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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 687 · 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.

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  1. 1.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
  2. 2.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ 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?
  5. 5.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  6. 6.⚖️ A lever bar balances. The load is 40 N at 10 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?
  7. 7.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (680 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (600 N) sits 3 m from the pivot on one side; Arjun (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 3 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 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Arjun (720 N) sits ? m from the pivot on one side; Kabir (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Asha (100 N) sits ? m from the pivot on one side; Ravi (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ 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?
  15. 15.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Arjun (390 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  17. 17.⚖️ A seesaw balances. Zoya (420 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?
  18. 18.⚖️ A lever bar balances. The load is 180 N at 30 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?
  19. 19.⚖️ A seesaw balances. Meena (120 N) sits ? m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Arjun (510 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Zoya (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Asha (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 50 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 seesaw balances. Ravi (200 N) sits 1 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A lever bar balances. The load is 20 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Zoya (320 N) sits ? m from the pivot on one side; Meena (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (300 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 700 N at 40 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?
  32. 32.⚖️ A seesaw balances. Asha (110 N) sits 2 m from the pivot on one side; Meena (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Asha (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 630 N at 10 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?
  36. 36.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Asha (330 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?
  38. 38.⚖️ A lever bar balances. The load is 210 N at 20 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?
  39. 39.⚖️ A seesaw balances. Kabir (120 N) sits ? m from the pivot on one side; Ravi (480 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ 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?

Answer key

  1. distance from fulcrum
  2. 180
  3. 100
  4. 270
  5. turning effects match
  6. 20
  7. 40
  8. 340
  9. 4
  10. 540
  11. 90
  12. 2
  13. 2
  14. 90
  15. 3
  16. closer to the pivot
  17. 560
  18. 180
  19. 3
  20. 3
  21. 100
  22. 1
  23. 20
  24. 1
  25. 360
  26. 50
  27. 100
  28. 20
  29. 2
  30. 300
  31. 400
  32. 1
  33. 1
  34. 420
  35. 90
  36. 300
  37. 440
  38. 140
  39. 4
  40. 450

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