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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 240 · 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. Meena (510 N) sits 4 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?
  2. 2.⚖️ A lever bar balances. The load is ? N at 10 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?
  3. 3.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  5. 5.⚖️ A seesaw balances. Meena (760 N) sits ? m from the pivot on one side; Zoya (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Arjun (130 N) sits 2 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Arjun (240 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?
  8. 8.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (440 N) sits 4 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Asha (200 N) sits 2 m from the pivot on one side; Kabir (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 70 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 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?
  14. 14.⚖️ A seesaw balances. Meena (180 N) sits 3 m from the pivot on one side; Kabir (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Asha (330 N) sits 2 m from the pivot on one side; Meena (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  18. 18.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 80 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A lever bar balances. The load is 540 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?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Ravi (120 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  25. 25.⚖️ A seesaw balances. Meena (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?
  26. 26.⚖️ A lever bar balances. The load is 90 N at 50 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 seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Kabir (450 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?
  30. 30.⚖️ A lever bar balances. The load is 200 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?
  31. 31.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 280 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 140 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Asha (510 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?
  36. 36.⚖️ A lever bar balances. The load is 100 N at 50 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?
  37. 37.⚖️ A seesaw balances. Zoya (400 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Asha (360 N) sits 1 m from the pivot on one side; Meena (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Meena (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 680
  2. 450
  3. 540
  4. turning effects match
  5. 2
  6. 260
  7. 240
  8. 150
  9. 440
  10. 1
  11. 490
  12. 560
  13. 90
  14. 1
  15. 70
  16. 3
  17. closer to the pivot
  18. 480
  19. 80
  20. 20
  21. 60
  22. 400
  23. 1
  24. distance from fulcrum
  25. 480
  26. 90
  27. 390
  28. 10
  29. 150
  30. 20
  31. 10
  32. 40
  33. 20
  34. 630
  35. 170
  36. 250
  37. 2
  38. 100
  39. 2
  40. 2

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