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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 499 · 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. Kabir (600 N) sits 2 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  3. 3.⚖️ A seesaw balances. Arjun (170 N) sits ? m from the pivot on one side; Kabir (680 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (570 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is 60 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?
  8. 8.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  9. 9.⚖️ A seesaw balances. Arjun (100 N) sits 4 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 150 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  13. 13.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Meena (480 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?
  15. 15.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 90 N at 30 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Asha (120 N) sits 4 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 150 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?
  22. 22.⚖️ A seesaw balances. Ravi (280 N) sits 1 m from the pivot on one side; Zoya (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 540 N at 50 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?
  25. 25.⚖️ A lever bar balances. The load is 90 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?
  26. 26.⚖️ A lever bar balances. The load is 210 N at 30 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?
  27. 27.⚖️ A seesaw balances. Asha (600 N) sits 1 m from the pivot on one side; Ravi (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Arjun (800 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?
  29. 29.⚖️ A seesaw balances. Ravi (520 N) sits 1 m from the pivot on one side; Asha (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (330 N) sits ? m from the pivot on one side; Ravi (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Asha (440 N) sits 3 m from the pivot on one side; Meena (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Asha (110 N) sits 1 m from the pivot on one side; Meena (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 180 N at 20 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?
  38. 38.⚖️ A lever bar balances. The load is 560 N at 30 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?
  39. 39.⚖️ A lever bar balances. The load is ? N at 50 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?
  40. 40.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 3
  2. turning effects match
  3. 4
  4. 180
  5. 20
  6. 380
  7. 30
  8. distance from fulcrum
  9. 1
  10. 50
  11. 120
  12. closer to the pivot
  13. 140
  14. 480
  15. 190
  16. 160
  17. 330
  18. 30
  19. 1
  20. 40
  21. 120
  22. 2
  23. 480
  24. 450
  25. 20
  26. 90
  27. 4
  28. 600
  29. 4
  30. 560
  31. 1
  32. 40
  33. 810
  34. 4
  35. 450
  36. 1
  37. 40
  38. 210
  39. 50
  40. 320

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