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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 967 · 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 (400 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? 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) on the pivot (b) closer to the pivot (c) farther from the pivot (d) anywhere
  3. 3.⚖️ A seesaw balances. Asha (540 N) sits 3 m from the pivot on one side; Meena (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Ravi (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Asha (220 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is 900 N at 10 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?
  7. 7.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  8. 8.⚖️ A seesaw balances. Kabir (220 N) sits 3 m from the pivot on one side; Arjun (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Arjun (380 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?
  10. 10.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Arjun (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Kabir (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 50 N at 20 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?
  14. 14.⚖️ A lever bar balances. The load is 80 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?
  15. 15.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  16. 16.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 20 N at 10 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?
  18. 18.⚖️ A seesaw balances. Ravi (260 N) sits 3 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?
  19. 19.⚖️ A seesaw balances. Asha (110 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?
  20. 20.⚖️ A seesaw balances. Kabir (600 N) sits 3 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?
  21. 21.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Ravi (280 N) sits ? m from the pivot on one side; Meena (280 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Arjun (320 N) sits ? m from the pivot on one side; Asha (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Zoya (190 N) sits ? m from the pivot on one side; Meena (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 100 N at 10 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?
  26. 26.⚖️ A lever bar balances. The load is 140 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 450 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 560 N at 50 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?
  29. 29.⚖️ A lever bar balances. The load is 700 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 360 N at 10 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?
  31. 31.⚖️ A lever bar balances. The load is 500 N at 50 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?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (760 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 40 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Kabir (150 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Meena (330 N) sits ? m from the pivot on one side; Zoya (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Ravi (640 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?
  37. 37.⚖️ A lever bar balances. The load is 900 N at 20 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?
  38. 38.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 450 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 100 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. 3
  4. 1
  5. 2
  6. 90
  7. turning effects match
  8. 2
  9. 760
  10. 2
  11. 10
  12. 4
  13. 20
  14. 120
  15. distance from fulcrum
  16. 480
  17. 10
  18. 390
  19. 220
  20. 450
  21. 360
  22. 2
  23. 2
  24. 2
  25. 50
  26. 20
  27. 50
  28. 400
  29. 70
  30. 90
  31. 500
  32. 760
  33. 30
  34. 1
  35. 1
  36. 320
  37. 180
  38. 50
  39. 50
  40. 900

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