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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 766 · 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. Ravi (140 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?
  2. 2.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 450 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) colour of bar (d) time taken
  5. 5.⚖️ A lever bar balances. The load is 240 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?
  6. 6.⚖️ A seesaw balances. Ravi (680 N) sits 3 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Arjun (160 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 210 N at 10 cm from the fulcrum. The effort is 70 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 280 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 120 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?
  12. 12.⚖️ A lever bar balances. The load is 150 N at 40 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?
  13. 13.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 120 N at 20 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Kabir (130 N) sits 2 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 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?
  17. 17.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ 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?
  19. 19.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 200 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?
  25. 25.⚖️ A seesaw balances. Arjun (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Meena (600 N) sits 4 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?
  27. 27.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (130 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (570 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 160 N at 10 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?
  30. 30.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 180 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?
  32. 32.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 200 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?
  34. 34.⚖️ A lever bar balances. The load is 40 N at 40 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Kabir (520 N) sits ? m from the pivot on one side; Meena (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (640 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 560
  2. 50
  3. 50
  4. distance from fulcrum
  5. 40
  6. 510
  7. 1
  8. 30
  9. 40
  10. 160
  11. 40
  12. 50
  13. 120
  14. 60
  15. 260
  16. 100
  17. 10
  18. 90
  19. 110
  20. 280
  21. 720
  22. turning effects match
  23. 100
  24. 50
  25. 1
  26. 600
  27. 520
  28. 760
  29. 20
  30. 130
  31. 240
  32. 520
  33. 20
  34. 80
  35. 80
  36. 2
  37. 160
  38. 540
  39. 420
  40. 800

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