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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 971 · 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 40 cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  3. 3.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 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 600 N at 20 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?
  6. 6.⚖️ A lever bar balances. The load is 400 N at 30 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?
  7. 7.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (110 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Meena (360 N) sits ? m from the pivot on one side; Ravi (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  12. 12.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Meena (320 N) sits ? m from the pivot on one side; Kabir (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ 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?
  16. 16.⚖️ A seesaw balances. Asha (720 N) sits 1 m from the pivot on one side; Kabir (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Arjun (110 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Ravi (160 N) sits ? m from the pivot on one side; Arjun (160 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (110 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?
  24. 24.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  26. 26.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Zoya (240 N) sits ? m from the pivot on one side; Asha (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 120 N at 20 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?
  29. 29.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 150 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Kabir (680 N) sits 2 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?
  31. 31.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Asha (200 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?
  35. 35.⚖️ A lever bar balances. The load is 320 N at 20 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?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Zoya (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 320 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Kabir (800 N) sits 4 m from the pivot on one side; Ravi (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 120
  2. closer to the pivot
  3. 110
  4. 630
  5. 100
  6. 150
  7. 10
  8. 330
  9. 800
  10. 3
  11. turning effects match
  12. 680
  13. 2
  14. 800
  15. 560
  16. 4
  17. 280
  18. 50
  19. 1
  20. 40
  21. 1
  22. 900
  23. 440
  24. 480
  25. distance from fulcrum
  26. 270
  27. 1
  28. 40
  29. 50
  30. 340
  31. 200
  32. 2
  33. 420
  34. 2
  35. 80
  36. 240
  37. 2
  38. 40
  39. 20
  40. 4

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