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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 660 · 40 questions
TalentJR

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. 1.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
  2. 2.🏋️ 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)
  3. 3.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
  4. 4.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
  5. 5.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
  6. 6.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
  7. 7.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
  8. 8.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
  9. 9.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
  10. 10.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
  11. 11.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
  12. 12.🏋️ Pushing a crate 6 m took 900 J of work. What force was used, in newtons?
  13. 13.🏋️ 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)
  14. 14.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
  15. 15.🏋️ A force of 100 N did 100 J of work. How many metres did the object move?
  16. 16.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  17. 17.🏋️ A force of 440 N did 1760 J of work. How many metres did the object move?
  18. 18.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
  19. 19.🏋️ A force of 280 N pushes a cart 1 m along the floor. How much work is done, in joules?
  20. 20.🏋️ Pushing a crate 7 m took 980 J of work. What force was used, in newtons?
  21. 21.🏋️ Pushing a crate 10 m took 600 J of work. What force was used, in newtons?
  22. 22.🏋️ 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?
  23. 23.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
  24. 24.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
  25. 25.🏋️ A force of 190 N did 570 J of work. How many metres did the object move?
  26. 26.🏋️ A force of 220 N did 1760 J of work. How many metres did the object move?
  27. 27.🏋️ An 18 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. 28.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
  29. 29.🏋️ A force of 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
  30. 30.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
  31. 31.🏋️ 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?
  32. 32.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
  33. 33.🏋️ A force of 460 N pushes a cart 8 m along the floor. How much work is done, in joules?
  34. 34.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
  35. 35.🏋️ A force of 170 N pushes a cart 2 m along the floor. How much work is done, in joules?
  36. 36.🏋️ A force of 410 N pushes a cart 5 m along the floor. How much work is done, in joules?
  37. 37.🏋️ Pushing a crate 7 m took 1890 J of work. What force was used, in newtons?
  38. 38.🏋️ A force of 170 N pushes a cart 8 m along the floor. How much work is done, in joules?
  39. 39.🏋️ Pushing a crate 3 m took 450 J of work. What force was used, in newtons?
  40. 40.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?

Answer key

  1. load ÷ effort
  2. 500
  3. 500
  4. 350
  5. 3
  6. through a distance
  7. 4
  8. 470
  9. 840
  10. 180
  11. 1000
  12. 150
  13. 450
  14. 2610
  15. 1
  16. 540
  17. 4
  18. less effort
  19. 280
  20. 140
  21. 60
  22. 150
  23. joule (J)
  24. 3
  25. 3
  26. 8
  27. 360
  28. 30
  29. 700
  30. 100
  31. 140
  32. 200
  33. 3680
  34. 2
  35. 340
  36. 2050
  37. 270
  38. 1360
  39. 150
  40. 4

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