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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 94 · 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 seesaw balances. Asha (140 N) sits 3 m from the pivot on one side; Arjun (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is 210 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Kabir (120 N) sits 4 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  8. 8.⚖️ A seesaw balances. Zoya (150 N) sits ? m from the pivot on one side; Arjun (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Asha (160 N) sits ? m from the pivot on one side; Kabir (160 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Ravi (480 N) sits ? m from the pivot on one side; Zoya (160 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Ravi (520 N) sits 1 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?
  12. 12.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Meena (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Asha (180 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Zoya (160 N) sits 1 m from the pivot on one side; Arjun (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  16. 16.⚖️ A seesaw balances. Kabir (180 N) sits ? m from the pivot on one side; Ravi (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Asha (150 N) sits 2 m from the pivot on one side; Zoya (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Asha (260 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 400 N at ? cm from the fulcrum. The effort is 400 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Ravi (440 N) sits ? m from the pivot on one side; Arjun (220 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ 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?
  22. 22.⚖️ A seesaw balances. Arjun (720 N) sits 2 m from the pivot on one side; Kabir (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 20 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 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Kabir (600 N) sits 4 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  29. 29.⚖️ A lever bar balances. The load is 140 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Meena (300 N) sits 4 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 640 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?
  35. 35.⚖️ A seesaw balances. Ravi (280 N) sits ? m from the pivot on one side; Asha (560 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Meena (140 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?
  37. 37.⚖️ A seesaw balances. Asha (340 N) sits ? m from the pivot on one side; Arjun (680 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 180 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?
  39. 39.⚖️ A lever bar balances. The load is 360 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Ravi (540 N) sits 3 m from the pivot on one side; Meena (540 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 1
  2. 600
  3. 30
  4. 1
  5. 150
  6. 800
  7. closer to the pivot
  8. 2
  9. 1
  10. 1
  11. 130
  12. 3
  13. 180
  14. 1
  15. turning effects match
  16. 1
  17. 1
  18. 260
  19. 40
  20. 2
  21. 60
  22. 4
  23. 180
  24. 900
  25. 100
  26. 40
  27. 600
  28. distance from fulcrum
  29. 20
  30. 240
  31. 2
  32. 480
  33. 420
  34. 80
  35. 4
  36. 140
  37. 4
  38. 90
  39. 40
  40. 3

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