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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 82 · 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. Ravi (180 N) sits 4 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ 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?
  3. 3.⚖️ A lever bar balances. The load is 400 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?
  4. 4.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) both weights are equal (d) turning effects match
  5. 5.⚖️ A lever bar balances. The load is 30 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?
  6. 6.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  7. 7.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A lever bar balances. The load is 250 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?
  9. 9.⚖️ A seesaw balances. Kabir (180 N) sits 1 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 200 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?
  11. 11.⚖️ A seesaw balances. Kabir (480 N) sits 2 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A lever bar balances. The load is 360 N at 20 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A seesaw balances. Ravi (400 N) sits ? m from the pivot on one side; Kabir (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Meena (300 N) sits 1 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 300 N at 10 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?
  18. 18.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 200 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Meena (510 N) sits 3 m from the pivot on one side; Zoya (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  22. 22.⚖️ A seesaw balances. Ravi (400 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Kabir (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?
  25. 25.⚖️ A lever bar balances. The load is 450 N at 40 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?
  26. 26.⚖️ A seesaw balances. Asha (330 N) sits 1 m from the pivot on one side; Zoya (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Arjun (? N) sits 3 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?
  29. 29.⚖️ A lever bar balances. The load is 320 N at 30 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?
  30. 30.⚖️ A lever bar balances. The load is 900 N at 50 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?
  31. 31.⚖️ A lever bar balances. The load is 60 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?
  32. 32.⚖️ A lever bar balances. The load is 600 N at 30 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?
  33. 33.⚖️ A seesaw balances. Ravi (160 N) sits ? m from the pivot on one side; Zoya (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Meena (360 N) sits 4 m from the pivot on one side; Ravi (480 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 320 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Asha (680 N) sits 3 m from the pivot on one side; Ravi (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Ravi (120 N) sits ? m from the pivot on one side; Asha (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Zoya (570 N) sits ? m from the pivot on one side; Meena (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 720
  2. 50
  3. 500
  4. turning effects match
  5. 50
  6. distance from fulcrum
  7. 40
  8. 100
  9. 180
  10. 50
  11. 320
  12. 90
  13. 540
  14. 2
  15. 100
  16. 210
  17. 50
  18. 100
  19. 20
  20. 3
  21. closer to the pivot
  22. 2
  23. 560
  24. 2
  25. 360
  26. 3
  27. 540
  28. 100
  29. 240
  30. 500
  31. 20
  32. 300
  33. 4
  34. 360
  35. 3
  36. 10
  37. 4
  38. 3
  39. 4
  40. 100

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