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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 682 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) time taken (d) colour of bar
  2. 2.⚖️ A lever bar balances. The load is 900 N at 50 cm from the fulcrum. The effort is 500 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Kabir (160 N) sits ? m from the pivot on one side; Zoya (320 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Ravi (150 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Arjun (150 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?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (760 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 350 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?
  9. 9.⚖️ A lever bar balances. The load is 20 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A seesaw balances. Zoya (640 N) sits 2 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Arjun (800 N) sits 1 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?
  12. 12.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  13. 13.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Zoya (300 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 ? N at 10 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (680 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Asha (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?
  20. 20.⚖️ A lever bar balances. The load is 160 N at 50 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Meena (200 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  26. 26.⚖️ A seesaw balances. Asha (560 N) sits 2 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?
  27. 27.⚖️ A seesaw balances. Asha (680 N) sits 2 m from the pivot on one side; Arjun (340 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 480 N at ? cm from the fulcrum. The effort is 320 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Ravi (190 N) sits 3 m from the pivot on one side; Arjun (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Kabir (450 N) sits ? m from the pivot on one side; Zoya (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Zoya (540 N) sits 3 m from the pivot on one side; Kabir (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (190 N) sits 2 m from the pivot on one side; Zoya (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Meena (600 N) sits ? m from the pivot on one side; Ravi (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 300 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?
  35. 35.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (520 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Zoya (570 N) sits 3 m from the pivot on one side; Ravi (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Kabir (300 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 100 N at ? cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 400 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. distance from fulcrum
  2. 90
  3. 2
  4. 150
  5. 420
  6. 2
  7. 570
  8. 150
  9. 20
  10. 320
  11. 200
  12. turning effects match
  13. 3
  14. 180
  15. 680
  16. 400
  17. 190
  18. 480
  19. 4
  20. 100
  21. 270
  22. 220
  23. 400
  24. 1
  25. closer to the pivot
  26. 280
  27. 4
  28. 40
  29. 1
  30. 4
  31. 3
  32. 1
  33. 3
  34. 30
  35. 30
  36. 390
  37. 3
  38. 2
  39. 20
  40. 40

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