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.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 2.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 4.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 5.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 11.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 500 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 430 N did 3440 J of work. How many metres did the object move?
- 14.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 5 m took 150 J of work. What force was used, in newtons?
- 16.🏋️ 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
- 17.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 19.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 23.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 25.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 420 N did 1260 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 29.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 30.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 31.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 10 m took 2700 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 5 m took 2350 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 430 N did 3010 J of work. How many metres did the object move?
- 36.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 38.🏋️ A 20 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.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- through a distance
- 950
- 4
- joule (J)
- 700
- 720
- 60
- 150
- 70
- 9
- 700
- 1500
- 8
- 1110
- 30
- no, work stays the same
- 300
- 490
- 350
- 3
- 3
- 340
- 250
- less effort
- 2450
- 3
- 4
- 6
- load ÷ effort
- 9
- 170
- 270
- 470
- 3
- 7
- 300
- 4
- 600
- 110
- 150
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