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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 695 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Ravi (200 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?
  2. 2.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Asha (420 N) sits 2 m from the pivot on one side; Kabir (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Arjun (380 N) sits 3 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?
  5. 5.⚖️ A seesaw balances. Asha (380 N) sits 4 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?
  6. 6.⚖️ A seesaw balances. Arjun (800 N) sits 4 m from the pivot on one side; Ravi (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 150 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever bar balances. The load is ? N at 40 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?
  12. 12.⚖️ A seesaw balances. Kabir (400 N) sits 3 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?
  13. 13.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Zoya (280 N) sits 4 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?
  15. 15.⚖️ A lever bar balances. The load is 900 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) colour of bar (d) distance from fulcrum
  17. 17.⚖️ A seesaw balances. Zoya (640 N) sits ? m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 270 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?
  20. 20.⚖️ A seesaw balances. Asha (280 N) sits ? m from the pivot on one side; Ravi (140 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  22. 22.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 280 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (140 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Meena (360 N) sits 3 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?
  25. 25.⚖️ A lever bar balances. The load is 600 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?
  26. 26.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Asha (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Ravi (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Ravi (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Kabir (570 N) sits 3 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?
  31. 31.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Kabir (720 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 300 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Meena (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is 60 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?
  37. 37.⚖️ A lever bar balances. The load is 70 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 500 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Zoya (300 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 800
  2. 800
  3. 3
  4. 570
  5. 760
  6. 4
  7. 200
  8. 30
  9. turning effects match
  10. 720
  11. 100
  12. 600
  13. 420
  14. 560
  15. 90
  16. distance from fulcrum
  17. 3
  18. 170
  19. 30
  20. 1
  21. closer to the pivot
  22. 40
  23. 560
  24. 360
  25. 300
  26. 2
  27. 3
  28. 2
  29. 270
  30. 570
  31. 20
  32. 4
  33. 30
  34. 240
  35. 600
  36. 30
  37. 70
  38. 360
  39. 50
  40. 3

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