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 machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 6 m took 1260 J of work. What force was used, in newtons?
- 5.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 6.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 430 N did 4300 J of work. How many metres did the object move?
- 9.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 11.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 360 N did 1800 J of work. How many metres did the object move?
- 13.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 14.🏋️ Pushing a crate 5 m took 1800 J of work. What force was used, in newtons?
- 15.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 16.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 17.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 470 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 24.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 27.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 29.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 30.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 3 m took 300 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 150 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 36.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 500 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
Answer key
- 4
- 1440
- 100
- 210
- less effort
- 6
- 3
- 10
- 240
- no, work stays the same
- 150
- 5
- through a distance
- 360
- 900
- load ÷ effort
- 240
- 180
- 4
- 500
- 900
- 4700
- 430
- 430
- 2
- 140
- 1250
- 4
- joule (J)
- 360
- 850
- 100
- 800
- 1500
- 20
- 840
- 3000
- 2
- 250
- 6
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