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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 760 · 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 800 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Ravi (400 N) sits 1 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?
  3. 3.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  4. 4.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is 20 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Kabir (100 N) sits 1 m from the pivot on one side; Zoya (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is 250 N at 40 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?
  8. 8.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Zoya (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Ravi (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?
  11. 11.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
  12. 12.⚖️ A seesaw balances. Zoya (200 N) sits 4 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?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (510 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 60 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?
  16. 16.⚖️ A seesaw balances. Zoya (100 N) sits 4 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 70 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Kabir (180 N) sits ? m from the pivot on one side; Meena (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 20 N at 20 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?
  21. 21.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
  22. 22.⚖️ A seesaw balances. Ravi (170 N) sits ? m from the pivot on one side; Meena (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (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?
  25. 25.⚖️ A seesaw balances. Asha (480 N) sits 4 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Ravi (300 N) sits 4 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Meena (180 N) sits 4 m from the pivot on one side; Arjun (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 700 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?
  30. 30.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 640 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?
  32. 32.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Kabir (720 N) sits ? m from the pivot on one side; Zoya (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 60 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?
  35. 35.⚖️ A seesaw balances. Zoya (140 N) sits ? m from the pivot on one side; Kabir (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Arjun (400 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?
  38. 38.⚖️ A seesaw balances. Zoya (400 N) sits 3 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Meena (110 N) sits 2 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?
  40. 40.⚖️ A lever bar balances. The load is 200 N at 20 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?

Answer key

  1. 100
  2. 100
  3. distance from fulcrum
  4. 540
  5. 20
  6. 1
  7. 200
  8. 20
  9. 2
  10. 360
  11. turning effects match
  12. 800
  13. 360
  14. 680
  15. 30
  16. 1
  17. 180
  18. 10
  19. 2
  20. 20
  21. closer to the pivot
  22. 3
  23. 260
  24. 3
  25. 4
  26. 3
  27. 80
  28. 1
  29. 100
  30. 210
  31. 320
  32. 20
  33. 2
  34. 20
  35. 1
  36. 120
  37. 300
  38. 2
  39. 220
  40. 50

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