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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 512 · 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 100 N at 40 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  3. 3.⚖️ A lever bar balances. The load is 140 N at 30 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?
  4. 4.⚖️ A seesaw balances. Ravi (140 N) sits 4 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (440 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ 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?
  7. 7.⚖️ A lever bar balances. The load is 30 N at 50 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?
  8. 8.⚖️ A lever bar balances. The load is 630 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (640 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Kabir (720 N) sits 1 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?
  11. 11.⚖️ A lever bar balances. The load is 70 N at 50 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Zoya (130 N) sits ? m from the pivot on one side; Kabir (130 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) anywhere (c) on the pivot (d) farther from the pivot
  15. 15.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Meena (130 N) sits 1 m from the pivot on one side; Zoya (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  18. 18.⚖️ A seesaw balances. Asha (520 N) sits 1 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?
  19. 19.⚖️ A seesaw balances. Asha (140 N) sits 3 m from the pivot on one side; Kabir (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is 160 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (680 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Ravi (200 N) sits 1 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?
  26. 26.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 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 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?
  28. 28.⚖️ A lever bar balances. The load is 400 N at 30 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?
  29. 29.⚖️ A seesaw balances. Zoya (220 N) sits 1 m from the pivot on one side; Arjun (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 160 N at 30 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?
  31. 31.⚖️ A seesaw balances. Meena (330 N) sits 2 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Asha (540 N) sits ? m from the pivot on one side; Arjun (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Meena (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Meena (280 N) sits 2 m from the pivot on one side; Ravi (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (320 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Meena (150 N) sits 3 m from the pivot on one side; Kabir (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Ravi (440 N) sits 2 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Ravi (680 N) sits 1 m from the pivot on one side; Arjun (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Kabir (320 N) sits ? m from the pivot on one side; Ravi (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 100
  2. turning effects match
  3. 210
  4. 560
  5. 220
  6. 50
  7. 50
  8. 90
  9. 480
  10. 180
  11. 50
  12. 270
  13. 1
  14. closer to the pivot
  15. 300
  16. 1
  17. distance from fulcrum
  18. 130
  19. 1
  20. 170
  21. 10
  22. 400
  23. 280
  24. 170
  25. 200
  26. 10
  27. 350
  28. 100
  29. 2
  30. 40
  31. 220
  32. 450
  33. 2
  34. 1
  35. 2
  36. 640
  37. 1
  38. 220
  39. 4
  40. 2

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