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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 293 · 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. Zoya (600 N) sits ? m from the pivot on one side; Meena (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Meena (220 N) sits 1 m from the pivot on one side; Kabir (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  5. 5.⚖️ A seesaw balances. Kabir (200 N) sits 3 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  7. 7.⚖️ A seesaw balances. Ravi (130 N) sits 1 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 240 N at 40 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (190 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 160 N at 10 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?
  14. 14.⚖️ A lever bar balances. The load is 300 N at 10 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?
  15. 15.⚖️ A lever bar balances. The load is 140 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?
  16. 16.⚖️ A lever bar balances. The load is 200 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?
  17. 17.⚖️ A seesaw balances. Zoya (640 N) sits ? m from the pivot on one side; Ravi (640 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Ravi (240 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?
  19. 19.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A lever bar balances. The load is 400 N at 20 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?
  22. 22.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Ravi (800 N) sits ? m from the pivot on one side; Zoya (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
  26. 26.⚖️ A seesaw balances. Ravi (600 N) sits 3 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?
  27. 27.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 500 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Ravi (220 N) sits ? m from the pivot on one side; Zoya (440 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (640 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (100 N) sits 2 m from the pivot on one side; Asha (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Asha (420 N) sits 4 m from the pivot on one side; Kabir (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Meena (300 N) sits 2 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Asha (400 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 120 N at 30 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?
  36. 36.⚖️ 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?
  37. 37.⚖️ A seesaw balances. Meena (360 N) sits 1 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (120 N) sits 3 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?
  39. 39.⚖️ A seesaw balances. Meena (360 N) sits ? m from the pivot on one side; Kabir (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is 80 N at 40 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?

Answer key

  1. 1
  2. 630
  3. 2
  4. distance from fulcrum
  5. 600
  6. turning effects match
  7. 130
  8. 120
  9. 200
  10. 20
  11. 10
  12. 760
  13. 40
  14. 50
  15. 20
  16. 50
  17. 4
  18. 240
  19. 20
  20. 350
  21. 200
  22. 20
  23. 50
  24. 1
  25. closer to the pivot
  26. 450
  27. 50
  28. 4
  29. 480
  30. 1
  31. 120
  32. 3
  33. 2
  34. 2
  35. 90
  36. 720
  37. 120
  38. 360
  39. 2
  40. 80

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