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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 735 · 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 90 N at ? cm from the fulcrum. The effort is 150 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 20 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?
  4. 4.⚖️ A seesaw balances. Kabir (480 N) sits 2 m from the pivot on one side; Asha (320 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 60 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?
  6. 6.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is ? N at 20 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 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?
  11. 11.⚖️ 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?
  12. 12.⚖️ A seesaw balances. Zoya (600 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?
  13. 13.⚖️ A lever bar balances. The load is 800 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is ? N at 10 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Kabir (640 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 200 N at 10 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?
  19. 19.⚖️ A lever bar balances. The load is 350 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) anywhere (d) on the pivot
  21. 21.⚖️ A seesaw balances. Meena (360 N) sits ? m from the pivot on one side; Asha (240 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Asha (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (340 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (450 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A seesaw balances. Zoya (420 N) sits 4 m from the pivot on one side; Ravi (560 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 630 N at 20 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?
  28. 28.⚖️ A lever bar balances. The load is 360 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?
  29. 29.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  30. 30.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  31. 31.⚖️ A lever bar balances. The load is 450 N at 20 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?
  32. 32.⚖️ A lever bar balances. The load is 480 N at 20 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?
  33. 33.⚖️ 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?
  34. 34.⚖️ A seesaw balances. Kabir (320 N) sits ? m from the pivot on one side; Arjun (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Meena (400 N) sits 3 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (450 N) sits 1 m from the pivot on one side; Zoya (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Zoya (560 N) sits 1 m from the pivot on one side; Ravi (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Meena (140 N) sits 1 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Meena (520 N) sits 4 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?

Answer key

  1. 50
  2. 10
  3. 900
  4. 3
  5. 20
  6. 200
  7. 50
  8. 810
  9. 480
  10. 60
  11. 170
  12. 600
  13. 100
  14. 30
  15. 560
  16. 240
  17. 4
  18. 40
  19. 50
  20. closer to the pivot
  21. 2
  22. 220
  23. 340
  24. 150
  25. 300
  26. 3
  27. 70
  28. 40
  29. distance from fulcrum
  30. turning effects match
  31. 50
  32. 160
  33. 30
  34. 3
  35. 4
  36. 3
  37. 180
  38. 4
  39. 140
  40. 520

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