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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 106 · 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 seesaw balances. Kabir (340 N) sits 3 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  4. 4.⚖️ A lever bar balances. The load is 100 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?
  5. 5.⚖️ A lever bar balances. The load is 360 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is 300 N at 10 cm from the fulcrum. The effort is 50 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 70 N at 30 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Asha (600 N) sits 4 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?
  10. 10.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 350 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (320 N) sits 3 m from the pivot on one side; Ravi (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (220 N) sits 2 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  17. 17.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Arjun (450 N) sits ? m from the pivot on one side; Kabir (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 360 N at 10 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Kabir (640 N) sits ? m from the pivot on one side; Arjun (160 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Arjun (440 N) sits ? m from the pivot on one side; Meena (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 3 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 10 cm from the fulcrum. The effort is 10 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
  27. 27.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A lever bar balances. The load is 900 N at 20 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Meena (390 N) sits 2 m from the pivot on one side; Arjun (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Ravi (280 N) sits 1 m from the pivot on one side; Kabir (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 60 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?
  32. 32.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 300 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Zoya (360 N) sits 1 m from the pivot on one side; Meena (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Ravi (260 N) sits 2 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 300 N at 40 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?
  36. 36.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Zoya (110 N) sits 4 m from the pivot on one side; Asha (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Ravi (420 N) sits 1 m from the pivot on one side; Zoya (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 510
  2. 50
  3. distance from fulcrum
  4. 20
  5. 90
  6. 60
  7. 30
  8. 90
  9. 800
  10. 50
  11. 210
  12. 50
  13. 400
  14. 2
  15. 220
  16. closer to the pivot
  17. 100
  18. 1
  19. 360
  20. 60
  21. 630
  22. 1
  23. 1
  24. 360
  25. 100
  26. turning effects match
  27. 450
  28. 180
  29. 3
  30. 2
  31. 50
  32. 50
  33. 2
  34. 260
  35. 200
  36. 600
  37. 50
  38. 1
  39. 420
  40. 3

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