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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 93 · 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.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  2. 2.⚖️ A lever bar balances. The load is 210 N at 20 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?
  3. 3.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
  4. 4.⚖️ A lever bar balances. The load is 90 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?
  5. 5.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Zoya (340 N) sits 1 m from the pivot on one side; Meena (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is 500 N at 20 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?
  8. 8.⚖️ A lever bar balances. The load is 180 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?
  9. 9.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever bar balances. The load is 320 N at 30 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?
  12. 12.⚖️ A lever bar balances. The load is 40 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?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 140 N at 30 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?
  16. 16.⚖️ A seesaw balances. Ravi (140 N) sits ? m from the pivot on one side; Zoya (560 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (480 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 720 N at 10 cm from the fulcrum. The effort is 80 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 200 N at 20 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?
  20. 20.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  21. 21.⚖️ A lever bar balances. The load is 350 N at 50 cm from the fulcrum. The effort is 250 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 ? N at 10 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ 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?
  26. 26.⚖️ A seesaw balances. Asha (320 N) sits ? m from the pivot on one side; Ravi (320 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 270 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?
  28. 28.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (330 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 200 N at 50 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?
  31. 31.⚖️ A seesaw balances. Arjun (120 N) sits 2 m from the pivot on one side; Meena (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 450 N at 10 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?
  33. 33.⚖️ A seesaw balances. Asha (320 N) sits ? m from the pivot on one side; Ravi (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 350 N at 30 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?
  35. 35.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 800 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?
  37. 37.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Zoya (640 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 200 N at ? cm from the fulcrum. The effort is 20 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 50 cm from the fulcrum. The effort is 100 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is 100 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?

Answer key

  1. closer to the pivot
  2. 140
  3. distance from fulcrum
  4. 20
  5. 260
  6. 2
  7. 50
  8. 60
  9. 1000
  10. 480
  11. 80
  12. 10
  13. 330
  14. 360
  15. 70
  16. 4
  17. 360
  18. 90
  19. 80
  20. turning effects match
  21. 70
  22. 640
  23. 90
  24. 640
  25. 100
  26. 2
  27. 20
  28. 20
  29. 440
  30. 250
  31. 1
  32. 50
  33. 3
  34. 210
  35. 40
  36. 80
  37. 320
  38. 10
  39. 200
  40. 20

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