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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 650 · 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 480 N at ? cm from the fulcrum. The effort is 300 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 400 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Zoya (480 N) sits 4 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  7. 7.⚖️ A lever bar balances. The load is 120 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?
  8. 8.⚖️ A lever bar balances. The load is 320 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Zoya (380 N) sits 1 m from the pivot on one side; Meena (190 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 80 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Meena (450 N) sits 1 m from the pivot on one side; Kabir (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 300 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Arjun (130 N) sits 2 m from the pivot on one side; Meena (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Arjun (340 N) sits 4 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Ravi (300 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 700 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?
  19. 19.⚖️ A lever bar balances. The load is 500 N at 10 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?
  20. 20.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 480 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?
  22. 22.⚖️ A lever bar balances. The load is 40 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?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (570 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Zoya (360 N) sits 4 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?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Ravi (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 200 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Kabir (150 N) sits 1 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (160 N) sits 2 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?
  34. 34.⚖️ A lever bar balances. The load is 600 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?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is 90 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?
  39. 39.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 50
  2. 100
  3. closer to the pivot
  4. 360
  5. 480
  6. turning effects match
  7. 40
  8. 40
  9. 140
  10. 2
  11. 30
  12. 3
  13. 50
  14. 1
  15. 680
  16. 320
  17. 3
  18. 70
  19. 100
  20. 120
  21. 80
  22. 20
  23. 320
  24. 360
  25. 760
  26. 40
  27. 720
  28. 480
  29. 3
  30. 50
  31. 150
  32. 60
  33. 320
  34. 100
  35. 760
  36. 140
  37. 30
  38. 30
  39. 480
  40. 10

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