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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 278 · 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 800 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?
  2. 2.⚖️ A lever bar balances. The load is 300 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?
  3. 3.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
  5. 5.⚖️ A seesaw balances. Zoya (320 N) sits 4 m from the pivot on one side; Kabir (640 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 350 N at ? cm from the fulcrum. The effort is 210 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 30 N at 100 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 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?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  11. 11.⚖️ A seesaw balances. Ravi (240 N) sits ? m from the pivot on one side; Zoya (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 700 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Meena (150 N) sits ? m from the pivot on one side; Kabir (450 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Zoya (600 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?
  15. 15.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
  16. 16.⚖️ A lever bar balances. The load is 210 N at 40 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?
  17. 17.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Arjun (390 N) sits 2 m from the pivot on one side; Kabir (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Zoya (380 N) sits ? m from the pivot on one side; Arjun (190 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 280 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?
  21. 21.⚖️ A lever bar balances. The load is 270 N at 20 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?
  22. 22.⚖️ A lever bar balances. The load is 630 N at 40 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Arjun (220 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 120 N at 50 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?
  26. 26.⚖️ A seesaw balances. Asha (340 N) sits 3 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 270 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 240 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Kabir (330 N) sits ? m from the pivot on one side; Arjun (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 560 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?
  32. 32.⚖️ A lever bar balances. The load is ? N at 40 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?
  33. 33.⚖️ A lever bar balances. The load is 70 N at 40 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?
  34. 34.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 160 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Ravi (540 N) sits ? m from the pivot on one side; Arjun (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is 540 N at 20 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?
  38. 38.⚖️ A lever bar balances. The load is 40 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?
  39. 39.⚖️ A lever bar balances. The load is 320 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 400
  2. 30
  3. 300
  4. turning effects match
  5. 2
  6. 30
  7. 10
  8. 30
  9. 600
  10. closer to the pivot
  11. 2
  12. 100
  13. 3
  14. 300
  15. distance from fulcrum
  16. 70
  17. 390
  18. 3
  19. 1
  20. 70
  21. 90
  22. 360
  23. 120
  24. 2
  25. 200
  26. 510
  27. 30
  28. 40
  29. 4
  30. 190
  31. 80
  32. 200
  33. 70
  34. 40
  35. 2
  36. 10
  37. 60
  38. 20
  39. 200
  40. 180

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