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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 368 · 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. Meena (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?
  2. 2.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Arjun (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is 400 N at 50 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?
  4. 4.⚖️ A seesaw balances. Asha (540 N) sits 1 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
  6. 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Kabir (320 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is 480 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?
  9. 9.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  10. 10.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Kabir (? N) sits 3 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?
  12. 12.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 360 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  15. 15.⚖️ A seesaw balances. Kabir (100 N) sits 3 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 80 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Meena (600 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 90 N at 50 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?
  20. 20.⚖️ A seesaw balances. Arjun (300 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?
  21. 21.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Arjun (760 N) sits 1 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is 240 N at 20 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?
  25. 25.⚖️ A lever bar balances. The load is 300 N at 40 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?
  26. 26.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 70 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 20 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 320 N at 50 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?
  31. 31.⚖️ A lever bar balances. The load is 300 N at 20 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?
  32. 32.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Zoya (140 N) sits ? m from the pivot on one side; Asha (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 280 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Asha (220 N) sits ? m from the pivot on one side; Zoya (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Arjun (480 N) sits 3 m from the pivot on one side; Meena (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 350 N at 20 cm from the fulcrum. The effort is 140 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 900 N at ? cm from the fulcrum. The effort is 270 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Asha (360 N) sits 3 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?

Answer key

  1. 600
  2. 2
  3. 250
  4. 180
  5. closer to the pivot
  6. 140
  7. 2
  8. 60
  9. turning effects match
  10. 720
  11. 100
  12. 40
  13. 40
  14. distance from fulcrum
  15. 300
  16. 80
  17. 560
  18. 4
  19. 90
  20. 150
  21. 570
  22. 190
  23. 10
  24. 80
  25. 30
  26. 10
  27. 10
  28. 320
  29. 80
  30. 400
  31. 60
  32. 30
  33. 2
  34. 70
  35. 270
  36. 1
  37. 4
  38. 50
  39. 30
  40. 540

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