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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 196 · 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 30 cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (150 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Kabir (640 N) sits ? m from the pivot on one side; Asha (640 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  5. 5.⚖️ A seesaw balances. Asha (440 N) sits 1 m from the pivot on one side; Kabir (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ 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?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) mass of fulcrum (d) distance from fulcrum
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Kabir (360 N) sits 2 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  12. 12.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A lever bar balances. The load is 30 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?
  14. 14.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 240 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Meena (170 N) sits ? m from the pivot on one side; Asha (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Arjun (120 N) sits 1 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 630 N at 30 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?
  24. 24.⚖️ A seesaw balances. Kabir (440 N) sits 4 m from the pivot on one side; Zoya (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is ? N at 50 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 lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Kabir (760 N) sits 4 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (200 N) sits 4 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 400 N at 20 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?
  30. 30.⚖️ A lever bar balances. The load is 800 N at 30 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 seesaw balances. Arjun (150 N) sits 1 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (680 N) sits ? m from the pivot on one side; Asha (170 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Arjun (140 N) sits ? m from the pivot on one side; Kabir (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 720 N at 10 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?
  36. 36.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Asha (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 160 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 400 N at ? cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Meena (520 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 120
  2. 150
  3. 4
  4. closer to the pivot
  5. 4
  6. 70
  7. 480
  8. distance from fulcrum
  9. 200
  10. 360
  11. turning effects match
  12. 540
  13. 30
  14. 400
  15. 60
  16. 90
  17. 180
  18. 320
  19. 50
  20. 300
  21. 3
  22. 120
  23. 210
  24. 4
  25. 60
  26. 20
  27. 760
  28. 400
  29. 80
  30. 300
  31. 150
  32. 40
  33. 1
  34. 2
  35. 80
  36. 3
  37. 20
  38. 40
  39. 520
  40. 160

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