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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 629 · 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 balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  2. 2.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 200 N at 10 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Asha (390 N) sits 1 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Ravi (340 N) sits 3 m from the pivot on one side; Asha (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  9. 9.⚖️ A lever bar balances. The load is ? N at 40 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 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 240 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?
  12. 12.⚖️ A seesaw balances. Arjun (190 N) sits 4 m from the pivot on one side; Kabir (760 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 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?
  14. 14.⚖️ A seesaw balances. Arjun (640 N) sits 2 m from the pivot on one side; Meena (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 300 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Meena (720 N) sits 3 m from the pivot on one side; Zoya (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 1000 N at ? cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Asha (150 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?
  23. 23.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  24. 24.⚖️ A seesaw balances. Meena (380 N) sits 3 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is 180 N at 10 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?
  26. 26.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Arjun (680 N) sits 2 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?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 320 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Arjun (200 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 270 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Kabir (520 N) sits 3 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?
  35. 35.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (760 N) sits ? m from the pivot on one side; Asha (760 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 210 N at 10 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 60 N at 20 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is 80 N at 50 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. turning effects match
  2. 180
  3. 40
  4. 130
  5. 60
  6. 2
  7. 630
  8. distance from fulcrum
  9. 180
  10. 280
  11. 180
  12. 1
  13. 360
  14. 4
  15. 150
  16. 120
  17. 50
  18. 4
  19. 10
  20. 30
  21. 50
  22. 150
  23. closer to the pivot
  24. 570
  25. 20
  26. 810
  27. 280
  28. 340
  29. 720
  30. 40
  31. 600
  32. 1
  33. 30
  34. 390
  35. 680
  36. 4
  37. 300
  38. 70
  39. 40
  40. 100

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