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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 778 · 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 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
  2. 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
  3. 3.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
  4. 4.🏋️ A force of 30 N pushes a cart 6 m along the floor. How much work is done, in joules?
  5. 5.🏋️ Pushing a crate 9 m took 360 J of work. What force was used, in newtons?
  6. 6.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
  7. 7.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
  8. 8.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
  9. 9.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
  10. 10.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  11. 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
  12. 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
  13. 13.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  14. 14.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
  15. 15.🏋️ Pushing a crate 3 m took 720 J of work. What force was used, in newtons?
  16. 16.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
  17. 17.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
  18. 18.🏋️ Pushing a crate 9 m took 2250 J of work. What force was used, in newtons?
  19. 19.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
  20. 20.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
  21. 21.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
  22. 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
  23. 23.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
  24. 24.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
  25. 25.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
  26. 26.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
  27. 27.🏋️ Pushing a crate 5 m took 2350 J of work. What force was used, in newtons?
  28. 28.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
  29. 29.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
  30. 30.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
  31. 31.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
  32. 32.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
  33. 33.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
  34. 34.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
  35. 35.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
  36. 36.🏋️ A force of 40 N pushes a cart 5 m along the floor. How much work is done, in joules?
  37. 37.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
  38. 38.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
  39. 39.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
  40. 40.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?

Answer key

  1. 100
  2. load ÷ effort
  3. joule (J)
  4. 180
  5. 40
  6. 250
  7. 5
  8. 6
  9. 200
  10. 60
  11. 900
  12. 350
  13. 850
  14. 150
  15. 240
  16. 40
  17. through a distance
  18. 250
  19. 6
  20. 9
  21. no, work stays the same
  22. 200
  23. 2
  24. 420
  25. 60
  26. less effort
  27. 470
  28. 4
  29. 3
  30. 500
  31. 5
  32. 1
  33. 3150
  34. 310
  35. 150
  36. 200
  37. 650
  38. 3
  39. 4
  40. 2

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