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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 868 · 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) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
  2. 2.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
  3. 3.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
  4. 4.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
  5. 5.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  6. 6.🏋️ 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)
  7. 7.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
  8. 8.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
  9. 9.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  10. 10.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
  11. 11.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  12. 12.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
  13. 13.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
  14. 14.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
  15. 15.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
  16. 16.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
  17. 17.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
  18. 18.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
  19. 19.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
  20. 20.🏋️ A force of 70 N pushes a cart 5 m along the floor. How much work is done, in joules?
  21. 21.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
  22. 22.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
  23. 23.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
  24. 24.🏋️ A force of 180 N pushes a cart 2 m along the floor. How much work is done, in joules?
  25. 25.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
  26. 26.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
  27. 27.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
  28. 28.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  29. 29.🏋️ Pushing a crate 8 m took 3040 J of work. What force was used, in newtons?
  30. 30.🏋️ Pushing a crate 8 m took 2320 J of work. What force was used, in newtons?
  31. 31.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
  32. 32.🏋️ Pushing a crate 5 m took 700 J of work. What force was used, in newtons?
  33. 33.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
  34. 34.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
  35. 35.🏋️ Pushing a crate 8 m took 4000 J of work. What force was used, in newtons?
  36. 36.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  37. 37.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
  38. 38.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
  39. 39.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
  40. 40.🏋️ A force of 380 N did 1140 J of work. How many metres did the object move?

Answer key

  1. load ÷ effort
  2. 50
  3. through a distance
  4. no, work stays the same
  5. 180
  6. 600
  7. 2
  8. 1250
  9. 540
  10. 390
  11. 40
  12. 8
  13. 210
  14. 430
  15. 2730
  16. less effort
  17. 2
  18. 2
  19. 3
  20. 350
  21. 100
  22. 40
  23. 60
  24. 360
  25. 6
  26. 1960
  27. 240
  28. 400
  29. 380
  30. 290
  31. 50
  32. 140
  33. 1040
  34. 120
  35. 500
  36. 140
  37. 450
  38. 450
  39. 850
  40. 3

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