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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 269 · 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. Arjun (640 N) sits ? m from the pivot on one side; Zoya (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ 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?
  3. 3.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Arjun (300 N) sits ? m from the pivot on one side; Ravi (400 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 480 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A lever bar balances. The load is 120 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Kabir (360 N) sits 4 m from the pivot on one side; Asha (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Meena (450 N) sits ? m from the pivot on one side; Kabir (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Arjun (300 N) sits 4 m from the pivot on one side; Asha (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Arjun (540 N) sits ? m from the pivot on one side; Asha (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  14. 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ 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?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) closer to the pivot (d) on the pivot
  17. 17.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  19. 19.⚖️ A seesaw balances. Meena (150 N) sits 2 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Zoya (220 N) sits 2 m from the pivot on one side; Arjun (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (180 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is 150 N at 50 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?
  24. 24.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Zoya (200 N) sits 2 m from the pivot on one side; Arjun (200 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 80 N at ? cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 20 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?
  28. 28.⚖️ A seesaw balances. Kabir (100 N) sits 3 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (150 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 160 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?
  31. 31.⚖️ A seesaw balances. Zoya (390 N) sits 4 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Meena (190 N) sits 2 m from the pivot on one side; Ravi (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (640 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 600 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?
  35. 35.⚖️ A seesaw balances. Ravi (400 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Meena (640 N) sits ? m from the pivot on one side; Ravi (160 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is 540 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Ravi (140 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Meena (120 N) sits 4 m from the pivot on one side; Asha (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 3
  2. 40
  3. 30
  4. 4
  5. 80
  6. 10
  7. 20
  8. 2
  9. 4
  10. 10
  11. 3
  12. 1
  13. turning effects match
  14. 320
  15. 20
  16. closer to the pivot
  17. 210
  18. distance from fulcrum
  19. 300
  20. 100
  21. 2
  22. 540
  23. 250
  24. 50
  25. 2
  26. 30
  27. 160
  28. 1
  29. 450
  30. 20
  31. 520
  32. 1
  33. 480
  34. 300
  35. 400
  36. 150
  37. 1
  38. 60
  39. 280
  40. 1

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