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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 166 · 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.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  3. 3.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 100 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?
  6. 6.⚖️ A lever bar balances. The load is 900 N at 10 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?
  7. 7.⚖️ A lever bar balances. The load is 320 N at 20 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is 80 N at 10 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Asha (? N) sits 1 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?
  10. 10.⚖️ A seesaw balances. Arjun (380 N) sits 4 m from the pivot on one side; Kabir (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 3 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 10 cm from the fulcrum. The effort is 90 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (380 N) sits ? m from the pivot on one side; Ravi (380 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 250 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Zoya (400 N) sits 1 m from the pivot on one side; Kabir (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Asha (680 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Meena (100 N) sits 1 m from the pivot on one side; Arjun (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  21. 21.⚖️ A lever bar balances. The load is 80 N at 50 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is 600 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?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (570 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Zoya (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Ravi (140 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Asha (160 N) sits ? m from the pivot on one side; Ravi (320 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 720 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Zoya (300 N) sits ? m from the pivot on one side; Meena (300 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Ravi (110 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?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (130 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ 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?
  35. 35.⚖️ A seesaw balances. Meena (240 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?
  36. 36.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Ravi (240 N) sits 1 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?
  38. 38.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Zoya (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. distance from fulcrum
  2. closer to the pivot
  3. 40
  4. 30
  5. 50
  6. 100
  7. 160
  8. 20
  9. 800
  10. 2
  11. 330
  12. 630
  13. 2
  14. 50
  15. 2
  16. 270
  17. 340
  18. 400
  19. 1
  20. turning effects match
  21. 20
  22. 60
  23. 190
  24. 2
  25. 140
  26. 2
  27. 80
  28. 3
  29. 630
  30. 300
  31. 1
  32. 390
  33. 480
  34. 10
  35. 480
  36. 10
  37. 120
  38. 40
  39. 20
  40. 2

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