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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 327 · 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 50 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Meena (200 N) sits 4 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?
  3. 3.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 30 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Meena (540 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever bar balances. The load is 70 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (220 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
  9. 9.⚖️ A seesaw balances. Arjun (120 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?
  10. 10.⚖️ A lever bar balances. The load is 500 N at 50 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?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ 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?
  13. 13.⚖️ A lever bar balances. The load is 270 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?
  14. 14.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Asha (120 N) sits 1 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 20 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?
  17. 17.⚖️ A seesaw balances. Asha (120 N) sits 3 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?
  18. 18.⚖️ A lever bar balances. The load is 90 N at 20 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?
  19. 19.⚖️ A lever bar balances. The load is 60 N at 30 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 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?
  22. 22.⚖️ A lever bar balances. The load is 140 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ 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?
  24. 24.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Arjun (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (160 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?
  26. 26.⚖️ A seesaw balances. Zoya (100 N) sits 2 m from the pivot on one side; Meena (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Arjun (140 N) sits ? m from the pivot on one side; Ravi (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Meena (150 N) sits 1 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?
  29. 29.⚖️ A seesaw balances. Ravi (540 N) sits 3 m from the pivot on one side; Kabir (540 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 140 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?
  31. 31.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (520 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Meena (130 N) sits ? m from the pivot on one side; Arjun (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Kabir (390 N) sits 3 m from the pivot on one side; Ravi (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 320 N at 30 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ 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?
  36. 36.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Asha (400 N) sits 2 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Meena (560 N) sits ? m from the pivot on one side; Ravi (420 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Kabir (560 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 90 N at 10 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?

Answer key

  1. 20
  2. 400
  3. 10
  4. 3
  5. 70
  6. distance from fulcrum
  7. 110
  8. closer to the pivot
  9. 360
  10. 250
  11. 240
  12. 500
  13. 60
  14. 600
  15. 120
  16. 180
  17. 1
  18. 90
  19. 20
  20. turning effects match
  21. 700
  22. 20
  23. 90
  24. 3
  25. 160
  26. 1
  27. 2
  28. 150
  29. 3
  30. 350
  31. 390
  32. 2
  33. 3
  34. 80
  35. 100
  36. 150
  37. 200
  38. 3
  39. 560
  40. 10

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