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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 853 · 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.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  2. 2.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Zoya (360 N) sits 2 m from the pivot on one side; Meena (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 350 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Kabir (380 N) sits 3 m from the pivot on one side; Meena (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 280 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Asha (150 N) sits ? m from the pivot on one side; Kabir (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Zoya (330 N) sits ? m from the pivot on one side; Arjun (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  11. 11.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Asha (540 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 20 N at 20 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?
  14. 14.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Arjun (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (110 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 90 N at 40 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?
  17. 17.⚖️ A lever bar balances. The load is 600 N at 30 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A seesaw balances. Meena (300 N) sits 2 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is 70 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?
  23. 23.⚖️ A lever bar balances. The load is 300 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?
  24. 24.⚖️ A seesaw balances. Zoya (300 N) sits 1 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
  26. 26.⚖️ A seesaw balances. Zoya (570 N) sits 1 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Kabir (150 N) sits 3 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?
  28. 28.⚖️ A seesaw balances. Zoya (390 N) sits 1 m from the pivot on one side; Asha (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Asha (380 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Zoya (450 N) sits 3 m from the pivot on one side; Ravi (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (510 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 200 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ 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?
  39. 39.⚖️ A seesaw balances. Asha (180 N) sits ? m from the pivot on one side; Zoya (540 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Asha (400 N) sits 2 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. closer to the pivot
  2. 4
  3. 3
  4. 50
  5. 250
  6. 2
  7. 40
  8. 2
  9. 3
  10. turning effects match
  11. 50
  12. 3
  13. 20
  14. 4
  15. 330
  16. 40
  17. 180
  18. 280
  19. 200
  20. 320
  21. 40
  22. 50
  23. 400
  24. 100
  25. distance from fulcrum
  26. 190
  27. 450
  28. 3
  29. 40
  30. 50
  31. 200
  32. 400
  33. 280
  34. 190
  35. 3
  36. 340
  37. 40
  38. 100
  39. 3
  40. 4

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