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 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 20 N did 120 J of work. How many metres did the object move?
- 5.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 6.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ 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
- 10.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 13.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 14.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 17.🏋️ Pushing a crate 9 m took 630 J of work. What force was used, in newtons?
- 18.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 19.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 380 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 330 N did 1650 J of work. How many metres did the object move?
- 22.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 23.🏋️ Pushing a crate 4 m took 1080 J of work. What force was used, in newtons?
- 24.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ 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?
- 29.🏋️ A force of 20 N did 20 J of work. How many metres did the object move?
- 30.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ 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)
- 32.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 34.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
- 35.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 250 N did 2000 J of work. How many metres did the object move?
- 39.🏋️ Pushing a crate 7 m took 3010 J of work. What force was used, in newtons?
- 40.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 150
- 720
- 1100
- 6
- 2
- 150
- 500
- 750
- no, work stays the same
- 110
- 250
- 430
- joule (J)
- 1380
- 700
- through a distance
- 70
- 10
- 1050
- 380
- 5
- load ÷ effort
- 270
- 4
- 850
- 570
- 550
- 800
- 1
- 120
- 250
- 4
- 200
- 5
- 2
- 950
- 1960
- 8
- 430
- 200
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