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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 115 · 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 (220 N) sits 2 m from the pivot on one side; Arjun (220 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 100 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?
  3. 3.⚖️ A seesaw balances. Asha (300 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?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  5. 5.⚖️ A lever bar balances. The load is 630 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?
  6. 6.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Zoya (440 N) sits 1 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?
  9. 9.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is 420 N at 20 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?
  11. 11.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Meena (150 N) sits 3 m from the pivot on one side; Asha (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) both weights are equal (d) turning effects match
  16. 16.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 280 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 140 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?
  19. 19.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Arjun (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A lever bar balances. The load is 80 N at 20 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?
  22. 22.⚖️ A lever bar balances. The load is 140 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?
  23. 23.⚖️ A seesaw balances. Ravi (100 N) sits ? m from the pivot on one side; Kabir (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Arjun (320 N) sits ? m from the pivot on one side; Zoya (640 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Kabir (680 N) sits 3 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is 480 N at 20 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 480 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?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (570 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 400 N at 20 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 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (220 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 ? N at 40 cm from the fulcrum. The effort is 360 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Kabir (340 N) sits 4 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?
  39. 39.⚖️ A lever bar balances. The load is 200 N at 20 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?
  40. 40.⚖️ A seesaw balances. Ravi (520 N) sits 1 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 2
  2. 20
  3. 2
  4. closer to the pivot
  5. 70
  6. 320
  7. 120
  8. 110
  9. 40
  10. 120
  11. 120
  12. 260
  13. 1
  14. 30
  15. turning effects match
  16. 40
  17. 40
  18. 140
  19. 1
  20. 800
  21. 20
  22. 70
  23. 1
  24. 180
  25. 4
  26. 510
  27. 60
  28. 160
  29. 80
  30. 380
  31. 40
  32. 900
  33. 130
  34. 50
  35. 540
  36. 220
  37. 450
  38. 680
  39. 100
  40. 130

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