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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 988 · 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. Meena (? N) sits 4 m from the pivot on one side; Kabir (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 810 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
  4. 4.⚖️ A seesaw balances. Asha (140 N) sits ? m from the pivot on one side; Ravi (560 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 10 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?
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  10. 10.⚖️ A seesaw balances. Zoya (560 N) sits 1 m from the pivot on one side; Arjun (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Arjun (320 N) sits ? m from the pivot on one side; Ravi (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 210 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  14. 14.⚖️ 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?
  15. 15.⚖️ A seesaw balances. Ravi (570 N) sits 1 m from the pivot on one side; Zoya (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Kabir (560 N) sits 3 m from the pivot on one side; Arjun (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Zoya (400 N) sits 4 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?
  22. 22.⚖️ A lever bar balances. The load is 360 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 630 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Asha (120 N) sits 1 m from the pivot on one side; Zoya (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Asha (170 N) sits 2 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Kabir (390 N) sits 4 m from the pivot on one side; Ravi (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Meena (220 N) sits 1 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 280 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ 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?
  32. 32.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Kabir (190 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Zoya (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 320 N at 40 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Arjun (640 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Ravi (570 N) sits 4 m from the pivot on one side; Asha (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 100
  2. 180
  3. turning effects match
  4. 4
  5. 30
  6. 120
  7. 40
  8. 300
  9. closer to the pivot
  10. 4
  11. 1
  12. 30
  13. distance from fulcrum
  14. 60
  15. 3
  16. 4
  17. 200
  18. 4
  19. 50
  20. 120
  21. 800
  22. 80
  23. 560
  24. 70
  25. 110
  26. 1
  27. 340
  28. 3
  29. 110
  30. 40
  31. 210
  32. 10
  33. 360
  34. 1
  35. 4
  36. 320
  37. 300
  38. 4
  39. 10
  40. 3

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