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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 648 · 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 80 N at 20 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?
  2. 2.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  3. 3.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 120 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 800 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?
  6. 6.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 210 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 900 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?
  8. 8.⚖️ A seesaw balances. Ravi (760 N) sits 3 m from the pivot on one side; Kabir (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Arjun (100 N) sits 3 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  12. 12.⚖️ A lever bar balances. The load is 720 N at 30 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Meena (400 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?
  15. 15.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Kabir (450 N) sits ? m from the pivot on one side; Meena (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Zoya (300 N) sits ? m from the pivot on one side; Arjun (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Zoya (320 N) sits 4 m from the pivot on one side; Ravi (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (680 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Arjun (140 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 40 N at 40 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?
  25. 25.⚖️ A lever bar balances. The load is 180 N at 10 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 lever bar balances. The load is 20 N at 50 cm from the fulcrum. The effort is 50 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 200 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?
  28. 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 210 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (140 N) sits ? m from the pivot on one side; Ravi (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (510 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Arjun (480 N) sits 2 m from the pivot on one side; Zoya (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Ravi (120 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?
  35. 35.⚖️ A seesaw balances. Arjun (600 N) sits 3 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?
  36. 36.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Ravi (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 810 N at 10 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?
  38. 38.⚖️ 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?
  39. 39.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Ravi (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Asha (280 N) sits ? m from the pivot on one side; Ravi (280 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 40
  2. turning effects match
  3. 40
  4. 240
  5. 80
  6. 30
  7. 90
  8. 4
  9. 300
  10. 800
  11. distance from fulcrum
  12. 240
  13. 450
  14. 400
  15. 150
  16. closer to the pivot
  17. 800
  18. 1
  19. 2
  20. 2
  21. 680
  22. 400
  23. 280
  24. 80
  25. 60
  26. 20
  27. 100
  28. 350
  29. 30
  30. 2
  31. 510
  32. 20
  33. 4
  34. 120
  35. 450
  36. 2
  37. 90
  38. 90
  39. 1
  40. 2

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