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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 24 · 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 balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  2. 2.⚖️ A seesaw balances. Zoya (300 N) sits 2 m from the pivot on one side; Arjun (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  4. 4.⚖️ A lever bar balances. The load is 70 N at 20 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?
  5. 5.⚖️ A lever bar balances. The load is 300 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?
  6. 6.⚖️ A seesaw balances. Zoya (130 N) sits ? m from the pivot on one side; Kabir (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Kabir (420 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is 210 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A lever bar balances. The load is 200 N at 50 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?
  10. 10.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Meena (240 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  12. 12.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 20 N at 70 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 40 cm from the fulcrum. The effort is 360 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Asha (190 N) sits 4 m from the pivot on one side; Zoya (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Ravi (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (540 N) sits ? m from the pivot on one side; Meena (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is 90 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?
  18. 18.⚖️ 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?
  19. 19.⚖️ A seesaw balances. Meena (600 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?
  20. 20.⚖️ A lever bar balances. The load is 800 N at 50 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?
  21. 21.⚖️ A lever bar balances. The load is 30 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?
  22. 22.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Arjun (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 350 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Meena (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Asha (200 N) sits 4 m from the pivot on one side; Ravi (? N) sits 1 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 200 N at 100 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 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?
  29. 29.⚖️ A lever bar balances. The load is 140 N at 10 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?
  30. 30.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Kabir (400 N) sits 4 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?
  32. 32.⚖️ A seesaw balances. Kabir (300 N) sits 4 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 80 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Kabir (480 N) sits 1 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 60 N at 40 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (480 N) sits 3 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 100 N at 20 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. turning effects match
  2. 3
  3. closer to the pivot
  4. 20
  5. 10
  6. 3
  7. 3
  8. 30
  9. 200
  10. 2
  11. distance from fulcrum
  12. 10
  13. 720
  14. 1
  15. 260
  16. 1
  17. 90
  18. 50
  19. 150
  20. 400
  21. 10
  22. 1
  23. 50
  24. 20
  25. 1
  26. 800
  27. 1000
  28. 30
  29. 20
  30. 40
  31. 800
  32. 3
  33. 200
  34. 20
  35. 120
  36. 80
  37. 20
  38. 4
  39. 100
  40. 320

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