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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 902 · 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 bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 300 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 20 N at 30 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?
  3. 3.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  5. 5.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  6. 6.⚖️ A seesaw balances. Meena (800 N) sits 1 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?
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
  11. 11.⚖️ A lever bar balances. The load is 400 N at 20 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?
  12. 12.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 360 N at 20 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?
  14. 14.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 360 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Ravi (600 N) sits 1 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?
  17. 17.⚖️ A seesaw balances. Kabir (280 N) sits ? m from the pivot on one side; Asha (420 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Arjun (360 N) sits 4 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is 140 N at 20 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Arjun (560 N) sits ? m from the pivot on one side; Kabir (140 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Asha (220 N) sits 1 m from the pivot on one side; Kabir (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 210 N at 50 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 lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Zoya (110 N) sits ? m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Arjun (260 N) sits 3 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?
  28. 28.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Arjun (300 N) sits 1 m from the pivot on one side; Zoya (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Asha (300 N) sits 4 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ 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?
  34. 34.⚖️ A seesaw balances. Ravi (180 N) sits ? m from the pivot on one side; Kabir (720 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Arjun (130 N) sits ? m from the pivot on one side; Asha (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Kabir (480 N) sits 4 m from the pivot on one side; Meena (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Zoya (220 N) sits 2 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?
  40. 40.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 320 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 30
  2. 30
  3. 30
  4. closer to the pivot
  5. distance from fulcrum
  6. 200
  7. 360
  8. 140
  9. 170
  10. turning effects match
  11. 200
  12. 190
  13. 120
  14. 480
  15. 40
  16. 150
  17. 3
  18. 3
  19. 400
  20. 70
  21. 1
  22. 2
  23. 350
  24. 40
  25. 400
  26. 1
  27. 390
  28. 320
  29. 2
  30. 200
  31. 180
  32. 3
  33. 30
  34. 4
  35. 2
  36. 20
  37. 4
  38. 480
  39. 220
  40. 40

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