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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 10 · 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 ? N at 20 cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is 40 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?
  3. 3.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 150 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Asha (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  8. 8.⚖️ A seesaw balances. Asha (570 N) sits ? m from the pivot on one side; Ravi (760 N) sits 3 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; Asha (510 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (200 N) sits 3 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  13. 13.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 50 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  17. 17.⚖️ A lever bar balances. The load is 160 N at 40 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?
  18. 18.⚖️ A seesaw balances. Arjun (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?
  19. 19.⚖️ A seesaw balances. Asha (510 N) sits 1 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?
  20. 20.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (540 N) sits 3 m from the pivot on one side; Ravi (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (? 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?
  24. 24.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 420 N at 30 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?
  26. 26.⚖️ A seesaw balances. Zoya (360 N) sits 2 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 20 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?
  28. 28.⚖️ A lever bar balances. The load is 300 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?
  29. 29.⚖️ A seesaw balances. Kabir (170 N) sits ? m from the pivot on one side; Asha (170 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Asha (150 N) sits 4 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?
  31. 31.⚖️ A seesaw balances. Kabir (420 N) sits ? m from the pivot on one side; Meena (280 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ 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?
  33. 33.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Ravi (640 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?
  35. 35.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ 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?
  37. 37.⚖️ A seesaw balances. Arjun (170 N) sits ? m from the pivot on one side; Zoya (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Meena (560 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (600 N) sits 4 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?
  40. 40.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 160
  2. 20
  3. 400
  4. 30
  5. 10
  6. 2
  7. distance from fulcrum
  8. 4
  9. 510
  10. 2
  11. 900
  12. closer to the pivot
  13. 600
  14. 260
  15. 50
  16. turning effects match
  17. 80
  18. 3
  19. 170
  20. 510
  21. 900
  22. 3
  23. 360
  24. 2
  25. 70
  26. 240
  27. 100
  28. 30
  29. 1
  30. 600
  31. 2
  32. 270
  33. 150
  34. 160
  35. 510
  36. 20
  37. 3
  38. 420
  39. 800
  40. 300

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