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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 416 · 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 longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
  2. 2.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
  3. 3.🏋️ A force of 440 N did 1760 J of work. How many metres did the object move?
  4. 4.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
  5. 5.🏋️ A 6 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 force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
  7. 7.🏋️ Pushing a crate 5 m took 100 J of work. What force was used, in newtons?
  8. 8.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
  9. 9.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
  10. 10.🏋️ A force of 320 N did 640 J of work. How many metres did the object move?
  11. 11.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  12. 12.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
  13. 13.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
  14. 14.🏋️ A force of 210 N pushes a cart 9 m along the floor. How much work is done, in joules?
  15. 15.🏋️ Pushing a crate 4 m took 600 J of work. What force was used, in newtons?
  16. 16.🏋️ A force of 90 N did 90 J of work. How many metres did the object move?
  17. 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
  18. 18.🏋️ A force of 470 N did 3290 J of work. How many metres did the object move?
  19. 19.🏋️ A force of 30 N did 120 J of work. How many metres did the object move?
  20. 20.🏋️ 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?
  21. 21.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
  22. 22.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
  23. 23.🏋️ Pushing a crate 4 m took 640 J of work. What force was used, in newtons?
  24. 24.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
  25. 25.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
  26. 26.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  27. 27.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
  28. 28.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
  29. 29.🏋️ A machine lifts a load of 120 N when you push with 20 N. What is its mechanical advantage (MA)?
  30. 30.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  31. 31.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
  32. 32.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
  33. 33.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  34. 34.🏋️ A force of 180 N did 360 J of work. How many metres did the object move?
  35. 35.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
  36. 36.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
  37. 37.🏋️ 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)
  38. 38.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
  39. 39.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
  40. 40.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)

Answer key

  1. less effort
  2. load ÷ effort
  3. 4
  4. no, work stays the same
  5. 60
  6. 2640
  7. 20
  8. 650
  9. 2
  10. 2
  11. 80
  12. 600
  13. 360
  14. 1890
  15. 150
  16. 1
  17. 1000
  18. 7
  19. 4
  20. 400
  21. through a distance
  22. 620
  23. 160
  24. 3
  25. 300
  26. 720
  27. 700
  28. 60
  29. 6
  30. 400
  31. 490
  32. 10
  33. 800
  34. 2
  35. 150
  36. 450
  37. 450
  38. 2
  39. 200
  40. 150

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