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 480 N did 1440 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 8 m took 2640 J of work. What force was used, in newtons?
- 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 4.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 5.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 8.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 8 m took 800 J of work. What force was used, in newtons?
- 11.🏋️ Pushing a crate 1 m took 160 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 5 m took 2200 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 14.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 15.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 16.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 18.🏋️ 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?
- 19.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 20.🏋️ Pushing a crate 8 m took 160 J of work. What force was used, in newtons?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 22.🏋️ 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?
- 23.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ 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?
- 27.🏋️ Pushing a crate 1 m took 430 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 9 m took 3870 J of work. What force was used, in newtons?
- 29.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ 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?
- 31.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 32.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 240 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 10 m took 5000 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 3
- 330
- less effort
- 320
- 6
- 760
- joule (J)
- 450
- 2
- 100
- 160
- 440
- 5
- load ÷ effort
- 160
- 60
- 280
- 450
- through a distance
- 20
- no, work stays the same
- 800
- 1
- 600
- 100
- 170
- 430
- 430
- 40
- 240
- 1
- 1000
- 550
- 500
- 1920
- 4
- 500
- 2
- 1000
- 350
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