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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 560 · 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 seesaw balances. Kabir (360 N) sits ? m from the pivot on one side; Meena (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ Turning effect = force × … (a) distance from fulcrum (b) colour of bar (c) mass of fulcrum (d) time taken
  3. 3.⚖️ A seesaw balances. Meena (360 N) sits 4 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 450 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 400 N at 30 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 500 N at 40 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?
  7. 7.⚖️ A seesaw balances. Meena (510 N) sits ? m from the pivot on one side; Kabir (510 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Meena (380 N) sits 1 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  10. 10.⚖️ A lever bar balances. The load is 200 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?
  11. 11.⚖️ A seesaw balances. Asha (420 N) sits 2 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) the bar is short (d) both weights are equal
  13. 13.⚖️ A seesaw balances. Kabir (220 N) sits 3 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Zoya (220 N) sits 1 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?
  15. 15.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 280 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Meena (220 N) sits 3 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Arjun (360 N) sits 2 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?
  18. 18.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Meena (100 N) sits 2 m from the pivot on one side; Arjun (200 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 30 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?
  21. 21.⚖️ A lever bar balances. The load is 200 N at 40 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (420 N) sits 4 m from the pivot on one side; Kabir (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Meena (360 N) sits ? m from the pivot on one side; Kabir (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A seesaw balances. Kabir (600 N) sits 3 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (110 N) sits 2 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?
  28. 28.⚖️ A seesaw balances. Meena (260 N) sits ? m from the pivot on one side; Ravi (520 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 60 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 30 cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (570 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Kabir (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 540 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?
  36. 36.⚖️ A seesaw balances. Meena (100 N) sits ? m from the pivot on one side; Arjun (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Asha (200 N) sits ? m from the pivot on one side; Meena (300 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Meena (800 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?
  40. 40.⚖️ A seesaw balances. Kabir (300 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 2
  2. distance from fulcrum
  3. 3
  4. 50
  5. 120
  6. 400
  7. 3
  8. 190
  9. closer to the pivot
  10. 400
  11. 280
  12. turning effects match
  13. 330
  14. 110
  15. 40
  16. 330
  17. 2
  18. 50
  19. 1
  20. 50
  21. 40
  22. 360
  23. 3
  24. 4
  25. 270
  26. 600
  27. 220
  28. 4
  29. 600
  30. 70
  31. 380
  32. 20
  33. 320
  34. 2
  35. 90
  36. 1
  37. 3
  38. 320
  39. 800
  40. 2

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