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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 418 · 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.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  2. 2.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A seesaw balances. Meena (150 N) sits 2 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 700 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?
  7. 7.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  8. 8.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 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 ? N at 20 cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A lever bar balances. The load is 360 N at 40 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 4 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) farther from the pivot (c) closer to the pivot (d) anywhere
  13. 13.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (? 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?
  15. 15.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (320 N) sits 2 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 10 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is 160 N at 40 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?
  19. 19.⚖️ A lever bar balances. The load is 350 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Kabir (150 N) sits 3 m from the pivot on one side; Zoya (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 600 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 60 N at 40 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?
  24. 24.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Meena (200 N) sits 4 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?
  26. 26.⚖️ A seesaw balances. Asha (260 N) sits 3 m from the pivot on one side; Kabir (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Ravi (520 N) sits 3 m from the pivot on one side; Meena (390 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 600 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?
  29. 29.⚖️ A seesaw balances. Ravi (600 N) sits 2 m from the pivot on one side; Kabir (400 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 100 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 60 N at 30 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?
  32. 32.⚖️ A seesaw balances. Meena (240 N) sits ? m from the pivot on one side; Arjun (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Kabir (510 N) sits 4 m from the pivot on one side; Meena (680 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 1 m from the pivot on one side; Ravi (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Asha (680 N) sits 3 m from the pivot on one side; Ravi (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (640 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?
  37. 37.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (800 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Meena (140 N) sits ? m from the pivot on one side; Arjun (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 60 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?
  40. 40.⚖️ A lever bar balances. The load is 300 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?

Answer key

  1. distance from fulcrum
  2. 440
  3. 160
  4. 20
  5. 300
  6. 300
  7. turning effects match
  8. 700
  9. 20
  10. 60
  11. 760
  12. closer to the pivot
  13. 150
  14. 680
  15. 570
  16. 320
  17. 360
  18. 80
  19. 50
  20. 1
  21. 360
  22. 100
  23. 30
  24. 10
  25. 2
  26. 2
  27. 4
  28. 60
  29. 3
  30. 60
  31. 90
  32. 3
  33. 3
  34. 480
  35. 4
  36. 320
  37. 400
  38. 1
  39. 60
  40. 100

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