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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 125 · 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. Asha (140 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  4. 4.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 250 N at 30 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?
  6. 6.⚖️ A lever bar balances. The load is 900 N at 10 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?
  7. 7.⚖️ A seesaw balances. Zoya (760 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?
  8. 8.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Meena (450 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 490 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?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A lever bar balances. The load is 240 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?
  13. 13.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Ravi (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 160 N at 10 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?
  15. 15.⚖️ A seesaw balances. Zoya (380 N) sits 1 m from the pivot on one side; Ravi (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Ravi (150 N) sits 4 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  20. 20.⚖️ A seesaw balances. Zoya (560 N) sits 2 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?
  21. 21.⚖️ A seesaw balances. Arjun (120 N) sits ? m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Asha (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (450 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  25. 25.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 810 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?
  29. 29.⚖️ A lever bar balances. The load is 40 N at 30 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Ravi (100 N) sits 1 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?
  31. 31.⚖️ A lever bar balances. The load is 160 N at 20 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?
  32. 32.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Arjun (220 N) sits 1 m from the pivot on one side; Ravi (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 150 N at 50 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (330 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 160 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is 320 N at 40 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 seesaw balances. Meena (680 N) sits ? m from the pivot on one side; Asha (170 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (540 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 1
  2. 760
  3. closer to the pivot
  4. 20
  5. 150
  6. 100
  7. 760
  8. 3
  9. 190
  10. 210
  11. 110
  12. 240
  13. 3
  14. 20
  15. 2
  16. 1
  17. 480
  18. 10
  19. turning effects match
  20. 280
  21. 3
  22. 3
  23. 450
  24. distance from fulcrum
  25. 110
  26. 390
  27. 40
  28. 180
  29. 20
  30. 100
  31. 40
  32. 400
  33. 2
  34. 150
  35. 630
  36. 220
  37. 80
  38. 160
  39. 1
  40. 360

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