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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 666 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Meena (200 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?
  2. 2.⚖️ A seesaw balances. Ravi (390 N) sits 4 m from the pivot on one side; Zoya (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is 40 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?
  4. 4.⚖️ A seesaw balances. Zoya (480 N) sits ? m from the pivot on one side; Asha (320 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) turning effects match (d) the bar is short
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  9. 9.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  10. 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Kabir (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Zoya (640 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Kabir (330 N) sits 4 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Asha (420 N) sits ? m from the pivot on one side; Arjun (280 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Ravi (420 N) sits 4 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ 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?
  19. 19.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Asha (480 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 360 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 20 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 900 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 700 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?
  26. 26.⚖️ A seesaw balances. Meena (480 N) sits ? m from the pivot on one side; Kabir (320 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Ravi (480 N) sits ? m from the pivot on one side; Arjun (120 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Asha (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 480 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?
  31. 31.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (100 N) sits ? m from the pivot on one side; Asha (100 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Meena (420 N) sits 4 m from the pivot on one side; Asha (560 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 ? N at 40 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ 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?
  37. 37.⚖️ A seesaw balances. Zoya (420 N) sits 4 m from the pivot on one side; Kabir (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 240 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 200
  2. 3
  3. 20
  4. 2
  5. 30
  6. 30
  7. turning effects match
  8. closer to the pivot
  9. distance from fulcrum
  10. 420
  11. 260
  12. 1
  13. 4
  14. 440
  15. 360
  16. 2
  17. 560
  18. 10
  19. 3
  20. 90
  21. 560
  22. 10
  23. 450
  24. 80
  25. 70
  26. 2
  27. 1
  28. 50
  29. 480
  30. 120
  31. 210
  32. 1
  33. 3
  34. 350
  35. 120
  36. 50
  37. 3
  38. 240
  39. 80
  40. 80

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