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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 66 · 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 balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  2. 2.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Kabir (320 N) sits 3 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 560 N at 30 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A lever bar balances. The load is 400 N at 30 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?
  8. 8.⚖️ A seesaw balances. Kabir (330 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 1 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) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
  11. 11.⚖️ A seesaw balances. Zoya (200 N) sits 3 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 240 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A lever bar balances. The load is 60 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?
  14. 14.⚖️ A seesaw balances. Zoya (150 N) sits ? m from the pivot on one side; Kabir (150 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (560 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 ? N at 30 cm from the fulcrum. The effort is 150 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Kabir (640 N) sits 2 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?
  18. 18.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  19. 19.⚖️ A seesaw balances. Asha (300 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?
  20. 20.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Kabir (100 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?
  22. 22.⚖️ A seesaw balances. Ravi (340 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 180 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Arjun (800 N) sits 2 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Zoya (450 N) sits 1 m from the pivot on one side; Arjun (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 900 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (160 N) sits ? m from the pivot on one side; Asha (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 800 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 180 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 450 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?
  36. 36.⚖️ A seesaw balances. Ravi (440 N) sits 2 m from the pivot on one side; Arjun (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is 90 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is 630 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. turning effects match
  2. 480
  3. 360
  4. 480
  5. 210
  6. 210
  7. 40
  8. 3
  9. 120
  10. closer to the pivot
  11. 2
  12. 30
  13. 30
  14. 1
  15. 420
  16. 300
  17. 320
  18. distance from fulcrum
  19. 300
  20. 520
  21. 100
  22. 340
  23. 20
  24. 10
  25. 180
  26. 280
  27. 4
  28. 800
  29. 3
  30. 200
  31. 90
  32. 4
  33. 100
  34. 30
  35. 50
  36. 4
  37. 510
  38. 90
  39. 240
  40. 70

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