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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 658 · 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 (140 N) sits 1 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?
  2. 2.⚖️ A seesaw balances. Asha (680 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Arjun (600 N) sits 4 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  6. 6.⚖️ A lever bar balances. The load is 630 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Meena (120 N) sits ? m from the pivot on one side; Zoya (240 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (600 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Arjun (390 N) sits ? m from the pivot on one side; Meena (520 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) the bar is short (d) both weights are equal
  12. 12.⚖️ A seesaw balances. Kabir (340 N) sits 4 m from the pivot on one side; Zoya (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Asha (320 N) sits ? m from the pivot on one side; Arjun (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 250 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Ravi (320 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Ravi (640 N) sits ? m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (760 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Arjun (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Ravi (160 N) sits 1 m from the pivot on one side; Asha (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 90 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 10 cm from the fulcrum. The effort is 10 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 70 N at 20 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 350 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?
  27. 27.⚖️ A lever bar balances. The load is 630 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 800 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?
  32. 32.⚖️ A seesaw balances. Meena (600 N) sits 4 m from the pivot on one side; Zoya (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 240 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 2 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; Asha (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 900 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is 600 N at 40 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Meena (340 N) sits 2 m from the pivot on one side; Arjun (340 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 490 N at ? cm from the fulcrum. The effort is 70 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 270 N at 30 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 140
  2. 680
  3. 800
  4. distance from fulcrum
  5. closer to the pivot
  6. 70
  7. 2
  8. 190
  9. 800
  10. 4
  11. turning effects match
  12. 2
  13. 420
  14. 2
  15. 50
  16. 2
  17. 3
  18. 140
  19. 380
  20. 4
  21. 1
  22. 480
  23. 30
  24. 80
  25. 20
  26. 70
  27. 90
  28. 20
  29. 280
  30. 40
  31. 30
  32. 4
  33. 60
  34. 300
  35. 120
  36. 90
  37. 100
  38. 2
  39. 10
  40. 90

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