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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 413 · 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. Zoya (510 N) sits ? m from the pivot on one side; Kabir (510 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Ravi (390 N) sits ? m from the pivot on one side; Arjun (390 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Arjun (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?
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  6. 6.⚖️ A seesaw balances. Kabir (100 N) sits ? m from the pivot on one side; Zoya (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Ravi (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?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
  9. 9.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 300 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Kabir (400 N) sits 2 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ 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?
  13. 13.⚖️ A seesaw balances. Zoya (400 N) sits 3 m from the pivot on one side; Ravi (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Asha (380 N) sits 1 m from the pivot on one side; Kabir (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 450 N at 10 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?
  16. 16.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 10 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 500 N at 50 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A seesaw balances. Arjun (300 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 seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 360 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Ravi (180 N) sits ? m from the pivot on one side; Asha (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Meena (160 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 180 N at 30 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?
  26. 26.⚖️ A lever bar balances. The load is 30 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?
  27. 27.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Arjun (640 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Arjun (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Arjun (560 N) sits 1 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?
  30. 30.⚖️ A lever bar balances. The load is 450 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Asha (160 N) sits ? m from the pivot on one side; Meena (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Zoya (280 N) sits ? m from the pivot on one side; Arjun (140 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ 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?
  35. 35.⚖️ A lever bar balances. The load is 400 N at 20 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 150 N at 10 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?
  37. 37.⚖️ A seesaw balances. Zoya (440 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 300 N at 10 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?
  39. 39.⚖️ A lever bar balances. The load is 300 N at 40 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?
  40. 40.⚖️ A seesaw balances. Ravi (300 N) sits 4 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?

Answer key

  1. 3
  2. 3
  3. 170
  4. 4
  5. turning effects match
  6. 1
  7. 300
  8. closer to the pivot
  9. 200
  10. 60
  11. 200
  12. 10
  13. 2
  14. 2
  15. 90
  16. 10
  17. 250
  18. 80
  19. 2
  20. 200
  21. 40
  22. 1
  23. 640
  24. 350
  25. 60
  26. 40
  27. 4
  28. 3
  29. 140
  30. 50
  31. 350
  32. 4
  33. 1
  34. 4
  35. 50
  36. 50
  37. 4
  38. 60
  39. 100
  40. 600

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