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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 2.🏋️ A force of 70 N did 210 J of work. How many metres did the object move?
- 3.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 4.🏋️ A force of 280 N did 1120 J of work. How many metres did the object move?
- 5.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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?
- 8.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 200 N did 800 J of work. How many metres did the object move?
- 10.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 12.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 13.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 15.🏋️ A force of 50 N did 450 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 17.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 19.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 10 m took 4100 J of work. What force was used, in newtons?
- 21.🏋️ A force of 80 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 390 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 28.🏋️ A force of 10 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 1 m took 20 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 38.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 40.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- joule (J)
- 3
- no, work stays the same
- 4
- 3
- 900
- 350
- 800
- 4
- 3240
- 2
- through a distance
- 340
- 370
- 9
- 490
- 90
- load ÷ effort
- 90
- 410
- 400
- 3
- 50
- 900
- 3120
- 3
- 3
- 40
- 4
- 700
- 3
- 2160
- 390
- 2
- 4
- 20
- 6
- 2
- 270
- 480
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