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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 415 · 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 30 cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
  3. 3.⚖️ A lever bar balances. The load is 210 N at 10 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 480 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Kabir (190 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?
  7. 7.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Asha (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Zoya (150 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is 100 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  11. 11.⚖️ A seesaw balances. Ravi (190 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?
  12. 12.⚖️ A lever bar balances. The load is 560 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?
  13. 13.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 540 N at 50 cm from the fulcrum. The effort is 450 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 90 N at ? cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Zoya (180 N) sits 2 m from the pivot on one side; Asha (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is 700 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?
  18. 18.⚖️ A lever bar balances. The load is 120 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?
  19. 19.⚖️ A lever bar balances. The load is 50 N at 10 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (340 N) sits 2 m from the pivot on one side; Meena (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Meena (320 N) sits 1 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?
  22. 22.⚖️ A seesaw balances. Meena (400 N) sits 3 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?
  23. 23.⚖️ 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?
  24. 24.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 1 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 40 cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) anywhere (d) on the pivot
  27. 27.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (540 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (400 N) sits 4 m from the pivot on one side; Zoya (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Ravi (180 N) sits ? m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 800 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?
  31. 31.⚖️ A lever bar balances. The load is 300 N at 20 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A lever bar balances. The load is 540 N at 50 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?
  33. 33.⚖️ A seesaw balances. Ravi (600 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?
  34. 34.⚖️ A lever bar balances. The load is 30 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Asha (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (360 N) sits 3 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 400 N at 40 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?
  39. 39.⚖️ A lever bar balances. The load is 300 N at 40 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?
  40. 40.⚖️ A lever bar balances. The load is 900 N at 40 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?

Answer key

  1. 180
  2. turning effects match
  3. 70
  4. 20
  5. 60
  6. 570
  7. 2
  8. 1
  9. 100
  10. distance from fulcrum
  11. 190
  12. 80
  13. 60
  14. 60
  15. 50
  16. 1
  17. 70
  18. 20
  19. 10
  20. 2
  21. 160
  22. 600
  23. 900
  24. 150
  25. 30
  26. closer to the pivot
  27. 360
  28. 2
  29. 2
  30. 400
  31. 120
  32. 300
  33. 200
  34. 30
  35. 200
  36. 3
  37. 300
  38. 160
  39. 120
  40. 360

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