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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 147 · 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 240 N at 10 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?
  2. 2.⚖️ A seesaw balances. Asha (680 N) sits 2 m from the pivot on one side; Kabir (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) turning effects match (d) the bar is short
  4. 4.⚖️ A seesaw balances. Arjun (520 N) sits 3 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Asha (130 N) sits 2 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?
  8. 8.⚖️ A seesaw balances. Kabir (300 N) sits 4 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Kabir (360 N) sits 1 m from the pivot on one side; Meena (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Zoya (440 N) sits 1 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?
  11. 11.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Ravi (540 N) sits 1 m from the pivot on one side; Kabir (180 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 240 N at 10 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?
  15. 15.⚖️ A lever bar balances. The load is 150 N at 10 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?
  16. 16.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 140 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 10 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  19. 19.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (640 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Meena (110 N) sits ? m from the pivot on one side; Kabir (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 90 N at 50 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?
  24. 24.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 50 N at 70 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; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Ravi (510 N) sits 4 m from the pivot on one side; Arjun (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Zoya (240 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 600 N at 20 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?
  29. 29.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) farther from the pivot (d) anywhere
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (240 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 400 N at ? cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (510 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Ravi (200 N) sits 1 m from the pivot on one side; Meena (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Ravi (220 N) sits ? m from the pivot on one side; Arjun (440 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 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 200 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?
  39. 39.⚖️ A seesaw balances. Kabir (640 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 30
  2. 4
  3. turning effects match
  4. 390
  5. 600
  6. 200
  7. 260
  8. 400
  9. 2
  10. 110
  11. 30
  12. 40
  13. 3
  14. 80
  15. 50
  16. 20
  17. 10
  18. distance from fulcrum
  19. 640
  20. 30
  21. 320
  22. 4
  23. 30
  24. 10
  25. 4
  26. 3
  27. 2
  28. 60
  29. closer to the pivot
  30. 240
  31. 20
  32. 510
  33. 20
  34. 1
  35. 20
  36. 4
  37. 320
  38. 40
  39. 640
  40. 300

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