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.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 4.🏋️ Pushing a crate 1 m took 400 J of work. What force was used, in newtons?
- 5.🏋️ A force of 180 N did 360 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 10.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 12.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 13.🏋️ A 3 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 smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 18.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 19.🏋️ Pushing a crate 4 m took 440 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 21.🏋️ 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?
- 22.🏋️ Pushing a crate 10 m took 200 J of work. What force was used, in newtons?
- 23.🏋️ A force of 230 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 330 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 26.🏋️ A force of 150 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 28.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 30.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 31.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 32.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 34.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 35.🏋️ A force of 360 N did 3240 J of work. How many metres did the object move?
- 36.🏋️ 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?
- 37.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 2 m took 880 J of work. What force was used, in newtons?
- 39.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 110
- 2
- through a distance
- 400
- 2
- 150
- 6
- 560
- load ÷ effort
- 100
- joule (J)
- 3
- 150
- 950
- 1680
- 3
- 6
- 2
- 110
- 3
- 70
- 20
- 920
- 2310
- 10
- 150
- 3
- 320
- 5
- less effort
- 5
- 2
- 140
- 230
- 9
- 140
- 290
- 440
- 510
- 1000
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