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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 397 · 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 seesaw balances. Meena (200 N) sits 2 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?
  2. 2.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Meena (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is 100 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?
  4. 4.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  5. 5.⚖️ A lever bar balances. The load is 500 N at 30 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?
  6. 6.⚖️ A lever bar balances. The load is 320 N at 40 cm from the fulcrum. The effort is 160 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 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?
  8. 8.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  10. 10.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (150 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (340 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Asha (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 90 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Zoya (300 N) sits ? m from the pivot on one side; Meena (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Arjun (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Ravi (130 N) sits 1 m from the pivot on one side; Arjun (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Asha (150 N) sits 4 m from the pivot on one side; Zoya (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Ravi (? N) sits 3 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?
  26. 26.⚖️ A lever bar balances. The load is 540 N at 40 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 200 N at 20 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?
  28. 28.⚖️ A seesaw balances. Ravi (300 N) sits ? m from the pivot on one side; Kabir (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (150 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 ? cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ 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?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 90 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?
  34. 34.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (440 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Asha (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Asha (390 N) sits 2 m from the pivot on one side; Zoya (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Zoya (130 N) sits ? m from the pivot on one side; Ravi (130 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 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?
  40. 40.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 210 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 400
  2. 2
  3. 50
  4. distance from fulcrum
  5. 300
  6. 80
  7. 30
  8. turning effects match
  9. closer to the pivot
  10. 280
  11. 600
  12. 340
  13. 380
  14. 200
  15. 120
  16. 480
  17. 480
  18. 1
  19. 10
  20. 4
  21. 170
  22. 320
  23. 1
  24. 1
  25. 100
  26. 360
  27. 100
  28. 4
  29. 300
  30. 10
  31. 30
  32. 360
  33. 90
  34. 330
  35. 190
  36. 3
  37. 330
  38. 1
  39. 60
  40. 30

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