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Engineering Worksheet: Mechanical Advantage and Work

Engineering lesson 15: Mechanical advantage and work · Set 44 · 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 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
  2. 2.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
  3. 3.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
  4. 4.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
  5. 5.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
  6. 6.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
  7. 7.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
  8. 8.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
  9. 9.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
  10. 10.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
  11. 11.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
  12. 12.🏋️ A force of 280 N did 2520 J of work. How many metres did the object move?
  13. 13.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
  14. 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
  15. 15.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
  16. 16.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
  17. 17.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
  18. 18.🏋️ A 15 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 machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
  20. 20.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
  21. 21.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
  22. 22.🏋️ A force of 80 N did 160 J of work. How many metres did the object move?
  23. 23.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
  24. 24.🏋️ 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)
  25. 25.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
  26. 26.🏋️ A force of 40 N did 200 J of work. How many metres did the object move?
  27. 27.🏋️ 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)
  28. 28.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
  29. 29.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
  30. 30.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
  31. 31.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
  32. 32.🏋️ A force of 200 N pushes a cart 9 m along the floor. How much work is done, in joules?
  33. 33.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
  34. 34.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
  35. 35.🏋️ 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?
  36. 36.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
  37. 37.🏋️ 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?
  38. 38.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
  39. 39.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
  40. 40.🏋️ A force of 390 N did 1950 J of work. How many metres did the object move?

Answer key

  1. 850
  2. no, work stays the same
  3. 4
  4. 250
  5. load ÷ effort
  6. 290
  7. 2
  8. 3
  9. through a distance
  10. 3
  11. 2
  12. 9
  13. less effort
  14. 350
  15. 3
  16. 6
  17. 250
  18. 750
  19. 6
  20. 5
  21. joule (J)
  22. 2
  23. 8
  24. 600
  25. 3290
  26. 5
  27. 250
  28. 780
  29. 170
  30. 3
  31. 4
  32. 1800
  33. 3080
  34. 750
  35. 180
  36. 330
  37. 100
  38. 170
  39. 550
  40. 5

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