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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 979 · 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.🏋️ 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?
  2. 2.🏋️ A force of 30 N did 150 J of work. How many metres did the object move?
  3. 3.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
  4. 4.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
  5. 5.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
  6. 6.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
  7. 7.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
  8. 8.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
  9. 9.🏋️ Pushing a crate 2 m took 900 J of work. What force was used, in newtons?
  10. 10.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  11. 11.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
  12. 12.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
  13. 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
  14. 14.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
  15. 15.🏋️ A force of 300 N pushes a cart 5 m along the floor. How much work is done, in joules?
  16. 16.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
  17. 17.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
  18. 18.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
  19. 19.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
  20. 20.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
  21. 21.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
  22. 22.🏋️ Pushing a crate 8 m took 560 J of work. What force was used, in newtons?
  23. 23.🏋️ 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)
  24. 24.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
  25. 25.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
  26. 26.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  27. 27.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  28. 28.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  29. 29.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
  30. 30.🏋️ 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?
  31. 31.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  32. 32.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
  33. 33.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
  34. 34.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
  35. 35.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
  36. 36.🏋️ A force of 380 N pushes a cart 4 m along the floor. How much work is done, in joules?
  37. 37.🏋️ A force of 370 N pushes a cart 8 m along the floor. How much work is done, in joules?
  38. 38.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
  39. 39.🏋️ A force of 360 N pushes a cart 2 m along the floor. How much work is done, in joules?
  40. 40.🏋️ A force of 50 N pushes a cart 3 m along the floor. How much work is done, in joules?

Answer key

  1. 70
  2. 5
  3. 550
  4. 280
  5. 4
  6. 6
  7. 150
  8. 2
  9. 450
  10. 450
  11. through a distance
  12. 3690
  13. 800
  14. no, work stays the same
  15. 1500
  16. load ÷ effort
  17. less effort
  18. 90
  19. 750
  20. 10
  21. 650
  22. 70
  23. 1000
  24. 370
  25. 1000
  26. 140
  27. 600
  28. 20
  29. 150
  30. 640
  31. 210
  32. 270
  33. 550
  34. 6
  35. joule (J)
  36. 1520
  37. 2960
  38. 6
  39. 720
  40. 150

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