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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 248 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Ravi (240 N) sits 3 m from the pivot on one side; Meena (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (340 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) the bar is short (d) both weights are equal
  7. 7.⚖️ A seesaw balances. Arjun (600 N) sits ? m from the pivot on one side; Kabir (800 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  9. 9.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  10. 10.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 140 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Zoya (390 N) sits 1 m from the pivot on one side; Ravi (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 400 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is 240 N at 40 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Zoya (140 N) sits ? m from the pivot on one side; Meena (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Asha (110 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Zoya (360 N) sits 4 m from the pivot on one side; Arjun (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 90 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 150 N at 10 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?
  22. 22.⚖️ A seesaw balances. Kabir (260 N) sits 1 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?
  23. 23.⚖️ A seesaw balances. Zoya (480 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?
  24. 24.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Zoya (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Zoya (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Asha (? 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?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Ravi (170 N) sits 1 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?
  30. 30.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 900 N at 10 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?
  32. 32.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 40 N at 10 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?
  35. 35.⚖️ A lever bar balances. The load is 40 N at 10 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?
  36. 36.⚖️ A seesaw balances. Arjun (510 N) sits ? m from the pivot on one side; Ravi (340 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 630 N at ? cm from the fulcrum. The effort is 280 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (140 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Asha (480 N) sits 4 m from the pivot on one side; Meena (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Meena (570 N) sits ? m from the pivot on one side; Arjun (570 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 640
  2. 2
  3. 600
  4. 510
  5. 180
  6. turning effects match
  7. 4
  8. closer to the pivot
  9. distance from fulcrum
  10. 20
  11. 3
  12. 80
  13. 360
  14. 10
  15. 120
  16. 30
  17. 2
  18. 1
  19. 2
  20. 30
  21. 30
  22. 130
  23. 360
  24. 2
  25. 2
  26. 480
  27. 190
  28. 600
  29. 170
  30. 270
  31. 90
  32. 220
  33. 130
  34. 10
  35. 20
  36. 2
  37. 40
  38. 280
  39. 3
  40. 3

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