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 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 2.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 300 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 8.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A 5 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 force of 260 N did 2080 J of work. How many metres did the object move?
- 13.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ A 7 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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 17.🏋️ Pushing a crate 10 m took 3500 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 19.🏋️ 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?
- 20.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 21.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 26.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 6 m took 2820 J of work. What force was used, in newtons?
- 28.🏋️ A force of 270 N did 2160 J of work. How many metres did the object move?
- 29.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 60 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 330 N did 1650 J of work. How many metres did the object move?
- 32.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 4 m took 800 J of work. What force was used, in newtons?
- 36.🏋️ A force of 40 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 160 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ 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?
- 40.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
Answer key
- 6
- 50
- 2100
- 4400
- 950
- through a distance
- load ÷ effort
- 1
- 950
- 640
- 250
- 8
- 280
- 1160
- 280
- joule (J)
- 350
- 2
- 300
- no, work stays the same
- 5
- 400
- 200
- 3
- 2
- 490
- 470
- 8
- 1760
- 600
- 5
- 720
- 6
- 40
- 200
- 240
- 1280
- 3
- 680
- 6
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