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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 429 · 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 (480 N) sits ? m from the pivot on one side; Meena (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  3. 3.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Ravi (260 N) sits 2 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Arjun (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?
  6. 6.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Meena (480 N) sits 1 m from the pivot on one side; Kabir (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  9. 9.⚖️ A seesaw balances. Zoya (560 N) sits 4 m from the pivot on one side; Arjun (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Ravi (510 N) sits 3 m from the pivot on one side; Meena (510 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 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?
  12. 12.⚖️ A seesaw balances. Meena (240 N) sits 4 m from the pivot on one side; Asha (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 200 N at 30 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?
  14. 14.⚖️ A lever bar balances. The load is 560 N at 10 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?
  15. 15.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  18. 18.⚖️ A seesaw balances. Meena (120 N) sits 1 m from the pivot on one side; Kabir (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (640 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (100 N) sits ? m from the pivot on one side; Zoya (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Kabir (420 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (110 N) sits 4 m from the pivot on one side; Zoya (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Asha (220 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?
  26. 26.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Meena (100 N) sits 3 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Arjun (300 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 400 N at 10 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 (800 N) sits 1 m from the pivot on one side; Asha (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Asha (420 N) sits 3 m from the pivot on one side; Meena (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Kabir (? 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?
  35. 35.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (300 N) sits 2 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?
  37. 37.⚖️ A seesaw balances. Zoya (480 N) sits 3 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (260 N) sits ? m from the pivot on one side; Asha (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 360 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 3
  2. distance from fulcrum
  3. 600
  4. 260
  5. 3
  6. 300
  7. 4
  8. closer to the pivot
  9. 4
  10. 3
  11. 30
  12. 2
  13. 60
  14. 70
  15. 3
  16. 480
  17. turning effects match
  18. 1
  19. 160
  20. 3
  21. 3
  22. 80
  23. 400
  24. 1
  25. 330
  26. 390
  27. 1
  28. 300
  29. 480
  30. 2
  31. 80
  32. 4
  33. 3
  34. 520
  35. 150
  36. 300
  37. 4
  38. 2
  39. 50
  40. 40

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