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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 661 · 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) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
  2. 2.⚖️ A lever bar balances. The load is 300 N at 10 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A lever bar balances. The load is 80 N at 20 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?
  4. 4.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  5. 5.⚖️ A lever bar balances. The load is 100 N at 40 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 280 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  8. 8.⚖️ A seesaw balances. Zoya (480 N) sits 4 m from the pivot on one side; Ravi (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is 240 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?
  10. 10.⚖️ A lever bar balances. The load is 700 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 lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Meena (100 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (390 N) sits 3 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 10 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Ravi (340 N) sits 2 m from the pivot on one side; Kabir (? N) sits 2 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 30 cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Zoya (600 N) sits ? m from the pivot on one side; Asha (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 300 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?
  20. 20.⚖️ A seesaw balances. Kabir (440 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Asha (220 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?
  23. 23.⚖️ A seesaw balances. Ravi (440 N) sits 1 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?
  24. 24.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 350 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 280 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (440 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (680 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 720 N at 30 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?
  31. 31.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Zoya (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Meena (760 N) sits 4 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 240 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?
  35. 35.⚖️ 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?
  36. 36.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Ravi (140 N) sits 1 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?
  40. 40.⚖️ A seesaw balances. Arjun (600 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. distance from fulcrum
  2. 60
  3. 20
  4. turning effects match
  5. 80
  6. 40
  7. closer to the pivot
  8. 3
  9. 80
  10. 350
  11. 40
  12. 1
  13. 390
  14. 60
  15. 340
  16. 320
  17. 2
  18. 300
  19. 100
  20. 330
  21. 560
  22. 110
  23. 110
  24. 50
  25. 40
  26. 110
  27. 50
  28. 170
  29. 90
  30. 240
  31. 3
  32. 900
  33. 760
  34. 120
  35. 40
  36. 360
  37. 20
  38. 60
  39. 140
  40. 4

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