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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 26 · 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.⚖️ A lever bar balances. The load is 350 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Arjun (280 N) sits 4 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  5. 5.⚖️ A seesaw balances. Asha (420 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is 420 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?
  7. 7.⚖️ A lever bar balances. The load is 800 N at 20 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?
  8. 8.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is 600 N at 10 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?
  10. 10.⚖️ A seesaw balances. Ravi (450 N) sits 1 m from the pivot on one side; Arjun (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Asha (200 N) sits 2 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?
  12. 12.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ 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?
  14. 14.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
  16. 16.⚖️ A lever bar balances. The load is 420 N at 50 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?
  17. 17.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Asha (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 20 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 30 cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Ravi (190 N) sits ? m from the pivot on one side; Kabir (570 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Arjun (540 N) sits 4 m from the pivot on one side; Ravi (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Kabir (640 N) sits 3 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?
  26. 26.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Zoya (570 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 100 N at 40 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?
  31. 31.⚖️ A seesaw balances. Asha (800 N) sits ? m from the pivot on one side; Zoya (800 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Arjun (480 N) sits 4 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  36. 36.⚖️ A lever bar balances. The load is 320 N at 30 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?
  37. 37.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Arjun (600 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?
  39. 39.⚖️ A seesaw balances. Ravi (160 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?
  40. 40.⚖️ A seesaw balances. Ravi (480 N) sits ? m from the pivot on one side; Zoya (320 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 50
  2. 600
  3. 560
  4. turning effects match
  5. 3
  6. 60
  7. 200
  8. 900
  9. 100
  10. 3
  11. 200
  12. 180
  13. 630
  14. 360
  15. closer to the pivot
  16. 300
  17. 2
  18. 40
  19. 190
  20. 100
  21. 240
  22. 3
  23. 3
  24. 300
  25. 480
  26. 3
  27. 300
  28. 10
  29. 340
  30. 80
  31. 4
  32. 10
  33. 150
  34. 480
  35. distance from fulcrum
  36. 40
  37. 50
  38. 150
  39. 160
  40. 2

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