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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 905 · 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.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
  2. 2.⚖️ A lever bar balances. The load is 600 N at 20 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?
  3. 3.⚖️ A seesaw balances. Meena (440 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Zoya (200 N) sits 1 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?
  5. 5.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Asha (540 N) sits 4 m from the pivot on one side; Ravi (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Ravi (420 N) sits 4 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?
  8. 8.⚖️ A lever bar balances. The load is 150 N at 20 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?
  9. 9.⚖️ A seesaw balances. Kabir (120 N) sits ? m from the pivot on one side; Zoya (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Ravi (760 N) sits 2 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Ravi (760 N) sits 4 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?
  13. 13.⚖️ A seesaw balances. Arjun (170 N) sits 3 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?
  14. 14.⚖️ A seesaw balances. Arjun (180 N) sits ? m from the pivot on one side; Ravi (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Meena (760 N) sits 1 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A seesaw balances. Meena (510 N) sits 2 m from the pivot on one side; Kabir (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
  21. 21.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) both weights are equal (d) the bar is short
  22. 22.⚖️ A seesaw balances. Meena (400 N) sits 3 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 350 N at 10 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Meena (450 N) sits 1 m from the pivot on one side; Kabir (150 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 ? N at 20 cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 240 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 210 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Ravi (510 N) sits ? m from the pivot on one side; Kabir (170 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Zoya (680 N) sits ? m from the pivot on one side; Meena (680 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (240 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?
  34. 34.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (330 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Kabir (300 N) sits 3 m from the pivot on one side; Arjun (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (600 N) sits ? m from the pivot on one side; Ravi (150 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Zoya (120 N) sits 2 m from the pivot on one side; Ravi (240 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (600 N) sits 4 m from the pivot on one side; Zoya (? 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 300 N at ? cm from the fulcrum. The effort is 60 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. distance from fulcrum
  2. 200
  3. 330
  4. 100
  5. 20
  6. 3
  7. 560
  8. 100
  9. 1
  10. 700
  11. 380
  12. 760
  13. 510
  14. 2
  15. 190
  16. 400
  17. 20
  18. 100
  19. 3
  20. closer to the pivot
  21. turning effects match
  22. 600
  23. 180
  24. 50
  25. 3
  26. 240
  27. 40
  28. 200
  29. 160
  30. 30
  31. 1
  32. 4
  33. 2
  34. 330
  35. 450
  36. 1
  37. 120
  38. 1
  39. 600
  40. 10

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