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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 559 · 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.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  2. 2.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  3. 3.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 200 N at 50 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?
  5. 5.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Kabir (440 N) sits 3 m from the pivot on one side; Zoya (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Asha (330 N) sits 4 m from the pivot on one side; Meena (? N) sits 3 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 20 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?
  9. 9.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 320 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A seesaw balances. Zoya (140 N) sits 1 m from the pivot on one side; Ravi (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Ravi (360 N) sits 2 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Kabir (160 N) sits 4 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  14. 14.⚖️ A seesaw balances. Arjun (180 N) sits 1 m from the pivot on one side; Ravi (180 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 60 N at ? cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Asha (450 N) sits ? m from the pivot on one side; Kabir (450 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Zoya (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Arjun (110 N) sits 1 m from the pivot on one side; Asha (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Meena (260 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?
  22. 22.⚖️ A lever bar balances. The load is ? N at 10 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?
  23. 23.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Meena (130 N) sits 1 m from the pivot on one side; Asha (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is 90 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Zoya (380 N) sits 1 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?
  29. 29.⚖️ A seesaw balances. Asha (110 N) sits 4 m from the pivot on one side; Ravi (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Meena (240 N) sits 4 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A lever bar balances. The load is 240 N at 30 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?
  33. 33.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 50 N at 30 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Meena (360 N) sits 2 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Arjun (420 N) sits 1 m from the pivot on one side; Zoya (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 1000 N at ? cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 60 N at 50 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?

Answer key

  1. distance from fulcrum
  2. turning effects match
  3. 40
  4. 500
  5. 10
  6. 4
  7. 440
  8. 50
  9. 40
  10. 1
  11. 2
  12. 640
  13. closer to the pivot
  14. 1
  15. 30
  16. 3
  17. 1
  18. 10
  19. 1
  20. 560
  21. 390
  22. 160
  23. 130
  24. 4
  25. 1
  26. 90
  27. 90
  28. 190
  29. 1
  30. 2
  31. 400
  32. 90
  33. 10
  34. 30
  35. 270
  36. 120
  37. 2
  38. 3
  39. 30
  40. 30

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