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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 25 · 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.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 140 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Meena (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?
  4. 4.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 60 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?
  6. 6.⚖️ A seesaw balances. Zoya (560 N) sits ? m from the pivot on one side; Meena (560 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Zoya (300 N) sits 4 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?
  8. 8.⚖️ A seesaw balances. Meena (280 N) sits 1 m from the pivot on one side; Kabir (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  12. 12.⚖️ A seesaw balances. Arjun (300 N) sits ? m from the pivot on one side; Meena (450 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 280 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Asha (330 N) sits 2 m from the pivot on one side; Arjun (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 300 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?
  16. 16.⚖️ A seesaw balances. Meena (330 N) sits 4 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?
  17. 17.⚖️ 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?
  18. 18.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
  19. 19.⚖️ A lever bar balances. The load is 210 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 280 N at 10 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?
  21. 21.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (680 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Arjun (360 N) sits 2 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Zoya (220 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?
  25. 25.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Zoya (190 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is 560 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (110 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 150 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 180 N at 30 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?
  31. 31.⚖️ A seesaw balances. Asha (130 N) sits 3 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Zoya (300 N) sits 3 m from the pivot on one side; Arjun (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Zoya (240 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Kabir (160 N) sits 1 m from the pivot on one side; Asha (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (100 N) sits ? m from the pivot on one side; Arjun (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Zoya (400 N) sits ? m from the pivot on one side; Arjun (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. closer to the pivot
  2. 20
  3. 1
  4. 40
  5. 20
  6. 4
  7. 600
  8. 2
  9. 270
  10. 50
  11. turning effects match
  12. 3
  13. 40
  14. 3
  15. 300
  16. 440
  17. 810
  18. distance from fulcrum
  19. 30
  20. 70
  21. 680
  22. 240
  23. 400
  24. 2
  25. 1
  26. 80
  27. 360
  28. 330
  29. 50
  30. 90
  31. 390
  32. 2
  33. 120
  34. 20
  35. 2
  36. 510
  37. 1
  38. 4
  39. 4
  40. 800

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