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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 830 · 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 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  2. 2.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
  3. 3.🏋️ A force of 300 N pushes a cart 5 m along the floor. How much work is done, in joules?
  4. 4.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
  5. 5.🏋️ A force of 370 N did 3700 J of work. How many metres did the object move?
  6. 6.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
  7. 7.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
  8. 8.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
  9. 9.🏋️ 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)
  10. 10.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
  11. 11.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
  12. 12.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
  13. 13.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
  14. 14.🏋️ Pushing a crate 5 m took 1600 J of work. What force was used, in newtons?
  15. 15.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
  16. 16.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
  17. 17.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  18. 18.🏋️ 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)
  19. 19.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
  20. 20.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
  21. 21.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
  22. 22.🏋️ A force of 290 N pushes a cart 9 m along the floor. How much work is done, in joules?
  23. 23.🏋️ 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?
  24. 24.🏋️ Pushing a crate 10 m took 2600 J of work. What force was used, in newtons?
  25. 25.🏋️ Pushing a crate 7 m took 1540 J of work. What force was used, in newtons?
  26. 26.🏋️ A 2 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 longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
  28. 28.🏋️ A force of 450 N pushes a cart 5 m along the floor. How much work is done, in joules?
  29. 29.🏋️ A force of 100 N pushes a cart 5 m along the floor. How much work is done, in joules?
  30. 30.🏋️ A force of 50 N did 250 J of work. How many metres did the object move?
  31. 31.🏋️ A force of 220 N did 660 J of work. How many metres did the object move?
  32. 32.🏋️ A force of 130 N pushes a cart 6 m along the floor. How much work is done, in joules?
  33. 33.🏋️ A force of 360 N did 1800 J of work. How many metres did the object move?
  34. 34.🏋️ A force of 420 N did 1680 J of work. How many metres did the object move?
  35. 35.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
  36. 36.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
  37. 37.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
  38. 38.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
  39. 39.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
  40. 40.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?

Answer key

  1. 350
  2. 700
  3. 1500
  4. 700
  5. 10
  6. 6
  7. 4
  8. 2
  9. 350
  10. load ÷ effort
  11. through a distance
  12. 270
  13. no, work stays the same
  14. 320
  15. 5
  16. 420
  17. 250
  18. 150
  19. 470
  20. 80
  21. 8
  22. 2610
  23. 40
  24. 260
  25. 220
  26. 80
  27. less effort
  28. 2250
  29. 500
  30. 5
  31. 3
  32. 780
  33. 5
  34. 4
  35. 250
  36. 4
  37. 750
  38. 2
  39. 950
  40. 60

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