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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 241 · 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. Ravi (390 N) sits 1 m from the pivot on one side; Arjun (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever bar balances. The load is 80 N at 30 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 480 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Kabir (260 N) sits 4 m from the pivot on one side; Asha (520 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 420 N at 10 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?
  6. 6.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Asha (170 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 lever bar balances. The load is 150 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?
  10. 10.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  11. 11.⚖️ A lever bar balances. The load is 420 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Asha (200 N) sits 1 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?
  13. 13.⚖️ A seesaw balances. Meena (150 N) sits 1 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?
  14. 14.⚖️ A lever bar balances. The load is 100 N at 10 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?
  15. 15.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (680 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Ravi (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (510 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 420 N at 10 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is 100 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?
  20. 20.⚖️ A lever bar balances. The load is 100 N at 20 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?
  21. 21.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  22. 22.⚖️ A seesaw balances. Arjun (600 N) sits 2 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 300 N at 40 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (340 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is 420 N at 30 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 seesaw balances. Arjun (240 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?
  27. 27.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 480 N at 40 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is 320 N at 50 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?
  30. 30.⚖️ A seesaw balances. Arjun (190 N) sits ? m from the pivot on one side; Ravi (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
  32. 32.⚖️ A seesaw balances. Asha (760 N) sits 1 m from the pivot on one side; Meena (190 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 ? N at 10 cm from the fulcrum. The effort is 20 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Kabir (450 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?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 630 N at 10 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?
  38. 38.⚖️ A lever bar balances. The load is 700 N at 10 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?
  39. 39.⚖️ A seesaw balances. Ravi (190 N) sits 4 m from the pivot on one side; Zoya (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is 540 N at 30 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 3
  2. 40
  3. 80
  4. 2
  5. 60
  6. 120
  7. 190
  8. 340
  9. 60
  10. turning effects match
  11. 60
  12. 200
  13. 150
  14. 10
  15. 170
  16. 120
  17. 680
  18. 70
  19. 40
  20. 100
  21. distance from fulcrum
  22. 300
  23. 200
  24. 680
  25. 180
  26. 240
  27. 20
  28. 320
  29. 80
  30. 2
  31. closer to the pivot
  32. 4
  33. 180
  34. 3
  35. 560
  36. 400
  37. 90
  38. 100
  39. 1
  40. 270

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