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 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 4 m took 1680 J of work. What force was used, in newtons?
- 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 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 6.🏋️ Pushing a crate 10 m took 4300 J of work. What force was used, in newtons?
- 7.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 8.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 10.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 11.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Pushing a crate 10 m took 3300 J of work. What force was used, in newtons?
- 17.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 18.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ Pushing a crate 4 m took 920 J of work. What force was used, in newtons?
- 20.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 90 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 25.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ 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
- 31.🏋️ Pushing a crate 8 m took 3760 J of work. What force was used, in newtons?
- 32.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 36.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 37.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 38.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
Answer key
- 90
- 420
- through a distance
- 190
- 3
- 430
- 2580
- less effort
- load ÷ effort
- 3
- 110
- 150
- 950
- 90
- 150
- 330
- 410
- 1440
- 230
- 1000
- 720
- 50
- 720
- 1
- 3
- 4
- 220
- 450
- 300
- no, work stays the same
- 470
- 440
- 150
- 180
- 150
- 10
- joule (J)
- 540
- 2
- 150
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