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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 813 · 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 400 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?
  2. 2.⚖️ A lever bar balances. The load is 180 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 lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 280 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
  6. 6.⚖️ A seesaw balances. Kabir (720 N) sits 3 m from the pivot on one side; Arjun (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Meena (200 N) sits 2 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Meena (110 N) sits 3 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is 480 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?
  13. 13.⚖️ A seesaw balances. Ravi (340 N) sits 4 m from the pivot on one side; Asha (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  15. 15.⚖️ A seesaw balances. Zoya (280 N) sits 1 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?
  16. 16.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Zoya (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Kabir (130 N) sits ? m from the pivot on one side; Zoya (390 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 120 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?
  20. 20.⚖️ A seesaw balances. Kabir (680 N) sits 4 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?
  21. 21.⚖️ 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?
  22. 22.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Asha (760 N) sits 4 m from the pivot on one side; Zoya (760 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 200 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?
  25. 25.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Meena (760 N) sits 2 m from the pivot on one side; Kabir (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ 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?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  32. 32.⚖️ A seesaw balances. Asha (150 N) sits 3 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?
  33. 33.⚖️ A seesaw balances. Asha (170 N) sits ? m from the pivot on one side; Arjun (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Arjun (100 N) sits ? m from the pivot on one side; Ravi (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 420 N at 30 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?
  36. 36.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Meena (600 N) sits ? m from the pivot on one side; Zoya (600 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 40
  2. 60
  3. 40
  4. 200
  5. turning effects match
  6. 4
  7. 200
  8. 300
  9. 330
  10. 420
  11. 20
  12. 60
  13. 2
  14. closer to the pivot
  15. 140
  16. 1
  17. 3
  18. 480
  19. 20
  20. 680
  21. 60
  22. 100
  23. 4
  24. 20
  25. 140
  26. 4
  27. 400
  28. 110
  29. 140
  30. 260
  31. distance from fulcrum
  32. 450
  33. 3
  34. 3
  35. 210
  36. 210
  37. 480
  38. 4
  39. 20
  40. 760

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