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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 226 · 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 (390 N) sits 1 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?
  2. 2.⚖️ A lever bar balances. The load is 40 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?
  3. 3.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Ravi (110 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?
  5. 5.⚖️ A lever bar balances. The load is 100 N at 40 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?
  6. 6.⚖️ A lever bar balances. The load is 20 N at 40 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?
  7. 7.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is 40 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?
  9. 9.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
  11. 11.⚖️ A seesaw balances. Kabir (800 N) sits ? m from the pivot on one side; Ravi (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A lever bar balances. The load is ? N at 10 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?
  14. 14.⚖️ A seesaw balances. Zoya (450 N) sits 2 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is 270 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?
  17. 17.⚖️ A seesaw balances. Arjun (300 N) sits 2 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?
  18. 18.⚖️ 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?
  19. 19.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 210 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Asha (520 N) sits 1 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?
  21. 21.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Arjun (220 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 250 N at 50 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?
  24. 24.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Kabir (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (110 N) sits 4 m from the pivot on one side; Asha (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (450 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 140 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ 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?
  32. 32.⚖️ A seesaw balances. Asha (800 N) sits ? m from the pivot on one side; Ravi (600 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Asha (640 N) sits 2 m from the pivot on one side; Zoya (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 300 N at 20 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?
  35. 35.⚖️ A seesaw balances. Ravi (140 N) sits ? m from the pivot on one side; Zoya (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Ravi (150 N) sits ? m from the pivot on one side; Meena (450 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 280 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Kabir (360 N) sits 3 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
  40. 40.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 130
  2. 60
  3. 540
  4. 110
  5. 100
  6. 40
  7. 180
  8. 20
  9. distance from fulcrum
  10. closer to the pivot
  11. 1
  12. 60
  13. 540
  14. 300
  15. 40
  16. 90
  17. 300
  18. 300
  19. 30
  20. 130
  21. 2
  22. 120
  23. 250
  24. 1
  25. 1
  26. 400
  27. 240
  28. 400
  29. 300
  30. 20
  31. 80
  32. 3
  33. 4
  34. 200
  35. 1
  36. 3
  37. 40
  38. 360
  39. turning effects match
  40. 40

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