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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 940 · 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 900 N at ? cm from the fulcrum. The effort is 450 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Asha (400 N) sits 1 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?
  3. 3.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Kabir (480 N) sits 4 m from the pivot on one side; Meena (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever bar balances. The load is 480 N at 10 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Ravi (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is ? N at 20 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?
  8. 8.⚖️ A seesaw balances. Kabir (240 N) sits 3 m from the pivot on one side; Asha (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 10 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?
  10. 10.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Kabir (600 N) sits 3 m from the pivot on one side; Ravi (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Arjun (360 N) sits 1 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 100 N at 10 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?
  14. 14.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  15. 15.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Kabir (720 N) sits 2 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?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (540 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 320 N at 30 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 ? N at 10 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 270 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Arjun (450 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?
  23. 23.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (720 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 160 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?
  25. 25.⚖️ A seesaw balances. Kabir (570 N) sits ? m from the pivot on one side; Meena (570 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Ravi (480 N) sits 2 m from the pivot on one side; Asha (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Meena (120 N) sits ? m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  32. 32.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  33. 33.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Asha (400 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?
  35. 35.⚖️ A seesaw balances. Asha (450 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?
  36. 36.⚖️ A seesaw balances. Meena (200 N) sits 1 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Meena (190 N) sits ? m from the pivot on one side; Arjun (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 180 N at 30 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 50
  2. 100
  3. 60
  4. 3
  5. 60
  6. 1
  7. 1000
  8. 2
  9. 630
  10. 20
  11. 3
  12. 180
  13. 50
  14. turning effects match
  15. 10
  16. 360
  17. 720
  18. 240
  19. 120
  20. 30
  21. 60
  22. 300
  23. 180
  24. 240
  25. 3
  26. 4
  27. 250
  28. 480
  29. 150
  30. 3
  31. distance from fulcrum
  32. closer to the pivot
  33. 50
  34. 300
  35. 600
  36. 200
  37. 600
  38. 2
  39. 40
  40. 90

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