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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 183 · 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.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  2. 2.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Ravi (100 N) sits ? m from the pivot on one side; Zoya (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the bar is short (d) the fulcrum moves
  6. 6.⚖️ A seesaw balances. Zoya (150 N) sits 1 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (240 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 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?
  9. 9.⚖️ A lever bar balances. The load is ? N at 40 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?
  10. 10.⚖️ A lever bar balances. The load is 300 N at 30 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Asha (100 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 70 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A lever bar balances. The load is 80 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?
  14. 14.⚖️ A lever bar balances. The load is 800 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Meena (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  18. 18.⚖️ A seesaw balances. Arjun (520 N) sits 2 m from the pivot on one side; Asha (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 90 N at 50 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?
  20. 20.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 400 N at 10 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?
  22. 22.⚖️ A seesaw balances. Kabir (190 N) sits ? m from the pivot on one side; Meena (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Meena (180 N) sits ? m from the pivot on one side; Zoya (540 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 70 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?
  26. 26.⚖️ A lever bar balances. The load is 60 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is 120 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?
  30. 30.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is 80 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is 60 N at 20 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?
  33. 33.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 420 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?
  35. 35.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Kabir (220 N) sits 2 m from the pivot on one side; Asha (220 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 ? N at 40 cm from the fulcrum. The effort is 120 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 ? N at 10 cm from the fulcrum. The effort is 50 N at 70 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 20 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. closer to the pivot
  2. 400
  3. 4
  4. 600
  5. turning effects match
  6. 150
  7. 360
  8. 20
  9. 120
  10. 90
  11. 1
  12. 10
  13. 40
  14. 80
  15. 4
  16. 30
  17. distance from fulcrum
  18. 4
  19. 50
  20. 480
  21. 100
  22. 2
  23. 140
  24. 3
  25. 70
  26. 30
  27. 200
  28. 180
  29. 20
  30. 30
  31. 20
  32. 60
  33. 50
  34. 70
  35. 720
  36. 2
  37. 270
  38. 350
  39. 500
  40. 240

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