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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 927 · 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.

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  1. 1.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ 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?
  3. 3.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Arjun (170 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?
  5. 5.⚖️ A seesaw balances. Asha (800 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?
  6. 6.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  7. 7.⚖️ A seesaw balances. Arjun (400 N) sits 1 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?
  8. 8.⚖️ A seesaw balances. Asha (100 N) sits 1 m from the pivot on one side; Ravi (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Asha (170 N) sits 4 m from the pivot on one side; Ravi (? 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 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Kabir (800 N) sits ? m from the pivot on one side; Arjun (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Kabir (480 N) sits 4 m from the pivot on one side; Asha (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Kabir (570 N) sits ? m from the pivot on one side; Zoya (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Ravi (760 N) sits 4 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Zoya (360 N) sits 2 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (130 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 90 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Kabir (640 N) sits ? m from the pivot on one side; Arjun (640 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Arjun (800 N) sits ? m from the pivot on one side; Meena (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  25. 25.⚖️ A lever bar balances. The load is 400 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Meena (170 N) sits ? m from the pivot on one side; Arjun (170 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Ravi (280 N) sits 1 m from the pivot on one side; Meena (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 70 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?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Ravi (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Meena (330 N) sits ? m from the pivot on one side; Asha (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Arjun (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Kabir (540 N) sits 2 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Meena (360 N) sits 1 m from the pivot on one side; Ravi (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Arjun (760 N) sits 2 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Kabir (280 N) sits 1 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?

Answer key

  1. 10
  2. 10
  3. 200
  4. 340
  5. 200
  6. turning effects match
  7. 200
  8. 1
  9. 680
  10. 90
  11. 2
  12. 4
  13. 300
  14. 4
  15. 760
  16. 900
  17. 240
  18. closer to the pivot
  19. 520
  20. 30
  21. 300
  22. 4
  23. 1
  24. distance from fulcrum
  25. 80
  26. 1
  27. 2
  28. 30
  29. 720
  30. 2
  31. 3
  32. 2
  33. 150
  34. 360
  35. 360
  36. 200
  37. 270
  38. 3
  39. 380
  40. 140

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