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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 829 · 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 160 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?
  2. 2.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Arjun (570 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 240 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?
  5. 5.⚖️ A seesaw balances. Meena (800 N) sits ? m from the pivot on one side; Ravi (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Kabir (640 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?
  9. 9.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 4 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 30 cm from the fulcrum. The effort is 270 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Arjun (180 N) sits 1 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?
  12. 12.⚖️ A lever bar balances. The load is 560 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?
  13. 13.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) farther from the pivot (d) anywhere
  16. 16.⚖️ 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?
  17. 17.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  18. 18.⚖️ A lever bar balances. The load is 240 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?
  19. 19.⚖️ A seesaw balances. Asha (130 N) sits 4 m from the pivot on one side; Kabir (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Kabir (200 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?
  21. 21.⚖️ A seesaw balances. Kabir (360 N) sits ? m from the pivot on one side; Asha (540 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Asha (510 N) sits 1 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?
  23. 23.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the fulcrum moves (d) the bar is short
  24. 24.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 280 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Asha (300 N) sits 2 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 400 N at 20 cm from the fulcrum. The effort is 200 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 50 cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Arjun (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ 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?
  31. 31.⚖️ A lever bar balances. The load is 630 N at 30 cm from the fulcrum. The effort is 270 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 1000 N at ? cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 150 N at 50 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?
  34. 34.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 300 N at 10 cm from the fulcrum. The effort is 100 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 300 N at ? cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ 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?

Answer key

  1. 40
  2. 150
  3. 570
  4. 60
  5. 2
  6. 810
  7. 720
  8. 320
  9. 640
  10. 540
  11. 180
  12. 280
  13. 20
  14. 20
  15. closer to the pivot
  16. 10
  17. distance from fulcrum
  18. 60
  19. 1
  20. 100
  21. 3
  22. 170
  23. turning effects match
  24. 40
  25. 300
  26. 210
  27. 40
  28. 40
  29. 2
  30. 70
  31. 70
  32. 30
  33. 50
  34. 20
  35. 130
  36. 30
  37. 20
  38. 150
  39. 260
  40. 20

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