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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 54 · 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 200 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?
  2. 2.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (440 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 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 420 N at ? cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  6. 6.⚖️ A lever bar balances. The load is 280 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?
  7. 7.⚖️ A seesaw balances. Asha (640 N) sits 3 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Arjun (120 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?
  9. 9.⚖️ A lever bar balances. The load is 90 N at 50 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?
  10. 10.⚖️ A seesaw balances. Meena (440 N) sits 1 m from the pivot on one side; Arjun (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Zoya (130 N) sits 4 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Meena (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Arjun (140 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is ? N at 20 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?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 60 N at 10 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?
  21. 21.⚖️ A seesaw balances. Asha (240 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 150 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?
  23. 23.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 120 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ 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?
  25. 25.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  26. 26.⚖️ A seesaw balances. Arjun (560 N) sits 4 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Arjun (? N) sits 3 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.⚖️ A seesaw balances. Arjun (100 N) sits 2 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?
  29. 29.⚖️ A seesaw balances. Ravi (450 N) sits ? m from the pivot on one side; Meena (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Ravi (130 N) sits 1 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?
  31. 31.⚖️ A lever bar balances. The load is 630 N at 20 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?
  32. 32.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Arjun (300 N) sits ? m from the pivot on one side; Meena (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Zoya (400 N) sits 2 m from the pivot on one side; Ravi (200 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 200 N at ? cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is 180 N at 30 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?
  38. 38.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 150 N at 50 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?
  40. 40.⚖️ A seesaw balances. Meena (120 N) sits 3 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?

Answer key

  1. 10
  2. 440
  3. 270
  4. 20
  5. closer to the pivot
  6. 120
  7. 4
  8. 120
  9. 90
  10. 4
  11. 520
  12. 4
  13. 180
  14. turning effects match
  15. 560
  16. 200
  17. 50
  18. 180
  19. 100
  20. 30
  21. 120
  22. 50
  23. 30
  24. 80
  25. distance from fulcrum
  26. 560
  27. 200
  28. 200
  29. 1
  30. 130
  31. 180
  32. 10
  33. 1
  34. 340
  35. 4
  36. 10
  37. 60
  38. 260
  39. 250
  40. 360

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