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.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 2.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 20 N did 60 J of work. How many metres did the object move?
- 4.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 5.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 6.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 7.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 8.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 10.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 130 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 6 m took 1920 J of work. What force was used, in newtons?
- 16.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 21.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 22.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 23.🏋️ A force of 430 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 390 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 26.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 120 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- 850
- 3
- through a distance
- 2
- 800
- load ÷ effort
- 7
- 6
- 150
- 260
- 90
- 50
- 70
- 320
- 950
- 8
- 3
- 500
- 470
- 7
- no, work stays the same
- 2150
- 2340
- 110
- 160
- 200
- 350
- 1400
- 3
- 2080
- 190
- 5
- 1200
- 700
- 3
- 1080
- 3
- 600
- 350
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