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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 440 · 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 (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 210 N at 30 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (110 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  5. 5.⚖️ A seesaw balances. Arjun (800 N) sits 3 m from the pivot on one side; Ravi (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is ? N at 10 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?
  7. 7.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Asha (420 N) sits 2 m from the pivot on one side; Ravi (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Kabir (560 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?
  11. 11.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A lever bar balances. The load is 300 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?
  14. 14.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Arjun (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (450 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?
  17. 17.⚖️ A seesaw balances. Zoya (420 N) sits 2 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?
  18. 18.⚖️ A seesaw balances. Kabir (360 N) sits 1 m from the pivot on one side; Ravi (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  20. 20.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) farther from the pivot (d) closer to the pivot
  22. 22.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Zoya (300 N) sits ? m from the pivot on one side; Arjun (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is 180 N at 50 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?
  27. 27.⚖️ A lever bar balances. The load is 720 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?
  28. 28.⚖️ A lever bar balances. The load is 20 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?
  29. 29.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (180 N) sits ? m from the pivot on one side; Kabir (540 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Ravi (320 N) sits ? m from the pivot on one side; Kabir (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (110 N) sits 1 m from the pivot on one side; Zoya (110 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 10 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 1000 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?
  35. 35.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 180 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 360
  2. 70
  3. 330
  4. distance from fulcrum
  5. 4
  6. 60
  7. 30
  8. 200
  9. 3
  10. 140
  11. 270
  12. 350
  13. 400
  14. 2
  15. 570
  16. 300
  17. 280
  18. 3
  19. turning effects match
  20. 200
  21. closer to the pivot
  22. 420
  23. 300
  24. 160
  25. 1
  26. 150
  27. 450
  28. 20
  29. 180
  30. 3
  31. 1
  32. 1
  33. 90
  34. 20
  35. 200
  36. 30
  37. 180
  38. 800
  39. 20
  40. 540

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