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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 972 · 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 (520 N) sits 4 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) turning effects match (d) both weights are equal
  5. 5.⚖️ A lever bar balances. The load is 180 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?
  6. 6.⚖️ A seesaw balances. Ravi (540 N) sits 1 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Arjun (400 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 ? N at 20 cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Meena (380 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) mass of fulcrum (d) time taken
  11. 11.⚖️ A seesaw balances. Ravi (520 N) sits ? m from the pivot on one side; Arjun (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 360 N at 40 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?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (340 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Zoya (220 N) sits 3 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  18. 18.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (450 N) sits 4 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?
  21. 21.⚖️ A seesaw balances. Arjun (800 N) sits ? m from the pivot on one side; Asha (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (480 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 400 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?
  25. 25.⚖️ A seesaw balances. Meena (800 N) sits 1 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Arjun (240 N) sits 4 m from the pivot on one side; Asha (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 700 N at 10 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?
  29. 29.⚖️ A seesaw balances. Zoya (400 N) sits 2 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (510 N) sits ? m from the pivot on one side; Ravi (170 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 270 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is 600 N at 40 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Arjun (100 N) sits 2 m from the pivot on one side; Meena (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 200 N at 20 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?
  35. 35.⚖️ A seesaw balances. Asha (720 N) sits ? m from the pivot on one side; Kabir (720 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ 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?
  39. 39.⚖️ A lever bar balances. The load is 360 N at 30 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?
  40. 40.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 50 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 520
  2. 60
  3. 140
  4. turning effects match
  5. 180
  6. 180
  7. 4
  8. 320
  9. 380
  10. distance from fulcrum
  11. 2
  12. 240
  13. 510
  14. 420
  15. 180
  16. 330
  17. closer to the pivot
  18. 10
  19. 100
  20. 600
  21. 2
  22. 50
  23. 160
  24. 40
  25. 200
  26. 90
  27. 2
  28. 70
  29. 400
  30. 1
  31. 30
  32. 100
  33. 1
  34. 40
  35. 4
  36. 110
  37. 20
  38. 300
  39. 90
  40. 50

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