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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 80 · 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.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
  2. 2.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  3. 3.⚖️ A seesaw balances. Ravi (110 N) sits 3 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?
  4. 4.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  5. 5.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 30 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Kabir (420 N) sits 2 m from the pivot on one side; Arjun (280 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 360 N at 10 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?
  8. 8.⚖️ A lever bar balances. The load is 500 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?
  9. 9.⚖️ A lever bar balances. The load is 400 N at 50 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?
  10. 10.⚖️ A seesaw balances. Meena (100 N) sits 1 m from the pivot on one side; Ravi (100 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 ? N at 50 cm from the fulcrum. The effort is 300 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Meena (360 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?
  13. 13.⚖️ A seesaw balances. Ravi (120 N) sits ? m from the pivot on one side; Meena (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Zoya (450 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (360 N) sits 4 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A lever bar balances. The load is 60 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?
  20. 20.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (440 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 120 N at 50 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?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Asha (510 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is 120 N at 40 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 seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (110 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ 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?
  28. 28.⚖️ A seesaw balances. Zoya (110 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ 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?
  32. 32.⚖️ A seesaw balances. Zoya (200 N) sits 1 m from the pivot on one side; Ravi (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Asha (600 N) sits 3 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Kabir (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (220 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 560 N at ? cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 210 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is 810 N at 30 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?
  39. 39.⚖️ A seesaw balances. Zoya (? 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?
  40. 40.⚖️ A lever bar balances. The load is 180 N at 40 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?

Answer key

  1. closer to the pivot
  2. distance from fulcrum
  3. 330
  4. turning effects match
  5. 30
  6. 3
  7. 60
  8. 50
  9. 500
  10. 1
  11. 420
  12. 360
  13. 1
  14. 3
  15. 3
  16. 400
  17. 40
  18. 50
  19. 30
  20. 330
  21. 300
  22. 400
  23. 680
  24. 300
  25. 240
  26. 440
  27. 270
  28. 330
  29. 10
  30. 600
  31. 50
  32. 2
  33. 600
  34. 1
  35. 440
  36. 10
  37. 30
  38. 270
  39. 260
  40. 30

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