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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 233 · 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. Ravi (170 N) sits 3 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?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  3. 3.⚖️ A lever bar balances. The load is 120 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?
  4. 4.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Meena (100 N) sits ? m from the pivot on one side; Kabir (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Arjun (540 N) sits 1 m from the pivot on one side; Meena (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Zoya (560 N) sits ? m from the pivot on one side; Ravi (420 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  10. 10.⚖️ A seesaw balances. Asha (170 N) sits 3 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 360 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?
  14. 14.⚖️ A lever bar balances. The load is 100 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?
  15. 15.⚖️ A lever bar balances. The load is ? N at 10 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?
  16. 16.⚖️ A seesaw balances. Ravi (170 N) sits 3 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?
  17. 17.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  18. 18.⚖️ A lever bar balances. The load is 180 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?
  19. 19.⚖️ 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?
  20. 20.⚖️ A seesaw balances. Kabir (560 N) sits ? m from the pivot on one side; Asha (420 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 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?
  22. 22.⚖️ A seesaw balances. Ravi (220 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?
  23. 23.⚖️ 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?
  24. 24.⚖️ 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?
  25. 25.⚖️ A lever bar balances. The load is 30 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?
  26. 26.⚖️ A seesaw balances. Arjun (110 N) sits 4 m from the pivot on one side; Zoya (? 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 ? 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?
  28. 28.⚖️ A lever bar balances. The load is 120 N at 20 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?
  29. 29.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Arjun (220 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?
  32. 32.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Zoya (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (520 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ 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?
  36. 36.⚖️ A seesaw balances. Asha (200 N) sits 3 m from the pivot on one side; Kabir (600 N) sits ? 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 10 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 120 N at 40 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?
  40. 40.⚖️ A seesaw balances. Ravi (260 N) sits 3 m from the pivot on one side; Zoya (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 510
  2. closer to the pivot
  3. 40
  4. 200
  5. 1
  6. 3
  7. 3
  8. 480
  9. distance from fulcrum
  10. 510
  11. 140
  12. 170
  13. 90
  14. 60
  15. 160
  16. 510
  17. turning effects match
  18. 60
  19. 600
  20. 3
  21. 120
  22. 330
  23. 50
  24. 360
  25. 10
  26. 440
  27. 210
  28. 20
  29. 10
  30. 160
  31. 440
  32. 1
  33. 600
  34. 390
  35. 240
  36. 1
  37. 120
  38. 100
  39. 40
  40. 2

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