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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 587 · 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.⚖️ A lever bar balances. The load is 60 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?
  2. 2.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  4. 4.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 350 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A seesaw balances. Zoya (380 N) sits 1 m from the pivot on one side; Arjun (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  7. 7.⚖️ A lever bar balances. The load is 630 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?
  8. 8.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  9. 9.⚖️ A lever bar balances. The load is 500 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Arjun (200 N) sits 3 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (220 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Kabir (400 N) sits 3 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Arjun (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 810 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 120 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (110 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Arjun (100 N) sits 1 m from the pivot on one side; Meena (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Asha (680 N) sits 2 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?
  21. 21.⚖️ A seesaw balances. Kabir (330 N) sits 3 m from the pivot on one side; Arjun (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 240 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Kabir (540 N) sits 2 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?
  26. 26.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (450 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (130 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (220 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (340 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Kabir (480 N) sits 4 m from the pivot on one side; Ravi (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 140 N at 20 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?
  34. 34.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Meena (640 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Meena (200 N) sits 3 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Asha (200 N) sits 1 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Asha (280 N) sits 1 m from the pivot on one side; Arjun (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Meena (200 N) sits 1 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?
  40. 40.⚖️ A seesaw balances. Arjun (? 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?

Answer key

  1. 30
  2. 20
  3. turning effects match
  4. 50
  5. 2
  6. closer to the pivot
  7. 450
  8. distance from fulcrum
  9. 50
  10. 270
  11. 600
  12. 2
  13. 4
  14. 4
  15. 180
  16. 40
  17. 60
  18. 440
  19. 1
  20. 340
  21. 3
  22. 20
  23. 40
  24. 30
  25. 3
  26. 300
  27. 300
  28. 130
  29. 150
  30. 440
  31. 510
  32. 4
  33. 40
  34. 640
  35. 2
  36. 10
  37. 100
  38. 2
  39. 200
  40. 170

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