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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 359 · 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 ? N at 40 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Ravi (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Ravi (400 N) sits 4 m from the pivot on one side; Meena (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is 100 N at 40 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 20 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 50 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Zoya (720 N) sits ? m from the pivot on one side; Arjun (180 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) closer to the pivot (d) anywhere
  11. 11.⚖️ A lever bar balances. The load is 50 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?
  12. 12.⚖️ A seesaw balances. Ravi (760 N) sits ? m from the pivot on one side; Zoya (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 200 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 350 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is 300 N at 30 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?
  16. 16.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the bar is short (d) the fulcrum moves
  17. 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 320 N at 40 cm from the fulcrum. The effort is 160 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 360 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?
  22. 22.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ 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?
  24. 24.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Meena (120 N) sits 1 m from the pivot on one side; Asha (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Zoya (170 N) sits 3 m from the pivot on one side; Arjun (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  30. 30.⚖️ A seesaw balances. Meena (570 N) sits 4 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 300 N at 50 cm from the fulcrum. The effort is 500 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 800 N at 10 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Kabir (540 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?
  34. 34.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Ravi (100 N) sits 1 m from the pivot on one side; Arjun (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 100 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?
  37. 37.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 100 N at 30 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 250 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Arjun (330 N) sits 2 m from the pivot on one side; Asha (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A lever bar balances. The load is 120 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?

Answer key

  1. 40
  2. 2
  3. 2
  4. 40
  5. 200
  6. 180
  7. 50
  8. 1
  9. 300
  10. closer to the pivot
  11. 10
  12. 2
  13. 20
  14. 50
  15. 300
  16. turning effects match
  17. 100
  18. 800
  19. 10
  20. 80
  21. 450
  22. 20
  23. 20
  24. 300
  25. 1
  26. 10
  27. 1
  28. 250
  29. distance from fulcrum
  30. 760
  31. 30
  32. 80
  33. 720
  34. 4
  35. 1
  36. 20
  37. 20
  38. 100
  39. 3
  40. 20

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