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 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 5.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 6.🏋️ A force of 160 N did 320 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 4 m took 240 J of work. What force was used, in newtons?
- 9.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 210 N did 1260 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 16.🏋️ A force of 240 N did 1440 J of work. How many metres did the object move?
- 17.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 19.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 20.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 22.🏋️ 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)
- 23.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 5 m took 300 J of work. What force was used, in newtons?
- 25.🏋️ A force of 470 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 9 m took 3420 J of work. What force was used, in newtons?
- 28.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 29.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 34.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 36.🏋️ A force of 160 N did 480 J of work. How many metres did the object move?
- 37.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 100 N did 400 J of work. How many metres did the object move?
Answer key
- 2
- 270
- 200
- joule (J)
- load ÷ effort
- 2
- 140
- 60
- 470
- 6
- 410
- 250
- 550
- 1250
- 20
- 6
- 540
- 390
- 1380
- 400
- 9
- 100
- 330
- 60
- 1880
- 900
- 380
- through a distance
- 140
- 2
- 450
- 450
- 3
- 380
- no, work stays the same
- 3
- 430
- 150
- 300
- 4
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