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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 462 · 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 400 N at 40 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?
  2. 2.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 320 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 420 N at 40 cm from the fulcrum. The effort is 280 N at ? 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 balances when … (a) the fulcrum moves (b) the bar is short (c) both weights are equal (d) turning effects match
  6. 6.⚖️ A lever bar balances. The load is 120 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?
  7. 7.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  8. 8.⚖️ A seesaw balances. Ravi (450 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Arjun (110 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Meena (720 N) sits 1 m from the pivot on one side; Kabir (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is 800 N at 50 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?
  12. 12.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Kabir (160 N) sits 3 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?
  14. 14.⚖️ A lever bar balances. The load is 400 N at 10 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?
  15. 15.⚖️ A seesaw balances. Arjun (640 N) sits 2 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  17. 17.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Asha (150 N) sits 1 m from the pivot on one side; Zoya (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ 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?
  20. 20.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (340 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Ravi (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Kabir (400 N) sits 3 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?
  25. 25.⚖️ A seesaw balances. Ravi (150 N) sits 1 m from the pivot on one side; Zoya (150 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 ? N at 10 cm from the fulcrum. The effort is 10 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Arjun (120 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?
  28. 28.⚖️ A seesaw balances. Meena (120 N) sits ? m from the pivot on one side; Ravi (240 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 20 N at ? cm from the fulcrum. The effort is 30 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Arjun (180 N) sits 4 m from the pivot on one side; Asha (720 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 ? N at 30 cm from the fulcrum. The effort is 210 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Zoya (420 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?
  35. 35.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Kabir (640 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Meena (160 N) sits 3 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?
  37. 37.⚖️ A seesaw balances. Arjun (340 N) sits ? m from the pivot on one side; Kabir (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (110 N) sits 3 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Meena (330 N) sits 2 m from the pivot on one side; Arjun (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 200
  2. 40
  3. 60
  4. 500
  5. turning effects match
  6. 120
  7. distance from fulcrum
  8. 450
  9. 330
  10. 4
  11. 100
  12. 50
  13. 1
  14. 100
  15. 320
  16. closer to the pivot
  17. 100
  18. 1
  19. 250
  20. 340
  21. 3
  22. 140
  23. 400
  24. 300
  25. 1
  26. 40
  27. 480
  28. 2
  29. 30
  30. 560
  31. 40
  32. 1
  33. 700
  34. 3
  35. 4
  36. 1
  37. 2
  38. 330
  39. 3
  40. 180

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