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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 149 · 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 ? N at 20 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (760 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 250 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?
  7. 7.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  9. 9.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  10. 10.⚖️ A lever bar balances. The load is 480 N at 50 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Arjun (540 N) sits ? m from the pivot on one side; Zoya (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Meena (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (180 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 250 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (560 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 120 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?
  18. 18.⚖️ A seesaw balances. Asha (540 N) sits 3 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?
  19. 19.⚖️ A seesaw balances. Meena (390 N) sits 3 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (130 N) sits ? m from the pivot on one side; Meena (390 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 30 N at 30 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ 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?
  26. 26.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  28. 28.⚖️ A seesaw balances. Arjun (220 N) sits ? m from the pivot on one side; Meena (220 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Asha (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 150 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Asha (120 N) sits 4 m from the pivot on one side; Kabir (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Arjun (600 N) sits 4 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Arjun (760 N) sits 2 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?
  39. 39.⚖️ A seesaw balances. Asha (300 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 160 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?

Answer key

  1. 350
  2. 380
  3. 380
  4. 80
  5. 40
  6. 200
  7. 800
  8. closer to the pivot
  9. turning effects match
  10. 300
  11. 3
  12. 4
  13. 540
  14. 50
  15. 200
  16. 420
  17. 30
  18. 540
  19. 390
  20. 3
  21. 30
  22. 180
  23. 160
  24. 50
  25. 30
  26. 100
  27. distance from fulcrum
  28. 2
  29. 450
  30. 110
  31. 180
  32. 30
  33. 250
  34. 1
  35. 50
  36. 20
  37. 600
  38. 380
  39. 150
  40. 240

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