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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 444 · 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 120 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 ? N at 40 cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Kabir (510 N) sits 1 m from the pivot on one side; Arjun (170 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 ? N at 50 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  6. 6.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) time taken (d) mass of fulcrum
  8. 8.⚖️ A lever bar balances. The load is 350 N at 40 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is 720 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is 900 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 seesaw balances. Ravi (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?
  12. 12.⚖️ A lever bar balances. The load is 270 N at 50 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?
  13. 13.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Zoya (510 N) sits 3 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?
  15. 15.⚖️ 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?
  16. 16.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Kabir (540 N) sits 2 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Arjun (400 N) sits 1 m from the pivot on one side; Kabir (100 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 60 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?
  20. 20.⚖️ A seesaw balances. Zoya (280 N) sits 1 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Ravi (520 N) sits 3 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?
  22. 22.⚖️ A lever bar balances. The load is ? N at 10 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?
  23. 23.⚖️ A lever bar balances. The load is 600 N at 40 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 400 N at 40 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?
  26. 26.⚖️ A seesaw balances. Ravi (330 N) sits ? m from the pivot on one side; Asha (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is 100 N at 50 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ 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?
  30. 30.⚖️ A seesaw balances. Asha (540 N) sits 1 m from the pivot on one side; Arjun (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 4 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 30 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  34. 34.⚖️ A seesaw balances. Asha (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?
  35. 35.⚖️ A lever bar balances. The load is 90 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?
  36. 36.⚖️ A seesaw balances. Meena (170 N) sits 2 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?
  37. 37.⚖️ A seesaw balances. Arjun (760 N) sits ? m from the pivot on one side; Ravi (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Asha (110 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?
  39. 39.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 900 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 50
  2. 120
  3. 3
  4. 200
  5. turning effects match
  6. 180
  7. distance from fulcrum
  8. 280
  9. 80
  10. 90
  11. 4
  12. 150
  13. 280
  14. 510
  15. 40
  16. 260
  17. 3
  18. 4
  19. 30
  20. 140
  21. 390
  22. 500
  23. 240
  24. 180
  25. 160
  26. 1
  27. 490
  28. 50
  29. 80
  30. 3
  31. 640
  32. 40
  33. closer to the pivot
  34. 4
  35. 30
  36. 340
  37. 1
  38. 220
  39. 10
  40. 100

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