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 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 4.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
- 5.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 6.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 360 J of work. What force was used, in newtons?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 9.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 20 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 30 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 15.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 16.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 17.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 20.🏋️ 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)
- 21.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 180 N did 180 J of work. How many metres did the object move?
- 28.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 440 N did 880 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 31.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 320 N did 1600 J of work. How many metres did the object move?
- 34.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 190 N did 1520 J of work. How many metres did the object move?
- 36.🏋️ A force of 330 N did 330 J of work. How many metres did the object move?
- 37.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 250 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
Answer key
- 240
- 500
- no, work stays the same
- 140
- load ÷ effort
- 1360
- 120
- through a distance
- 6
- 200
- 4
- 90
- 4140
- 450
- joule (J)
- 220
- 850
- 2
- 330
- 350
- 220
- 4
- 1240
- 100
- 30
- 400
- 1
- 650
- 2
- 80
- 440
- 150
- 5
- 1160
- 8
- 1
- 100
- 1000
- 60
- 270
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