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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 504 · 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. Kabir (? N) sits 2 m from the pivot on one side; Ravi (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Asha (200 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?
  3. 3.⚖️ A lever bar balances. The load is 900 N at 20 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  6. 6.⚖️ A seesaw balances. Asha (260 N) sits ? m from the pivot on one side; Ravi (130 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  9. 9.⚖️ A seesaw balances. Meena (760 N) sits ? m from the pivot on one side; Arjun (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 360 N at 20 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Meena (130 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?
  12. 12.⚖️ A lever bar balances. The load is 30 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?
  13. 13.⚖️ A seesaw balances. Meena (240 N) sits 1 m from the pivot on one side; Arjun (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Kabir (480 N) sits 3 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?
  16. 16.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Zoya (570 N) sits 1 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?
  18. 18.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Ravi (390 N) sits 3 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?
  20. 20.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Asha (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 160 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 20 N at 20 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?
  25. 25.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Ravi (330 N) sits 1 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?
  27. 27.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A lever bar balances. The load is 60 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?
  29. 29.⚖️ A seesaw balances. Kabir (190 N) sits ? m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 140 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?
  31. 31.⚖️ A lever bar balances. The load is 140 N at 40 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 50 N at ? cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 480 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Meena (120 N) sits 3 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?
  35. 35.⚖️ A seesaw balances. Ravi (400 N) sits 3 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?
  36. 36.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Kabir (380 N) sits 2 m from the pivot on one side; Asha (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Meena (300 N) sits 3 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?
  40. 40.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Kabir (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 330
  2. 400
  3. 90
  4. 560
  5. distance from fulcrum
  6. 1
  7. turning effects match
  8. closer to the pivot
  9. 1
  10. 60
  11. 130
  12. 30
  13. 2
  14. 10
  15. 480
  16. 20
  17. 190
  18. 720
  19. 390
  20. 30
  21. 4
  22. 80
  23. 140
  24. 20
  25. 330
  26. 110
  27. 110
  28. 100
  29. 1
  30. 210
  31. 80
  32. 20
  33. 80
  34. 360
  35. 4
  36. 640
  37. 2
  38. 50
  39. 300
  40. 2

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