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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 918 · 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 400 N at 10 cm from the fulcrum. The effort is 50 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 60 N at ? cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Ravi (300 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 420 N at 50 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 seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Kabir (110 N) sits 2 m from the pivot on one side; Zoya (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) farther from the pivot (d) anywhere
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Arjun (300 N) sits 2 m from the pivot on one side; Zoya (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A lever bar balances. The load is 630 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?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 1000 N at 10 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 360 N at 40 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?
  18. 18.⚖️ A seesaw balances. Kabir (570 N) sits 4 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Meena (120 N) sits 3 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) mass of fulcrum (d) time taken
  22. 22.⚖️ A lever bar balances. The load is 70 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?
  23. 23.⚖️ A seesaw balances. Asha (160 N) sits 2 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 700 N at 40 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?
  25. 25.⚖️ A seesaw balances. Ravi (140 N) sits 2 m from the pivot on one side; Meena (? N) sits 1 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 ? cm from the fulcrum. The effort is 70 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 160 N at 20 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?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 200 N at 50 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 150 N at 40 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?
  32. 32.⚖️ A seesaw balances. Meena (520 N) sits 2 m from the pivot on one side; Zoya (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 80 N at 50 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?
  38. 38.⚖️ A seesaw balances. Asha (800 N) sits 3 m from the pivot on one side; Meena (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 10 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 80
  2. 10
  3. 300
  4. 300
  5. 110
  6. 1
  7. closer to the pivot
  8. 150
  9. 2
  10. 420
  11. 60
  12. 150
  13. 720
  14. 270
  15. 420
  16. 100
  17. 240
  18. 760
  19. 520
  20. 360
  21. distance from fulcrum
  22. 70
  23. 320
  24. 280
  25. 280
  26. 10
  27. 80
  28. 260
  29. 100
  30. 400
  31. 200
  32. 4
  33. 150
  34. 50
  35. 50
  36. 210
  37. 100
  38. 4
  39. 10
  40. 30

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