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 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)
- 2.🏋️ A force of 180 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 3.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) watt hour (d) newton (N)
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 6.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 7.🏋️ Pushing a crate 2 m took 140 J of work. What force was used, in newtons?
- 8.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 5 m took 1150 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 14.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
- 15.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 220 N did 2200 J of work. How many metres did the object move?
- 20.🏋️ Pushing a crate 3 m took 1500 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.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 10 m took 3700 J of work. What force was used, in newtons?
- 26.🏋️ A force of 260 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ 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)
- 28.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 30.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 31.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 10 m took 5000 J of work. What force was used, in newtons?
- 37.🏋️ A force of 440 N did 4400 J of work. How many metres did the object move?
- 38.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 5 m took 200 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 3 m took 300 J of work. What force was used, in newtons?
Answer key
- 350
- 1080
- 80
- joule (J)
- no, work stays the same
- through a distance
- 70
- 2240
- 6
- 230
- 700
- 750
- 480
- 8
- 560
- 5
- 4
- 2
- 10
- 500
- 6
- 50
- 30
- 50
- 370
- 520
- 800
- 780
- 320
- less effort
- 2380
- 950
- 500
- 900
- 4
- 500
- 10
- 900
- 40
- 100
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