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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 906 · 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.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  3. 3.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the fulcrum moves (d) the bar is short
  4. 4.⚖️ A seesaw balances. Meena (200 N) sits 4 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Meena (800 N) sits ? m from the pivot on one side; Arjun (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is 320 N at 30 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?
  9. 9.⚖️ A seesaw balances. Arjun (340 N) sits 3 m from the pivot on one side; Zoya (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Zoya (800 N) sits 4 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?
  11. 11.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (260 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Ravi (520 N) sits 2 m from the pivot on one side; Zoya (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 250 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Ravi (380 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?
  15. 15.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is 200 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (340 N) sits 3 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 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?
  19. 19.⚖️ A seesaw balances. Meena (600 N) sits 3 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Arjun (640 N) sits 1 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?
  22. 22.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Meena (360 N) sits 2 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?
  26. 26.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 360 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 240 N at 50 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?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Ravi (110 N) sits 1 m from the pivot on one side; Arjun (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 120 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?
  32. 32.⚖️ A lever bar balances. The load is 200 N at 40 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 450 N at 30 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Arjun (190 N) sits ? m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Asha (340 N) sits 1 m from the pivot on one side; Arjun (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Asha (280 N) sits ? m from the pivot on one side; Zoya (280 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Kabir (450 N) sits 1 m from the pivot on one side; Zoya (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. distance from fulcrum
  2. closer to the pivot
  3. turning effects match
  4. 800
  5. 480
  6. 200
  7. 1
  8. 240
  9. 2
  10. 800
  11. 390
  12. 4
  13. 50
  14. 2
  15. 20
  16. 40
  17. 510
  18. 40
  19. 450
  20. 320
  21. 160
  22. 50
  23. 40
  24. 270
  25. 240
  26. 40
  27. 200
  28. 300
  29. 450
  30. 1
  31. 240
  32. 40
  33. 270
  34. 50
  35. 900
  36. 1
  37. 2
  38. 2
  39. 630
  40. 3

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