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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 759 · 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. Arjun (200 N) sits ? m from the pivot on one side; Meena (800 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  3. 3.⚖️ A seesaw balances. Kabir (540 N) sits 1 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?
  4. 4.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Ravi (170 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 ? N at 40 cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Asha (510 N) sits 2 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?
  8. 8.⚖️ A seesaw balances. Zoya (260 N) sits 3 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?
  9. 9.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A lever bar balances. The load is 60 N at 50 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?
  13. 13.⚖️ A lever bar balances. The load is 210 N at 40 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?
  14. 14.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  16. 16.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Ravi (180 N) sits 2 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?
  19. 19.⚖️ A seesaw balances. Meena (110 N) sits 1 m from the pivot on one side; Zoya (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 150 N at 80 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 30 cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 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 600 N at ? cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 30 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?
  25. 25.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (390 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 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?
  27. 27.⚖️ A seesaw balances. Kabir (330 N) sits 4 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?
  28. 28.⚖️ A lever bar balances. The load is 120 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?
  29. 29.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  30. 30.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Asha (260 N) sits 4 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?
  32. 32.⚖️ A lever bar balances. The load is 400 N at 20 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?
  33. 33.⚖️ A seesaw balances. Asha (380 N) sits 1 m from the pivot on one side; Zoya (190 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 ? N at 10 cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Kabir (760 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (130 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 600 N at 30 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 4
  2. closer to the pivot
  3. 180
  4. 340
  5. 900
  6. 20
  7. 340
  8. 390
  9. 800
  10. 30
  11. 600
  12. 20
  13. 120
  14. 30
  15. turning effects match
  16. 360
  17. 720
  18. 360
  19. 1
  20. 50
  21. 360
  22. 720
  23. 10
  24. 80
  25. 260
  26. 70
  27. 440
  28. 240
  29. distance from fulcrum
  30. 180
  31. 520
  32. 40
  33. 2
  34. 120
  35. 190
  36. 760
  37. 40
  38. 240
  39. 130
  40. 300

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