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.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 5 m took 50 J of work. What force was used, in newtons?
- 3.🏋️ A force of 470 N did 470 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 9 m took 1350 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 9.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 12.🏋️ Pushing a crate 4 m took 1400 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 14.🏋️ 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?
- 15.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 17.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 21.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 22.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 23.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ 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)
- 27.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 29.🏋️ A 19 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 force of 440 N did 440 J of work. How many metres did the object move?
- 31.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 33.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 200 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 230 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 160
- 10
- 1
- 150
- 70
- 3
- 5
- through a distance
- 130
- 750
- load ÷ effort
- 350
- 2
- 120
- 1000
- less effort
- 1080
- 250
- 250
- joule (J)
- 380
- no, work stays the same
- 3
- 90
- 650
- 450
- 600
- 2
- 190
- 1
- 540
- 3
- 6
- 1800
- 550
- 5
- 3
- 460
- 2
- 240
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