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 force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 3.🏋️ 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?
- 4.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 7 m took 2800 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 9.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 10.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 400 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ 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?
- 13.🏋️ A 17 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 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 16.🏋️ A force of 330 N did 2970 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 18.🏋️ A force of 280 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 100 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ 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?
- 22.🏋️ A force of 270 N did 1350 J of work. How many metres did the object move?
- 23.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 26.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 5 m took 1750 J of work. What force was used, in newtons?
- 29.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 31.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 32.🏋️ A machine lifts a load of 420 N when you push with 140 N. What is its mechanical advantage (MA)?
- 33.🏋️ A force of 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 440 N did 1320 J of work. How many metres did the object move?
- 36.🏋️ 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?
- 37.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 3 m took 1350 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
Answer key
- 1260
- 480
- 150
- 570
- 3
- 400
- 800
- load ÷ effort
- 2
- 450
- 4000
- 70
- 850
- 1000
- joule (J)
- 9
- 350
- 2520
- 800
- 650
- 90
- 5
- 10
- 190
- 5
- 3
- 300
- 350
- 4
- 3
- through a distance
- 3
- 2450
- 3
- 3
- 150
- 100
- 450
- 4
- 3
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