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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 791 · 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 500 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?
  2. 2.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Meena (720 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A seesaw balances. Arjun (300 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?
  6. 6.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  7. 7.⚖️ A lever bar balances. The load is 600 N at ? cm from the fulcrum. The effort is 300 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 800 N at 10 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?
  9. 9.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Zoya (180 N) sits 2 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?
  13. 13.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  14. 14.⚖️ A lever bar balances. The load is 50 N at 50 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?
  15. 15.⚖️ A seesaw balances. Kabir (190 N) sits 3 m from the pivot on one side; Ravi (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Zoya (120 N) sits ? m from the pivot on one side; Kabir (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Zoya (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  19. 19.⚖️ A seesaw balances. Zoya (110 N) sits 4 m from the pivot on one side; Meena (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Arjun (720 N) sits 1 m from the pivot on one side; Meena (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Arjun (540 N) sits ? m from the pivot on one side; Ravi (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A seesaw balances. Kabir (180 N) sits ? m from the pivot on one side; Zoya (720 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Ravi (180 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?
  26. 26.⚖️ A seesaw balances. Ravi (420 N) sits ? m from the pivot on one side; Arjun (560 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 300 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 180 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?
  29. 29.⚖️ A seesaw balances. Zoya (600 N) sits ? m from the pivot on one side; Kabir (800 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Kabir (100 N) sits 4 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?
  31. 31.⚖️ A seesaw balances. Zoya (640 N) sits ? m from the pivot on one side; Ravi (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (360 N) sits ? m from the pivot on one side; Arjun (120 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Ravi (170 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?
  34. 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (720 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?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Ravi (110 N) sits 1 m from the pivot on one side; Meena (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Ravi (330 N) sits ? m from the pivot on one side; Zoya (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 250
  2. 360
  3. 4
  4. 280
  5. 400
  6. turning effects match
  7. 50
  8. 100
  9. 810
  10. 150
  11. 640
  12. 360
  13. closer to the pivot
  14. 50
  15. 1
  16. 1
  17. 3
  18. distance from fulcrum
  19. 1
  20. 4
  21. 3
  22. 180
  23. 4
  24. 800
  25. 180
  26. 4
  27. 50
  28. 60
  29. 4
  30. 400
  31. 3
  32. 1
  33. 680
  34. 90
  35. 180
  36. 130
  37. 1
  38. 600
  39. 1
  40. 260

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