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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 780 · 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 120 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?
  2. 2.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 700 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?
  4. 4.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 70 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) the bar is short (c) both weights are equal (d) turning effects match
  6. 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Meena (120 N) sits ? m from the pivot on one side; Ravi (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Kabir (150 N) sits 2 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?
  11. 11.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 140 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Asha (170 N) sits 1 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Asha (380 N) sits ? m from the pivot on one side; Ravi (760 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Ravi (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 800 N at 20 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?
  19. 19.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Ravi (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 140 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?
  21. 21.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Ravi (140 N) sits ? m from the pivot on one side; Arjun (560 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Zoya (240 N) sits ? m from the pivot on one side; Kabir (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  25. 25.⚖️ A lever bar balances. The load is 240 N at 50 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?
  26. 26.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 250 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?
  28. 28.⚖️ A seesaw balances. Zoya (300 N) sits ? m from the pivot on one side; Arjun (150 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) farther from the pivot (d) closer to the pivot
  30. 30.⚖️ A lever bar balances. The load is 80 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?
  31. 31.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (720 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (220 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (280 N) sits ? m from the pivot on one side; Meena (140 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is 160 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?
  36. 36.⚖️ A seesaw balances. Kabir (330 N) sits ? m from the pivot on one side; Ravi (330 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 60 N at 50 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?
  38. 38.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 360 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?

Answer key

  1. 30
  2. 40
  3. 20
  4. 210
  5. turning effects match
  6. 240
  7. 40
  8. 60
  9. 4
  10. 300
  11. 20
  12. 170
  13. 400
  14. 90
  15. 4
  16. 110
  17. 3
  18. 80
  19. 4
  20. 280
  21. 380
  22. 4
  23. 3
  24. distance from fulcrum
  25. 80
  26. 110
  27. 150
  28. 1
  29. closer to the pivot
  30. 10
  31. 360
  32. 220
  33. 1
  34. 20
  35. 20
  36. 3
  37. 30
  38. 20
  39. 190
  40. 360

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