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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 446 · 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 lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 10 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 50 N at 20 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?
  3. 3.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Meena (440 N) sits 3 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?
  5. 5.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (130 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Meena (390 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  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.⚖️ A lever bar balances. The load is 60 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) the bar is short (d) both weights are equal
  11. 11.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (280 N) sits 2 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?
  13. 13.⚖️ A lever bar balances. The load is 360 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Kabir (110 N) sits 2 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?
  15. 15.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 100 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 30 cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Kabir (400 N) sits 1 m from the pivot on one side; Asha (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Ravi (260 N) sits 2 m from the pivot on one side; Arjun (260 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 240 N at 10 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Ravi (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Asha (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?
  23. 23.⚖️ A seesaw balances. Meena (570 N) sits 1 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?
  24. 24.⚖️ A seesaw balances. Kabir (180 N) sits ? m from the pivot on one side; Meena (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Arjun (200 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Kabir (130 N) sits 1 m from the pivot on one side; Zoya (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 280 N at 20 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?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Asha (100 N) sits 4 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Asha (640 N) sits 3 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?
  32. 32.⚖️ A lever bar balances. The load is 180 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Kabir (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?
  34. 34.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  35. 35.⚖️ A seesaw balances. Arjun (340 N) sits ? m from the pivot on one side; Kabir (510 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 500 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Arjun (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is ? N at 20 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?

Answer key

  1. 10
  2. 20
  3. 360
  4. 330
  5. 390
  6. 120
  7. 260
  8. closer to the pivot
  9. 60
  10. turning effects match
  11. 900
  12. 280
  13. 40
  14. 220
  15. 900
  16. 320
  17. 4
  18. 2
  19. 30
  20. 490
  21. 1
  22. 600
  23. 190
  24. 1
  25. 140
  26. 1
  27. 1
  28. 140
  29. 140
  30. 1
  31. 480
  32. 20
  33. 400
  34. distance from fulcrum
  35. 3
  36. 420
  37. 50
  38. 4
  39. 510
  40. 300

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