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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 462 · 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 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
  2. 2.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
  3. 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
  4. 4.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
  5. 5.🏋️ A force of 260 N did 1300 J of work. How many metres did the object move?
  6. 6.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
  7. 7.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  8. 8.🏋️ A force of 160 N did 960 J of work. How many metres did the object move?
  9. 9.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
  10. 10.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
  11. 11.🏋️ Pushing a crate 1 m took 30 J of work. What force was used, in newtons?
  12. 12.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  13. 13.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
  14. 14.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  15. 15.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
  16. 16.🏋️ 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)
  17. 17.🏋️ A force of 350 N pushes a cart 10 m along the floor. How much work is done, in joules?
  18. 18.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  19. 19.🏋️ A force of 460 N did 920 J of work. How many metres did the object move?
  20. 20.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
  21. 21.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
  22. 22.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
  23. 23.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
  24. 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
  25. 25.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
  26. 26.🏋️ A 6 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 force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
  28. 28.🏋️ A force of 10 N pushes a cart 2 m along the floor. How much work is done, in joules?
  29. 29.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
  30. 30.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
  31. 31.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
  32. 32.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  33. 33.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
  34. 34.🏋️ A force of 230 N did 1840 J of work. How many metres did the object move?
  35. 35.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
  36. 36.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
  37. 37.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  38. 38.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
  39. 39.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  40. 40.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?

Answer key

  1. 550
  2. 2
  3. less effort
  4. 4
  5. 5
  6. 2
  7. 300
  8. 6
  9. 100
  10. 10
  11. 30
  12. 270
  13. 400
  14. 440
  15. 350
  16. 650
  17. 3500
  18. 1000
  19. 2
  20. 400
  21. 280
  22. 4
  23. 1050
  24. load ÷ effort
  25. 80
  26. 240
  27. 240
  28. 20
  29. 2
  30. 120
  31. 2
  32. 100
  33. 340
  34. 8
  35. 200
  36. 150
  37. 70
  38. 390
  39. 330
  40. 6

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