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 machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 2.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 4.🏋️ Pushing a crate 3 m took 1020 J of work. What force was used, in newtons?
- 5.🏋️ A force of 210 N did 1470 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 840 N when you push with 140 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 14.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
- 17.🏋️ 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?
- 18.🏋️ A force of 90 N did 540 J of work. How many metres did the object move?
- 19.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 40 N did 120 J of work. How many metres did the object move?
- 23.🏋️ 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?
- 24.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 26.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 27.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 29.🏋️ A 12 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 machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 10 m took 3600 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 4 m took 200 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ Pushing a crate 4 m took 1400 J of work. What force was used, in newtons?
- 39.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
Answer key
- 5
- 650
- load ÷ effort
- 340
- 7
- 750
- 6
- 6
- 3
- 1260
- 500
- 560
- 240
- 120
- 680
- 3
- 70
- 6
- 900
- 2450
- 2
- 3
- 190
- 90
- 200
- through a distance
- 290
- 370
- 120
- 3
- 220
- 360
- 50
- 1000
- 500
- 3
- 360
- 350
- 450
- joule (J)
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