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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 409 · 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.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
  2. 2.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  3. 3.⚖️ A seesaw balances. Zoya (400 N) sits ? m from the pivot on one side; Kabir (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Zoya (320 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ 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?
  6. 6.⚖️ A lever bar balances. The load is ? N at 40 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?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Meena (130 N) sits 2 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Asha (390 N) sits 4 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) time taken (d) colour of bar
  12. 12.⚖️ A seesaw balances. Arjun (450 N) sits 2 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 450 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 90 N at 20 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Ravi (280 N) sits 2 m from the pivot on one side; Meena (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 300 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Ravi (170 N) sits 2 m from the pivot on one side; Kabir (340 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 900 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?
  20. 20.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 250 N at ? cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ 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?
  23. 23.⚖️ A seesaw balances. Arjun (510 N) sits 2 m from the pivot on one side; Asha (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Meena (100 N) sits 3 m from the pivot on one side; Ravi (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 180 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?
  26. 26.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Ravi (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 480 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 630 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 450 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Asha (400 N) sits 2 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 180 N at 50 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?
  38. 38.⚖️ A seesaw balances. Arjun (400 N) sits 4 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?
  39. 39.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 540 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?

Answer key

  1. closer to the pivot
  2. turning effects match
  3. 3
  4. 2
  5. 100
  6. 90
  7. 120
  8. 260
  9. 520
  10. 240
  11. distance from fulcrum
  12. 300
  13. 50
  14. 90
  15. 2
  16. 800
  17. 50
  18. 1
  19. 10
  20. 220
  21. 40
  22. 480
  23. 3
  24. 1
  25. 360
  26. 150
  27. 600
  28. 4
  29. 60
  30. 100
  31. 30
  32. 4
  33. 90
  34. 50
  35. 420
  36. 400
  37. 300
  38. 400
  39. 30
  40. 90

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