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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 841 · 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 150 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?
  2. 2.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  3. 3.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  4. 4.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Meena (220 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is 270 N at 40 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?
  8. 8.⚖️ A lever bar balances. The load is 60 N at 50 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?
  9. 9.⚖️ A lever bar balances. The load is 480 N at 50 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (390 N) sits ? m from the pivot on one side; Arjun (520 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Kabir (760 N) sits ? m from the pivot on one side; Asha (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Ravi (180 N) sits 2 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 560 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?
  19. 19.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Zoya (380 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 360 N at 10 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?
  23. 23.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
  24. 24.⚖️ A lever bar balances. The load is 450 N at 10 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?
  25. 25.⚖️ A seesaw balances. Arjun (560 N) sits ? m from the pivot on one side; Zoya (280 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Kabir (360 N) sits ? m from the pivot on one side; Zoya (120 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 240 N at 40 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?
  28. 28.⚖️ A seesaw balances. Meena (190 N) sits 4 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 30 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Zoya (240 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Arjun (200 N) sits 4 m from the pivot on one side; Asha (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Zoya (190 N) sits ? m from the pivot on one side; Kabir (570 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 900 N at 50 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 seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Meena (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (300 N) sits 3 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Meena (300 N) sits 1 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 40
  2. distance from fulcrum
  3. turning effects match
  4. 450
  5. 2
  6. 720
  7. 360
  8. 30
  9. 80
  10. 140
  11. 20
  12. 150
  13. 4
  14. 2
  15. 4
  16. 140
  17. 1
  18. 70
  19. 240
  20. 1
  21. 380
  22. 90
  23. closer to the pivot
  24. 90
  25. 2
  26. 1
  27. 40
  28. 760
  29. 10
  30. 2
  31. 420
  32. 2
  33. 3
  34. 560
  35. 480
  36. 560
  37. 500
  38. 2
  39. 3
  40. 150

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