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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 47 · 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. Asha (? N) sits 4 m from the pivot on one side; Zoya (640 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 50 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?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  4. 4.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Meena (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Kabir (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Asha (280 N) sits ? m from the pivot on one side; Meena (560 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (480 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 240 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?
  10. 10.⚖️ A seesaw balances. Asha (420 N) sits ? m from the pivot on one side; Kabir (420 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 300 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?
  12. 12.⚖️ A lever bar balances. The load is 270 N at 40 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?
  13. 13.⚖️ A lever bar balances. The load is 270 N at 40 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?
  14. 14.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  15. 15.⚖️ A seesaw balances. Arjun (450 N) sits 3 m from the pivot on one side; Meena (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 210 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  19. 19.⚖️ A lever bar balances. The load is 210 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 60 N at 20 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 30 cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Arjun (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?
  25. 25.⚖️ A lever bar balances. The load is 210 N at 30 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?
  26. 26.⚖️ A seesaw balances. Meena (110 N) sits ? m from the pivot on one side; Arjun (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Meena (360 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?
  28. 28.⚖️ A lever bar balances. The load is 180 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?
  29. 29.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Meena (640 N) sits 2 m from the pivot on one side; Kabir (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Meena (110 N) sits 3 m from the pivot on one side; Arjun (330 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 500 N at 40 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?
  35. 35.⚖️ A lever bar balances. The load is 600 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 180 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Arjun (380 N) sits 2 m from the pivot on one side; Meena (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (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?
  39. 39.⚖️ A lever bar balances. The load is 120 N at 10 cm from the fulcrum. The effort is ? 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 40 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 640
  2. 50
  3. closer to the pivot
  4. 2
  5. 2
  6. 260
  7. 4
  8. 120
  9. 40
  10. 3
  11. 20
  12. 360
  13. 90
  14. distance from fulcrum
  15. 3
  16. 30
  17. 260
  18. turning effects match
  19. 30
  20. 50
  21. 180
  22. 20
  23. 630
  24. 180
  25. 70
  26. 2
  27. 360
  28. 50
  29. 450
  30. 4
  31. 90
  32. 20
  33. 1
  34. 100
  35. 100
  36. 20
  37. 2
  38. 4
  39. 30
  40. 40

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