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 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 4.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
- 5.🏋️ A force of 260 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 7.🏋️ Pushing a crate 1 m took 310 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 230 N did 460 J of work. How many metres did the object move?
- 10.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 12.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 14.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 15.🏋️ A force of 10 N did 60 J of work. How many metres did the object move?
- 16.🏋️ A force of 290 N did 580 J of work. How many metres did the object move?
- 17.🏋️ 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?
- 18.🏋️ A force of 60 N did 240 J of work. How many metres did the object move?
- 19.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 22.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 60 N did 60 J of work. How many metres did the object move?
- 24.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
- 26.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 420 N did 2100 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 32.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 5 m took 650 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 3 m took 30 J of work. What force was used, in newtons?
Answer key
- 3
- 6
- no, work stays the same
- 390
- 2600
- through a distance
- 310
- 2
- 2
- 550
- 2
- 1000
- 200
- joule (J)
- 6
- 2
- 110
- 4
- 170
- 1000
- load ÷ effort
- 20
- 1
- 50
- 1
- 1470
- 510
- 580
- 5
- 5
- 190
- 2250
- 2
- 280
- 4
- 630
- 250
- 2
- 130
- 10
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