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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 793 · 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 40 N at ? cm from the fulcrum. The effort is 10 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 420 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 balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  4. 4.⚖️ A seesaw balances. Ravi (120 N) sits 2 m from the pivot on one side; Zoya (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) farther from the pivot (d) closer to the pivot
  6. 6.⚖️ A lever bar balances. The load is 540 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?
  7. 7.⚖️ A lever bar balances. The load is 100 N at 10 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?
  8. 8.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (260 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?
  10. 10.⚖️ A seesaw balances. Kabir (100 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?
  11. 11.⚖️ A seesaw balances. Asha (560 N) sits 4 m from the pivot on one side; Arjun (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Meena (110 N) sits 3 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. Asha (110 N) sits ? m from the pivot on one side; Zoya (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (440 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 90 N at 40 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?
  16. 16.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Meena (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Zoya (110 N) sits 3 m from the pivot on one side; Kabir (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Arjun (560 N) sits 3 m from the pivot on one side; Meena (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Zoya (390 N) sits 1 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 80 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?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 300 N at 30 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?
  27. 27.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  28. 28.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Zoya (440 N) sits 2 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Arjun (360 N) sits 3 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?
  33. 33.⚖️ A lever bar balances. The load is 360 N at 50 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?
  34. 34.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is 320 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?
  36. 36.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is 20 N at 10 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?
  38. 38.⚖️ A seesaw balances. Kabir (360 N) sits ? m from the pivot on one side; Asha (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 10
  2. 60
  3. turning effects match
  4. 1
  5. closer to the pivot
  6. 60
  7. 50
  8. 210
  9. 130
  10. 200
  11. 4
  12. 330
  13. 4
  14. 440
  15. 40
  16. 4
  17. 10
  18. 1
  19. 640
  20. 1000
  21. 4
  22. 130
  23. 40
  24. 240
  25. 400
  26. 60
  27. distance from fulcrum
  28. 120
  29. 220
  30. 720
  31. 220
  32. 540
  33. 300
  34. 20
  35. 80
  36. 10
  37. 10
  38. 2
  39. 2
  40. 20

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