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 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 5.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 8.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) effort ÷ load (d) load × effort
- 9.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 12.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 13.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 15.🏋️ 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?
- 16.🏋️ A force of 150 N did 1500 J of work. How many metres did the object move?
- 17.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 18.🏋️ A force of 460 N did 4600 J of work. How many metres did the object move?
- 19.🏋️ A force of 320 N pushes a cart 3 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 900 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 9 m took 4230 J of work. What force was used, in newtons?
- 23.🏋️ A force of 310 N did 2170 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 4 m took 1280 J of work. What force was used, in newtons?
- 28.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 10 m took 2900 J of work. What force was used, in newtons?
- 31.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 220 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 36.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 37.🏋️ A force of 370 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 9 m took 270 J of work. What force was used, in newtons?
- 39.🏋️ A force of 470 N did 3760 J of work. How many metres did the object move?
- 40.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 6
- 3
- 1230
- through a distance
- 120
- 9
- 5
- load ÷ effort
- 240
- 120
- 6
- joule (J)
- 200
- 6
- 850
- 10
- 9
- 10
- 960
- 450
- 350
- 470
- 7
- 5
- 700
- 340
- 320
- 240
- 440
- 290
- 200
- 360
- 600
- 400
- 440
- no, work stays the same
- 1850
- 30
- 8
- 300
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