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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 923 · 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 70 N at 20 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?
  2. 2.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (540 N) sits 4 m from the pivot on the other side. What is the missing weight 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 seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
  7. 7.⚖️ A seesaw balances. Asha (240 N) sits 3 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Zoya (130 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?
  9. 9.⚖️ A seesaw balances. Ravi (390 N) sits ? m from the pivot on one side; Kabir (260 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Arjun (260 N) sits ? m from the pivot on one side; Ravi (520 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Asha (160 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?
  12. 12.⚖️ A lever bar balances. The load is 360 N at 10 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?
  13. 13.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  14. 14.⚖️ A seesaw balances. Ravi (190 N) sits 2 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?
  15. 15.⚖️ A lever bar balances. The load is 250 N at 10 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Ravi (150 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is 350 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 50 N at 10 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?
  21. 21.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 150 N at 40 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is 80 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?
  25. 25.⚖️ A seesaw balances. Zoya (180 N) sits ? m from the pivot on one side; Arjun (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Kabir (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is 150 N at 40 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?
  28. 28.⚖️ A lever bar balances. The load is 630 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?
  29. 29.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Asha (330 N) sits ? m from the pivot on one side; Ravi (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Meena (680 N) sits 1 m from the pivot on one side; Ravi (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Meena (240 N) sits ? m from the pivot on one side; Ravi (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Zoya (110 N) sits ? m from the pivot on one side; Arjun (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 120 N at 10 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?
  36. 36.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (570 N) sits ? m from the pivot on one side; Arjun (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (190 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 20
  2. 600
  3. 720
  4. turning effects match
  5. 160
  6. distance from fulcrum
  7. 360
  8. 390
  9. 2
  10. 4
  11. 320
  12. 90
  13. closer to the pivot
  14. 380
  15. 50
  16. 1
  17. 270
  18. 70
  19. 420
  20. 10
  21. 680
  22. 50
  23. 50
  24. 20
  25. 1
  26. 4
  27. 200
  28. 90
  29. 20
  30. 4
  31. 4
  32. 1
  33. 30
  34. 1
  35. 30
  36. 30
  37. 80
  38. 4
  39. 450
  40. 570

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