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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 255 · 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.

NameDateTime takenScore ___ / 40
  1. 1.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  2. 2.🏋️ A force of 70 N did 70 J of work. How many metres did the object move?
  3. 3.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
  4. 4.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
  5. 5.🏋️ A force of 410 N pushes a cart 4 m along the floor. How much work is done, in joules?
  6. 6.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  7. 7.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
  8. 8.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
  9. 9.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  10. 10.🏋️ A force of 420 N pushes a cart 1 m along the floor. How much work is done, in joules?
  11. 11.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
  12. 12.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
  13. 13.🏋️ A force of 490 N did 3920 J of work. How many metres did the object move?
  14. 14.🏋️ An 8 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. 15.🏋️ 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?
  16. 16.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
  17. 17.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
  18. 18.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
  19. 19.🏋️ 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?
  20. 20.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
  21. 21.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
  22. 22.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
  23. 23.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
  24. 24.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
  25. 25.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
  26. 26.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
  27. 27.🏋️ Pushing a crate 4 m took 1040 J of work. What force was used, in newtons?
  28. 28.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
  29. 29.🏋️ A force of 470 N did 4230 J of work. How many metres did the object move?
  30. 30.🏋️ 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?
  31. 31.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
  32. 32.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
  33. 33.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
  34. 34.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
  35. 35.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
  36. 36.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
  37. 37.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
  38. 38.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  39. 39.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
  40. 40.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?

Answer key

  1. 440
  2. 1
  3. less effort
  4. load ÷ effort
  5. 1640
  6. 330
  7. 8
  8. 3
  9. 380
  10. 420
  11. 3
  12. 4
  13. 8
  14. 320
  15. 300
  16. 550
  17. 2
  18. 400
  19. 570
  20. 30
  21. no, work stays the same
  22. 3
  23. 320
  24. 220
  25. 40
  26. 100
  27. 260
  28. 750
  29. 9
  30. 680
  31. 90
  32. 500
  33. 600
  34. 3
  35. 650
  36. 600
  37. 250
  38. 130
  39. 470
  40. 8

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