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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 42 · 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 smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
  2. 2.🏋️ Pushing a crate 5 m took 2500 J of work. What force was used, in newtons?
  3. 3.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
  4. 4.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
  5. 5.🏋️ Pushing a crate 2 m took 100 J of work. What force was used, in newtons?
  6. 6.🏋️ A force of 140 N did 560 J of work. How many metres did the object move?
  7. 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
  8. 8.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
  9. 9.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
  10. 10.🏋️ Pushing a crate 1 m took 150 J of work. What force was used, in newtons?
  11. 11.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
  12. 12.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
  13. 13.🏋️ A force of 460 N did 3220 J of work. How many metres did the object move?
  14. 14.🏋️ A force of 170 N pushes a cart 6 m along the floor. How much work is done, in joules?
  15. 15.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
  16. 16.🏋️ A force of 430 N did 2580 J of work. How many metres did the object move?
  17. 17.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
  18. 18.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
  19. 19.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
  20. 20.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
  21. 21.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
  22. 22.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
  23. 23.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
  24. 24.🏋️ 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)
  25. 25.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
  26. 26.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
  27. 27.🏋️ Pushing a crate 9 m took 2970 J of work. What force was used, in newtons?
  28. 28.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
  29. 29.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
  30. 30.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
  31. 31.🏋️ 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?
  32. 32.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
  33. 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
  34. 34.🏋️ A force of 410 N did 2050 J of work. How many metres did the object move?
  35. 35.🏋️ A force of 330 N pushes a cart 8 m along the floor. How much work is done, in joules?
  36. 36.🏋️ A force of 210 N did 2100 J of work. How many metres did the object move?
  37. 37.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
  38. 38.🏋️ A force of 100 N did 200 J of work. How many metres did the object move?
  39. 39.🏋️ A force of 200 N pushes a cart 4 m along the floor. How much work is done, in joules?
  40. 40.🏋️ Pushing a crate 3 m took 690 J of work. What force was used, in newtons?

Answer key

  1. 200
  2. 500
  3. 1380
  4. through a distance
  5. 50
  6. 4
  7. load ÷ effort
  8. less effort
  9. 340
  10. 150
  11. 600
  12. 850
  13. 7
  14. 1020
  15. 5
  16. 6
  17. 490
  18. no, work stays the same
  19. 4230
  20. 160
  21. 460
  22. 160
  23. joule (J)
  24. 1000
  25. 6
  26. 750
  27. 330
  28. 1350
  29. 320
  30. 2
  31. 300
  32. 3
  33. 850
  34. 5
  35. 2640
  36. 10
  37. 840
  38. 2
  39. 800
  40. 230

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