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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 516 · 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 120 N at 40 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?
  2. 2.⚖️ A seesaw balances. Ravi (360 N) sits 3 m from the pivot on one side; Meena (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is 210 N at 30 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?
  4. 4.⚖️ 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?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  6. 6.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (300 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 200 N at 30 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ 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?
  11. 11.⚖️ A lever bar balances. The load is 80 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?
  12. 12.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 20 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Arjun (260 N) sits 3 m from the pivot on one side; Zoya (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  19. 19.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 10 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 70 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Asha (420 N) sits 2 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Kabir (390 N) sits ? m from the pivot on one side; Zoya (130 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 490 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?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Asha (140 N) sits 2 m from the pivot on one side; Zoya (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 150 N at 10 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?
  28. 28.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  29. 29.⚖️ A seesaw balances. Asha (120 N) sits 4 m from the pivot on one side; Zoya (480 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 560 N at ? cm from the fulcrum. The effort is 160 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Ravi (160 N) sits 4 m from the pivot on one side; Asha (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (400 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?
  33. 33.⚖️ A seesaw balances. Arjun (200 N) sits 1 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?
  34. 34.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Asha (450 N) sits ? m from the pivot on one side; Zoya (150 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 700 N at 30 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?
  37. 37.⚖️ A seesaw balances. Kabir (480 N) sits 1 m from the pivot on one side; Arjun (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Meena (360 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is 40 N at 50 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?

Answer key

  1. 20
  2. 3
  3. 90
  4. 540
  5. closer to the pivot
  6. 480
  7. 360
  8. 150
  9. 60
  10. 50
  11. 20
  12. 30
  13. 520
  14. 240
  15. 10
  16. 30
  17. 2
  18. turning effects match
  19. 10
  20. 10
  21. 10
  22. 280
  23. 1
  24. 350
  25. 150
  26. 1
  27. 50
  28. distance from fulcrum
  29. 1
  30. 20
  31. 1
  32. 200
  33. 100
  34. 50
  35. 1
  36. 300
  37. 4
  38. 3
  39. 280
  40. 20

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