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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 765 · 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 lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Meena (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Arjun (360 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Arjun (400 N) sits 3 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Arjun (170 N) sits 2 m from the pivot on one side; Zoya (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (440 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 180 N at 50 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?
  11. 11.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  12. 12.⚖️ A lever bar balances. The load is 50 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?
  13. 13.⚖️ A seesaw balances. Kabir (320 N) sits ? m from the pivot on one side; Ravi (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 210 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?
  15. 15.⚖️ A lever bar balances. The load is 210 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Asha (510 N) sits 3 m from the pivot on one side; Kabir (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Arjun (570 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (640 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Meena (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  24. 24.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Asha (400 N) sits 4 m from the pivot on one side; Kabir (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (170 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 350 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 500 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 10 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Asha (760 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 480 N at 10 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 100 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?
  34. 34.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (240 N) sits 2 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?
  36. 36.⚖️ 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 20 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?
  38. 38.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Arjun (? 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?
  40. 40.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot

Answer key

  1. 80
  2. 2
  3. 3
  4. 220
  5. 50
  6. 2
  7. 20
  8. 1
  9. 220
  10. 30
  11. distance from fulcrum
  12. 50
  13. 1
  14. 70
  15. 30
  16. 540
  17. 3
  18. 30
  19. 300
  20. 190
  21. 640
  22. 1
  23. turning effects match
  24. 40
  25. 2
  26. 340
  27. 50
  28. 280
  29. 50
  30. 10
  31. 760
  32. 80
  33. 40
  34. 480
  35. 240
  36. 80
  37. 80
  38. 50
  39. 300
  40. closer to the pivot

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