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 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 4.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
- 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 force of 350 N did 350 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 10.🏋️ A force of 330 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 60 N did 600 J of work. How many metres did the object move?
- 12.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 14.🏋️ A force of 450 N did 900 J of work. How many metres did the object move?
- 15.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 16.🏋️ 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
- 17.🏋️ A force of 410 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 22.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 230 N did 920 J of work. How many metres did the object move?
- 24.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 25.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 240 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 28.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ 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)
- 32.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 6 m took 1740 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 2 m took 840 J of work. What force was used, in newtons?
- 35.🏋️ A force of 380 N did 1520 J of work. How many metres did the object move?
- 36.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 37.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 10 m took 4400 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 2
- 950
- joule (J)
- 210
- 80
- 150
- 1
- 100
- 350
- 1980
- 10
- 2
- 210
- 2
- through a distance
- no, work stays the same
- 820
- 400
- 320
- 750
- 1
- 130
- 4
- load ÷ effort
- 300
- 2400
- 4
- 600
- 5
- 80
- 1000
- 1
- 290
- 420
- 4
- 2
- 240
- 440
- 6
- 400
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