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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 394 · 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) effort ÷ load (c) load ÷ effort (d) load + effort
  2. 2.🏋️ A force of 170 N pushes a cart 4 m along the floor. How much work is done, in joules?
  3. 3.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
  4. 4.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
  5. 5.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
  6. 6.🏋️ A force of 400 N did 1600 J of work. How many metres did the object move?
  7. 7.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
  8. 8.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
  9. 9.🏋️ A force of 170 N pushes a cart 6 m along the floor. How much work is done, in joules?
  10. 10.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
  11. 11.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
  12. 12.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
  13. 13.🏋️ A force of 480 N pushes a cart 5 m along the floor. How much work is done, in joules?
  14. 14.🏋️ A force of 450 N did 4050 J of work. How many metres did the object move?
  15. 15.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
  16. 16.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
  17. 17.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
  18. 18.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  19. 19.🏋️ Pushing a crate 6 m took 2220 J of work. What force was used, in newtons?
  20. 20.🏋️ A force of 360 N did 2160 J of work. How many metres did the object move?
  21. 21.🏋️ A force of 390 N did 1560 J of work. How many metres did the object move?
  22. 22.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
  23. 23.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
  24. 24.🏋️ A machine lifts a load of 300 N when you push with 100 N. What is its mechanical advantage (MA)?
  25. 25.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
  26. 26.🏋️ A force of 140 N pushes a cart 8 m along the floor. How much work is done, in joules?
  27. 27.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
  28. 28.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
  29. 29.🏋️ Pushing a crate 6 m took 780 J of work. What force was used, in newtons?
  30. 30.🏋️ A force of 190 N did 1330 J of work. How many metres did the object move?
  31. 31.🏋️ 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)
  32. 32.🏋️ A 13 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. 33.🏋️ Pushing a crate 7 m took 560 J of work. What force was used, in newtons?
  34. 34.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
  35. 35.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  36. 36.🏋️ A force of 230 N did 1840 J of work. How many metres did the object move?
  37. 37.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
  38. 38.🏋️ A force of 480 N did 2880 J of work. How many metres did the object move?
  39. 39.🏋️ A force of 160 N did 320 J of work. How many metres did the object move?
  40. 40.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?

Answer key

  1. load ÷ effort
  2. 680
  3. joule (J)
  4. 6
  5. 400
  6. 4
  7. no, work stays the same
  8. 2
  9. 1020
  10. through a distance
  11. 2
  12. 150
  13. 2400
  14. 9
  15. less effort
  16. 3
  17. 380
  18. 100
  19. 370
  20. 6
  21. 4
  22. 900
  23. 6
  24. 3
  25. 4200
  26. 1120
  27. 960
  28. 700
  29. 130
  30. 7
  31. 50
  32. 520
  33. 80
  34. 290
  35. 40
  36. 8
  37. 750
  38. 6
  39. 2
  40. 200

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