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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 836 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Meena (170 N) sits 4 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Ravi (520 N) sits 3 m from the pivot on one side; Meena (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Meena (640 N) sits ? m from the pivot on one side; Asha (160 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  6. 6.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Asha (400 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?
  8. 8.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Ravi (640 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 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?
  11. 11.⚖️ A seesaw balances. Zoya (540 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?
  12. 12.⚖️ A seesaw balances. Arjun (? 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?
  13. 13.⚖️ A seesaw balances. Kabir (160 N) sits ? m from the pivot on one side; Arjun (320 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Asha (160 N) sits 3 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?
  16. 16.⚖️ A seesaw balances. Zoya (220 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?
  17. 17.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  19. 19.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (570 N) sits 2 m from the pivot on one side; Meena (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Ravi (110 N) sits 1 m from the pivot on one side; Kabir (110 N) sits ? 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 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?
  23. 23.⚖️ A seesaw balances. Asha (140 N) sits 3 m from the pivot on one side; Kabir (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Meena (300 N) sits 4 m from the pivot on one side; Zoya (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 540 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (220 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 140 N at 30 cm from the fulcrum. The effort is ? 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 ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (440 N) sits 4 m from the pivot on one side; Kabir (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (380 N) sits 2 m from the pivot on one side; Asha (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 210 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 20 N at 30 cm from the fulcrum. The effort is ? N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A lever bar balances. The load is 320 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?
  38. 38.⚖️ A seesaw balances. Asha (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?
  39. 39.⚖️ A seesaw balances. Arjun (300 N) sits 4 m from the pivot on one side; Asha (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Zoya (800 N) sits ? m from the pivot on one side; Arjun (200 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 680
  2. 4
  3. 20
  4. 1
  5. turning effects match
  6. 200
  7. 4
  8. 4
  9. closer to the pivot
  10. 120
  11. 720
  12. 100
  13. 2
  14. 420
  15. 480
  16. 110
  17. 20
  18. distance from fulcrum
  19. 240
  20. 3
  21. 1
  22. 280
  23. 1
  24. 3
  25. 720
  26. 360
  27. 60
  28. 220
  29. 210
  30. 270
  31. 600
  32. 4
  33. 2
  34. 720
  35. 30
  36. 30
  37. 80
  38. 600
  39. 3
  40. 1

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