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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 893 · 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 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?
  2. 2.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Arjun (? N) sits 3 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?
  4. 4.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  5. 5.⚖️ A lever bar balances. The load is 200 N at 30 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?
  6. 6.⚖️ A lever bar balances. The load is 500 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Arjun (400 N) sits 4 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Asha (570 N) sits 3 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?
  9. 9.⚖️ A lever bar balances. The load is 300 N at 30 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Asha (170 N) sits 1 m from the pivot on one side; Meena (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 160 N at 30 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?
  13. 13.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Asha (120 N) sits ? m from the pivot on one side; Arjun (240 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 800 N at 50 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ 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?
  17. 17.⚖️ A lever bar balances. The load is 420 N at 40 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A seesaw balances. Arjun (450 N) sits ? m from the pivot on one side; Kabir (450 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Ravi (220 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?
  22. 22.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is 320 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?
  24. 24.⚖️ A seesaw balances. Ravi (540 N) sits ? m from the pivot on one side; Asha (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Asha (200 N) sits 4 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?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  28. 28.⚖️ A seesaw balances. Zoya (400 N) sits ? m from the pivot on one side; Meena (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  31. 31.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (680 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Meena (110 N) sits 3 m from the pivot on one side; Kabir (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Kabir (160 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?
  35. 35.⚖️ A lever bar balances. The load is 270 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Kabir (100 N) sits 2 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?
  37. 37.⚖️ A seesaw balances. Zoya (390 N) sits 4 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?
  38. 38.⚖️ A seesaw balances. Asha (390 N) sits 1 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?
  39. 39.⚖️ A seesaw balances. Arjun (300 N) sits 2 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?
  40. 40.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 350 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 90
  2. 300
  3. 200
  4. distance from fulcrum
  5. 120
  6. 100
  7. 4
  8. 570
  9. 300
  10. 30
  11. 1
  12. 80
  13. 40
  14. 2
  15. 100
  16. 10
  17. 240
  18. 80
  19. 3
  20. 190
  21. 330
  22. 60
  23. 400
  24. 3
  25. 400
  26. 380
  27. closer to the pivot
  28. 3
  29. 100
  30. turning effects match
  31. 50
  32. 170
  33. 1
  34. 160
  35. 30
  36. 200
  37. 520
  38. 130
  39. 300
  40. 50

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