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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 819 · 40 questions
TalentJR

Engineer's tip (Both sides turn the same): Turning effect = force × distance from the fulcrum. Balance: load × load distance = effort × effort distance. Missing value = the known side’s product ÷ the other number on its own side.

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  1. 1.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the bar is short (d) the fulcrum moves
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  4. 4.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 50 N at 30 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 20 N at 20 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  9. 9.⚖️ A seesaw balances. Zoya (420 N) sits ? m from the pivot on one side; Kabir (420 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Asha (560 N) sits 3 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Asha (680 N) sits ? m from the pivot on one side; Zoya (510 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Asha (170 N) sits 1 m from the pivot on one side; Ravi (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 240 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 320 N at 20 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Zoya (140 N) sits 4 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Kabir (140 N) sits 1 m from the pivot on one side; Asha (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Meena (540 N) sits 4 m from the pivot on one side; Arjun (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 240 N at 20 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Arjun (100 N) sits 1 m from the pivot on one side; Kabir (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (600 N) sits ? m from the pivot on one side; Ravi (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Zoya (680 N) sits 3 m from the pivot on one side; Meena (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 90 N at 40 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Asha (450 N) sits 1 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Asha (330 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Asha (160 N) sits 1 m from the pivot on one side; Kabir (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Meena (640 N) sits 1 m from the pivot on one side; Asha (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 150 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Meena (720 N) sits 4 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Kabir (330 N) sits 4 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 150 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Meena (190 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 280
  2. turning effects match
  3. closer to the pivot
  4. 20
  5. 30
  6. 30
  7. 20
  8. distance from fulcrum
  9. 3
  10. 420
  11. 3
  12. 1
  13. 60
  14. 160
  15. 30
  16. 360
  17. 560
  18. 1
  19. 3
  20. 40
  21. 1
  22. 70
  23. 2
  24. 4
  25. 90
  26. 150
  27. 150
  28. 330
  29. 1
  30. 4
  31. 400
  32. 50
  33. 680
  34. 490
  35. 160
  36. 720
  37. 440
  38. 200
  39. 30
  40. 1

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