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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 943 · 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 810 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever bar balances. The load is 70 N at 40 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is 120 N at 40 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) the bar is short (d) both weights are equal
  7. 7.⚖️ A seesaw balances. Asha (130 N) sits 2 m from the pivot on one side; Arjun (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Zoya (400 N) sits ? m from the pivot on one side; Asha (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  11. 11.⚖️ A seesaw balances. Meena (140 N) sits 1 m from the pivot on one side; Kabir (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (510 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Meena (720 N) sits 4 m from the pivot on one side; Kabir (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (480 N) sits 2 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 210 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 630 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  20. 20.⚖️ A seesaw balances. Ravi (800 N) sits ? m from the pivot on one side; Meena (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is 500 N at 10 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is 120 N at 40 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 60 N at 20 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 210 N at 10 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is 20 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Meena (760 N) sits ? m from the pivot on one side; Kabir (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 700 N at 30 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Kabir (260 N) sits 2 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Kabir (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Kabir (110 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Arjun (220 N) sits ? m from the pivot on one side; Meena (330 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (360 N) sits 3 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Arjun (510 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?
  40. 40.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 90
  2. 20
  3. 180
  4. 40
  5. 20
  6. turning effects match
  7. 1
  8. 1
  9. 760
  10. closer to the pivot
  11. 1
  12. 240
  13. 510
  14. 4
  15. 60
  16. 240
  17. 30
  18. 90
  19. distance from fulcrum
  20. 1
  21. 50
  22. 240
  23. 600
  24. 20
  25. 280
  26. 130
  27. 70
  28. 20
  29. 4
  30. 300
  31. 760
  32. 260
  33. 1
  34. 270
  35. 1
  36. 400
  37. 3
  38. 3
  39. 170
  40. 50

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