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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 328 · 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. Meena (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 150 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  4. 4.⚖️ A seesaw balances. Asha (450 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?
  5. 5.⚖️ A seesaw balances. Arjun (400 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?
  6. 6.⚖️ A lever bar balances. The load is 320 N at 30 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?
  7. 7.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (320 N) sits 1 m from the pivot on one side; Ravi (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 500 N at 40 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?
  11. 11.⚖️ A lever bar balances. The load is 630 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  13. 13.⚖️ A seesaw balances. Arjun (400 N) sits ? m from the pivot on one side; Meena (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 1000 N at ? cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
  16. 16.⚖️ A seesaw balances. Arjun (440 N) sits 4 m from the pivot on one side; Kabir (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Arjun (450 N) sits 2 m from the pivot on one side; Meena (300 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 420 N at ? cm from the fulcrum. The effort is 140 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Kabir (320 N) sits ? m from the pivot on one side; Meena (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Zoya (600 N) sits ? m from the pivot on one side; Arjun (800 N) sits 3 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 40 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (180 N) sits 1 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?
  24. 24.⚖️ A lever bar balances. The load is 300 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?
  25. 25.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Zoya (760 N) sits 1 m from the pivot on one side; Arjun (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Meena (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Ravi (440 N) sits 2 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?
  29. 29.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (450 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Meena (480 N) sits 2 m from the pivot on one side; Kabir (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 240 N at 50 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?
  32. 32.⚖️ A seesaw balances. Zoya (360 N) sits 4 m from the pivot on one side; Arjun (720 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 810 N at 30 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 320 N at 10 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is 810 N at 20 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?
  37. 37.⚖️ A lever bar balances. The load is 720 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?
  38. 38.⚖️ A seesaw balances. Arjun (330 N) sits ? m from the pivot on one side; Asha (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 150 N at 50 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?
  40. 40.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 300
  2. 30
  3. distance from fulcrum
  4. 600
  5. 200
  6. 240
  7. 700
  8. 520
  9. 2
  10. 200
  11. 140
  12. closer to the pivot
  13. 2
  14. 10
  15. turning effects match
  16. 4
  17. 160
  18. 3
  19. 20
  20. 3
  21. 4
  22. 150
  23. 180
  24. 50
  25. 30
  26. 4
  27. 4
  28. 220
  29. 300
  30. 4
  31. 200
  32. 2
  33. 270
  34. 80
  35. 180
  36. 90
  37. 80
  38. 4
  39. 150
  40. 800

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