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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 809 · 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 210 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?
  2. 2.⚖️ A lever bar balances. The load is 210 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?
  3. 3.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Zoya (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Ravi (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 140 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Ravi (330 N) sits ? m from the pivot on one side; Arjun (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 400 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
  12. 12.⚖️ A lever bar balances. The load is 40 N at 10 cm from the fulcrum. The effort is 10 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 150 N at 10 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?
  14. 14.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
  15. 15.⚖️ 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?
  16. 16.⚖️ A seesaw balances. Arjun (100 N) sits 3 m from the pivot on one side; Kabir (? N) sits 1 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 30 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?
  18. 18.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  19. 19.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 1 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 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?
  21. 21.⚖️ A lever bar balances. The load is 450 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 lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Meena (160 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Ravi (240 N) sits 1 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 600 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?
  27. 27.⚖️ A seesaw balances. Zoya (400 N) sits 3 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?
  28. 28.⚖️ A seesaw balances. Asha (680 N) sits 2 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?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Ravi (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Asha (240 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?
  31. 31.⚖️ A seesaw balances. Ravi (540 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?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 240 N at 10 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Asha (600 N) sits 1 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Zoya (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?
  36. 36.⚖️ A seesaw balances. Asha (? 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?
  37. 37.⚖️ A seesaw balances. Ravi (480 N) sits ? m from the pivot on one side; Zoya (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 80 N at 40 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Kabir (180 N) sits 4 m from the pivot on one side; Asha (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Zoya (450 N) sits 4 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?

Answer key

  1. 30
  2. 70
  3. 1
  4. 240
  5. 1
  6. 20
  7. 40
  8. 1
  9. 300
  10. 40
  11. turning effects match
  12. 40
  13. 50
  14. closer to the pivot
  15. 20
  16. 300
  17. 40
  18. distance from fulcrum
  19. 120
  20. 200
  21. 50
  22. 10
  23. 1
  24. 120
  25. 100
  26. 60
  27. 300
  28. 340
  29. 280
  30. 2
  31. 360
  32. 640
  33. 40
  34. 3
  35. 2
  36. 150
  37. 3
  38. 40
  39. 1
  40. 600

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