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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 858 · 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.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  2. 2.⚖️ A lever bar balances. The load is 210 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?
  3. 3.⚖️ A lever bar balances. The load is 540 N at 30 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?
  4. 4.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  6. 6.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (140 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Kabir (340 N) sits 1 m from the pivot on one side; Zoya (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (540 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 720 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?
  11. 11.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Kabir (240 N) sits 4 m from the pivot on one side; Meena (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is 630 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Kabir (480 N) sits 1 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?
  17. 17.⚖️ A seesaw balances. Ravi (540 N) sits ? m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Arjun (200 N) sits 3 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Ravi (240 N) sits 1 m from the pivot on one side; Meena (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
  24. 24.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (480 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 150 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?
  27. 27.⚖️ A seesaw balances. Kabir (340 N) sits ? m from the pivot on one side; Meena (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 240 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 210 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is 200 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?
  32. 32.⚖️ A seesaw balances. Meena (170 N) sits ? m from the pivot on one side; Asha (680 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Meena (300 N) sits 3 m from the pivot on one side; Asha (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 500 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (150 N) sits 3 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 50 N at 20 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?
  39. 39.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (390 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Ravi (100 N) sits 1 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. distance from fulcrum
  2. 30
  3. 270
  4. 270
  5. closer to the pivot
  6. 360
  7. 560
  8. 2
  9. 360
  10. 90
  11. 10
  12. 2
  13. 50
  14. 20
  15. 70
  16. 120
  17. 2
  18. 50
  19. 2
  20. 2
  21. 20
  22. 520
  23. turning effects match
  24. 40
  25. 240
  26. 50
  27. 1
  28. 400
  29. 30
  30. 30
  31. 20
  32. 4
  33. 2
  34. 50
  35. 100
  36. 450
  37. 90
  38. 20
  39. 390
  40. 100

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