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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 811 · 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 seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 400 N at 30 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?
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  6. 6.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 300 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Ravi (480 N) sits 3 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?
  8. 8.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever bar balances. The load is 240 N at 30 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?
  12. 12.⚖️ A lever bar balances. The load is 80 N at 30 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?
  13. 13.⚖️ A lever bar balances. The load is 240 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?
  14. 14.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  16. 16.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Asha (680 N) sits 2 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 80 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Zoya (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Asha (300 N) sits 4 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is 150 N at 10 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?
  25. 25.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 560 N at 30 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?
  27. 27.⚖️ A seesaw balances. Meena (? N) sits 4 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?
  28. 28.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  29. 29.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Zoya (260 N) sits 4 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 270 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?
  36. 36.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (320 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (520 N) sits 4 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?
  39. 39.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 220
  2. 120
  3. 100
  4. 100
  5. turning effects match
  6. 30
  7. 360
  8. 480
  9. 160
  10. 520
  11. 240
  12. 120
  13. 80
  14. 90
  15. closer to the pivot
  16. 20
  17. 340
  18. 80
  19. 110
  20. 510
  21. 1
  22. 400
  23. 30
  24. 30
  25. 480
  26. 70
  27. 150
  28. distance from fulcrum
  29. 80
  30. 130
  31. 800
  32. 520
  33. 540
  34. 720
  35. 10
  36. 110
  37. 640
  38. 520
  39. 270
  40. 190

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