
- 80
- 300
- 5
- 300
- 350
- 100
- 10
- 2220
- 240
- 50
- 290
- 410
- 320
- 10
- 290
- 10
- 1
- 10
- 9
- 10
- 450
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