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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 165 · 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 balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  2. 2.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A lever bar balances. The load is 450 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?
  5. 5.⚖️ A seesaw balances. Asha (300 N) sits ? m from the pivot on one side; Arjun (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Arjun (? 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?
  8. 8.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 30 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  11. 11.⚖️ A seesaw balances. Asha (720 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?
  12. 12.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  13. 13.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Asha (380 N) sits 2 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?
  15. 15.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (420 N) sits 3 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?
  17. 17.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is 400 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?
  19. 19.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Asha (200 N) sits 3 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 140 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Arjun (720 N) sits 4 m from the pivot on one side; Zoya (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 450 N at 50 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?
  25. 25.⚖️ A seesaw balances. Arjun (200 N) sits 3 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Zoya (420 N) sits 4 m from the pivot on one side; Arjun (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Ravi (640 N) sits 2 m from the pivot on one side; Kabir (320 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 60 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?
  30. 30.⚖️ A seesaw balances. Ravi (100 N) sits 4 m from the pivot on one side; Zoya (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Ravi (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (150 N) sits 4 m from the pivot on one side; Kabir (600 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 90 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?
  34. 34.⚖️ A seesaw balances. Kabir (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?
  35. 35.⚖️ A lever bar balances. The load is 280 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?
  36. 36.⚖️ A seesaw balances. Ravi (330 N) sits 1 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?
  37. 37.⚖️ A lever bar balances. The load is 540 N at 40 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?
  38. 38.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (400 N) sits 4 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?
  40. 40.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Arjun (160 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. turning effects match
  2. 800
  3. 200
  4. 90
  5. 1
  6. 170
  7. 480
  8. 180
  9. 10
  10. closer to the pivot
  11. 540
  12. distance from fulcrum
  13. 20
  14. 380
  15. 100
  16. 420
  17. 10
  18. 80
  19. 200
  20. 480
  21. 600
  22. 20
  23. 4
  24. 250
  25. 300
  26. 500
  27. 3
  28. 4
  29. 150
  30. 1
  31. 680
  32. 1
  33. 150
  34. 2
  35. 80
  36. 110
  37. 240
  38. 160
  39. 800
  40. 1

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