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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 117 · 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 ? N at 30 cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Ravi (360 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?
  4. 4.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  5. 5.⚖️ A lever bar balances. The load is 160 N at 50 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Asha (400 N) sits 1 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?
  7. 7.⚖️ A seesaw balances. Ravi (100 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?
  8. 8.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Meena (100 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 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 ? N at 30 cm from the fulcrum. The effort is 270 N at 60 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) farther from the pivot (b) closer to the pivot (c) on the pivot (d) anywhere
  13. 13.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Ravi (340 N) sits 4 m from the pivot on one side; Kabir (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Ravi (140 N) sits 3 m from the pivot on one side; Arjun (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Asha (130 N) sits ? m from the pivot on one side; Arjun (130 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (140 N) sits 2 m from the pivot on one side; Asha (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Zoya (450 N) sits 3 m from the pivot on one side; Ravi (450 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 300 N at ? cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 120 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?
  22. 22.⚖️ A lever bar balances. The load is 80 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?
  23. 23.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Asha (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Asha (800 N) sits 4 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Zoya (760 N) sits 1 m from the pivot on one side; Asha (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Kabir (720 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 450 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (300 N) sits 1 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (130 N) sits ? m from the pivot on one side; Zoya (520 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Meena (260 N) sits 4 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?
  33. 33.⚖️ A lever bar balances. The load is 90 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Meena (110 N) sits 4 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 150 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?
  36. 36.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 270 N at 40 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?
  38. 38.⚖️ A seesaw balances. Ravi (140 N) sits ? m from the pivot on one side; Meena (140 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Ravi (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is 70 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 40
  2. 180
  3. 720
  4. turning effects match
  5. 100
  6. 2
  7. 1
  8. 1
  9. 150
  10. 100
  11. 540
  12. closer to the pivot
  13. 40
  14. 2
  15. 1
  16. 1
  17. 340
  18. 1
  19. 3
  20. 10
  21. 50
  22. 160
  23. 4
  24. 800
  25. 450
  26. 680
  27. 4
  28. 4
  29. 90
  30. 150
  31. 4
  32. 520
  33. 90
  34. 440
  35. 250
  36. 60
  37. 360
  38. 1
  39. 2
  40. 70

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