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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 91 · 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 (400 N) sits ? m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever bar balances. The load is 60 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?
  3. 3.⚖️ A seesaw balances. Kabir (200 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  6. 6.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Asha (320 N) sits 3 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 30 cm from the fulcrum. The effort is 210 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Ravi (220 N) sits 2 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
  11. 11.⚖️ A seesaw balances. Meena (400 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Ravi (320 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?
  13. 13.⚖️ A seesaw balances. Meena (510 N) sits 3 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?
  14. 14.⚖️ A lever bar balances. The load is 500 N at 10 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
  16. 16.⚖️ A lever bar balances. The load is 80 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?
  17. 17.⚖️ A seesaw balances. Arjun (120 N) sits ? m from the pivot on one side; Kabir (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 630 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 seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (720 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?
  21. 21.⚖️ A seesaw balances. Ravi (480 N) sits 3 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 360 N at 10 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 140 N at 10 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?
  25. 25.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 70 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 350 N at 10 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?
  27. 27.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Kabir (260 N) sits ? m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Ravi (340 N) sits 1 m from the pivot on one side; Arjun (? 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 30 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?
  31. 31.⚖️ A lever bar balances. The load is 400 N at 20 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Asha (160 N) sits 2 m from the pivot on one side; Ravi (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 300 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 500 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is 100 N at 50 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?
  39. 39.⚖️ A seesaw balances. Asha (180 N) sits ? m from the pivot on one side; Kabir (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is 560 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 2
  2. 120
  3. 600
  4. 10
  5. distance from fulcrum
  6. 2
  7. 280
  8. 220
  9. 420
  10. closer to the pivot
  11. 4
  12. 2
  13. 510
  14. 50
  15. turning effects match
  16. 40
  17. 4
  18. 450
  19. 180
  20. 180
  21. 480
  22. 40
  23. 100
  24. 20
  25. 10
  26. 70
  27. 30
  28. 2
  29. 170
  30. 50
  31. 50
  32. 1
  33. 160
  34. 30
  35. 160
  36. 70
  37. 50
  38. 50
  39. 1
  40. 80

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