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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 72 · 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 balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  2. 2.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) anywhere (d) on the pivot
  4. 4.⚖️ A seesaw balances. Meena (680 N) sits 2 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever bar balances. The load is 280 N at 10 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?
  6. 6.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  8. 8.⚖️ A lever bar balances. The load is 100 N at 20 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?
  9. 9.⚖️ A seesaw balances. Kabir (280 N) sits 2 m from the pivot on one side; Meena (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (570 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Arjun (800 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?
  12. 12.⚖️ A lever bar balances. The load is 180 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Meena (680 N) sits 1 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?
  14. 14.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is 120 N at 40 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?
  18. 18.⚖️ A lever bar balances. The load is 630 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?
  19. 19.⚖️ A lever bar balances. The load is 180 N at 10 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (110 N) sits ? m from the pivot on one side; Asha (330 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Asha (720 N) sits 3 m from the pivot on one side; Ravi (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 1000 N at ? cm from the fulcrum. The effort is 300 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 100 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?
  24. 24.⚖️ A lever bar balances. The load is 200 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?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 120 N at 30 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is 640 N at 30 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?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (760 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 210 N at 20 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Arjun (260 N) sits ? m from the pivot on one side; Zoya (390 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Zoya (680 N) sits ? m from the pivot on one side; Arjun (680 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Ravi (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (640 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Zoya (720 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 30 N at 40 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?
  37. 37.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Zoya (220 N) sits ? m from the pivot on one side; Arjun (220 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. turning effects match
  2. 10
  3. closer to the pivot
  4. 340
  5. 40
  6. 60
  7. distance from fulcrum
  8. 100
  9. 2
  10. 760
  11. 600
  12. 30
  13. 170
  14. 360
  15. 240
  16. 10
  17. 40
  18. 70
  19. 30
  20. 3
  21. 4
  22. 30
  23. 100
  24. 160
  25. 680
  26. 240
  27. 60
  28. 80
  29. 380
  30. 70
  31. 3
  32. 4
  33. 400
  34. 320
  35. 360
  36. 40
  37. 400
  38. 280
  39. 4
  40. 2

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