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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 550 · 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.

NameDateTime takenScore ___ / 40
  1. 1.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
  2. 2.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
  3. 3.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
  4. 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
  5. 5.🏋️ A force of 270 N pushes a cart 5 m along the floor. How much work is done, in joules?
  6. 6.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
  7. 7.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
  8. 8.🏋️ 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?
  9. 9.🏋️ A force of 90 N pushes a cart 1 m along the floor. How much work is done, in joules?
  10. 10.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
  11. 11.🏋️ A 13 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 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
  13. 13.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  14. 14.🏋️ Pushing a crate 10 m took 3200 J of work. What force was used, in newtons?
  15. 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
  16. 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
  17. 17.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
  18. 18.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
  19. 19.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
  20. 20.🏋️ Pushing a crate 6 m took 2400 J of work. What force was used, in newtons?
  21. 21.🏋️ 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?
  22. 22.🏋️ A force of 370 N did 2220 J of work. How many metres did the object move?
  23. 23.🏋️ A force of 110 N did 770 J of work. How many metres did the object move?
  24. 24.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
  25. 25.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
  26. 26.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
  27. 27.🏋️ Pushing a crate 9 m took 2790 J of work. What force was used, in newtons?
  28. 28.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
  29. 29.🏋️ A force of 430 N did 2150 J of work. How many metres did the object move?
  30. 30.🏋️ A force of 160 N did 320 J of work. How many metres did the object move?
  31. 31.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
  32. 32.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  33. 33.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
  34. 34.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
  35. 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
  36. 36.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
  37. 37.🏋️ A force of 500 N did 5000 J of work. How many metres did the object move?
  38. 38.🏋️ A force of 70 N did 280 J of work. How many metres did the object move?
  39. 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
  40. 40.🏋️ Pushing a crate 3 m took 240 J of work. What force was used, in newtons?

Answer key

  1. less effort
  2. 180
  3. no, work stays the same
  4. 600
  5. 1350
  6. 2
  7. 1000
  8. 400
  9. 90
  10. 2250
  11. 260
  12. 550
  13. 180
  14. 320
  15. load ÷ effort
  16. 1000
  17. joule (J)
  18. 4
  19. 3
  20. 400
  21. 540
  22. 6
  23. 7
  24. 240
  25. 10
  26. 100
  27. 310
  28. 3
  29. 5
  30. 2
  31. 450
  32. 90
  33. 6
  34. 50
  35. 300
  36. 3520
  37. 10
  38. 4
  39. 250
  40. 80

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