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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 225 · 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. Ravi (? 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?
  2. 2.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 30 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Arjun (330 N) sits 2 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?
  5. 5.⚖️ A lever bar balances. The load is 50 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?
  6. 6.⚖️ 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?
  7. 7.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  8. 8.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is 80 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?
  10. 10.⚖️ A lever bar balances. The load is 400 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?
  11. 11.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 360 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is 240 N at 40 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 360 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Meena (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Asha (140 N) sits 1 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?
  17. 17.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  18. 18.⚖️ 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?
  19. 19.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Asha (300 N) sits 1 m from the pivot on one side; Meena (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Ravi (450 N) sits 2 m from the pivot on one side; Asha (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Meena (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 80 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?
  29. 29.⚖️ A seesaw balances. Asha (120 N) sits 2 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?
  30. 30.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Ravi (760 N) sits ? m from the pivot on one side; Meena (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (450 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 300 N at 10 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (640 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Asha (440 N) sits 4 m from the pivot on one side; Kabir (440 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 ? N at 30 cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Asha (380 N) sits 1 m from the pivot on one side; Ravi (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 150
  2. 220
  3. 30
  4. 220
  5. 10
  6. 1
  7. distance from fulcrum
  8. 640
  9. 40
  10. 40
  11. 40
  12. 120
  13. 600
  14. 40
  15. 2
  16. 140
  17. closer to the pivot
  18. 100
  19. 50
  20. 3
  21. 180
  22. 20
  23. 3
  24. 20
  25. 300
  26. 640
  27. 40
  28. 40
  29. 240
  30. 760
  31. 30
  32. 4
  33. 3
  34. 130
  35. 100
  36. 320
  37. 20
  38. 4
  39. 70
  40. 2

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