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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 984 · 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) turning effects match (c) the fulcrum moves (d) the bar is short
  2. 2.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 90 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 300 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?
  5. 5.⚖️ A lever bar balances. The load is 240 N at 10 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Ravi (130 N) sits 4 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  8. 8.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Ravi (130 N) sits 1 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 800 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?
  12. 12.⚖️ A lever bar balances. The load is 900 N at 30 cm from the fulcrum. The effort is 300 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 560 N at ? cm from the fulcrum. The effort is 350 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Asha (360 N) sits 2 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?
  15. 15.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (450 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 ? N at 30 cm from the fulcrum. The effort is 240 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 40 N at 10 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?
  20. 20.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Asha (480 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 160 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?
  25. 25.⚖️ A seesaw balances. Meena (140 N) sits ? m from the pivot on one side; Kabir (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is 270 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?
  27. 27.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Kabir (340 N) sits 3 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
  30. 30.⚖️ A lever bar balances. The load is 120 N at 50 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?
  31. 31.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 140 N at 50 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?
  36. 36.⚖️ A seesaw balances. Meena (300 N) sits 2 m from the pivot on one side; Ravi (300 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 120 N at ? cm from the fulcrum. The effort is 150 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ 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?
  39. 39.⚖️ A seesaw balances. Zoya (360 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Asha (120 N) sits 2 m from the pivot on one side; Arjun (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. turning effects match
  2. 520
  3. 90
  4. 30
  5. 30
  6. 520
  7. closer to the pivot
  8. 2
  9. 130
  10. 100
  11. 80
  12. 90
  13. 50
  14. 360
  15. 150
  16. 640
  17. 60
  18. 340
  19. 20
  20. 200
  21. 20
  22. 220
  23. 3
  24. 200
  25. 2
  26. 30
  27. 560
  28. 510
  29. distance from fulcrum
  30. 300
  31. 50
  32. 160
  33. 30
  34. 200
  35. 100
  36. 2
  37. 50
  38. 800
  39. 360
  40. 1

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