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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 753 · 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. Ravi (? N) sits 1 m from the pivot on one side; Asha (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ 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?
  3. 3.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  5. 5.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Zoya (760 N) sits 1 m from the pivot on one side; Asha (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is 400 N at 40 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?
  8. 8.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  9. 9.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Asha (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Kabir (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A lever bar balances. The load is 160 N at 50 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?
  14. 14.⚖️ A seesaw balances. Meena (680 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?
  15. 15.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Asha (110 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?
  17. 17.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ 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?
  19. 19.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Asha (190 N) sits ? m from the pivot on one side; Kabir (570 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Kabir (280 N) sits 1 m from the pivot on one side; Arjun (140 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 200 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?
  24. 24.⚖️ A lever bar balances. The load is 40 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?
  25. 25.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 400 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?
  27. 27.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 320 N at 20 cm from the fulcrum. The effort is 160 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 270 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 120 N at 40 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?
  31. 31.⚖️ A seesaw balances. Meena (560 N) sits ? m from the pivot on one side; Zoya (140 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Asha (320 N) sits ? m from the pivot on one side; Arjun (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  34. 34.⚖️ A seesaw balances. Arjun (540 N) sits 4 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?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Asha (100 N) sits 3 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 20 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (150 N) sits ? m from the pivot on one side; Kabir (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 800
  2. 30
  3. 360
  4. turning effects match
  5. 200
  6. 4
  7. 400
  8. distance from fulcrum
  9. 1
  10. 420
  11. 50
  12. 200
  13. 40
  14. 510
  15. 900
  16. 1
  17. 10
  18. 20
  19. 270
  20. 3
  21. 630
  22. 2
  23. 100
  24. 10
  25. 720
  26. 80
  27. 30
  28. 40
  29. 630
  30. 80
  31. 1
  32. 2
  33. closer to the pivot
  34. 720
  35. 300
  36. 180
  37. 630
  38. 4
  39. 150
  40. 520

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