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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 932 · 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 100 N at ? cm from the fulcrum. The effort is 200 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 240 N at ? cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  6. 6.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Kabir (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Arjun (720 N) sits ? m from the pivot on one side; Ravi (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Arjun (200 N) sits 2 m from the pivot on one side; Kabir (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Kabir (800 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Meena (440 N) sits 3 m from the pivot on one side; Arjun (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 480 N at 20 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Meena (120 N) sits ? m from the pivot on one side; Arjun (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 160 N at 50 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Meena (540 N) sits 2 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?
  16. 16.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) time taken (d) colour of bar
  17. 17.⚖️ A seesaw balances. Arjun (380 N) sits 3 m from the pivot on one side; Ravi (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Ravi (400 N) sits 3 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?
  19. 19.⚖️ A lever bar balances. The load is 160 N at 20 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Arjun (300 N) sits 4 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?
  21. 21.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Kabir (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Arjun (100 N) sits 4 m from the pivot on one side; Zoya (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Meena (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Asha (420 N) sits 2 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 630 N at 50 cm from the fulcrum. The effort is 450 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 400 N at ? cm from the fulcrum. The effort is 50 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is 270 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?
  33. 33.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 70 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 20 cm from the fulcrum. The effort is 140 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Asha (600 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 240 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?
  37. 37.⚖️ A seesaw balances. Ravi (180 N) sits 1 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?
  38. 38.⚖️ A lever bar balances. The load is 240 N at 10 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?
  39. 39.⚖️ A lever bar balances. The load is 80 N at 40 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 40
  2. 50
  3. 120
  4. turning effects match
  5. closer to the pivot
  6. 3
  7. 240
  8. 2
  9. 2
  10. 4
  11. 4
  12. 60
  13. 4
  14. 20
  15. 360
  16. distance from fulcrum
  17. 2
  18. 600
  19. 20
  20. 600
  21. 2
  22. 50
  23. 200
  24. 330
  25. 440
  26. 1
  27. 3
  28. 280
  29. 320
  30. 70
  31. 10
  32. 90
  33. 350
  34. 560
  35. 4
  36. 20
  37. 180
  38. 30
  39. 80
  40. 490

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