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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 821 · 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. Asha (? N) sits 4 m from the pivot on one side; Meena (720 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 160 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) both weights are equal (d) turning effects match
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  5. 5.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Zoya (360 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?
  8. 8.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (570 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?
  10. 10.⚖️ A lever bar balances. The load is 150 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?
  11. 11.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Arjun (190 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  15. 15.⚖️ A seesaw balances. Zoya (260 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?
  16. 16.⚖️ A lever bar balances. The load is 420 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?
  17. 17.⚖️ A seesaw balances. Asha (190 N) sits 1 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?
  18. 18.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A seesaw balances. Zoya (200 N) sits ? m from the pivot on one side; Kabir (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Zoya (520 N) sits 3 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 280 N at 30 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?
  22. 22.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 80 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Meena (480 N) sits 1 m from the pivot on one side; Kabir (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A seesaw balances. Zoya (720 N) sits 2 m from the pivot on one side; Meena (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 120 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Meena (440 N) sits ? m from the pivot on one side; Ravi (220 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 200 N at ? cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ 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?
  31. 31.⚖️ A seesaw balances. Kabir (110 N) sits 1 m from the pivot on one side; Arjun (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Meena (570 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Meena (160 N) sits 1 m from the pivot on one side; Asha (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 420 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?
  36. 36.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 140 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Arjun (100 N) sits 3 m from the pivot on one side; Asha (300 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 810 N at 50 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?
  39. 39.⚖️ A lever bar balances. The load is ? N at 50 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?
  40. 40.⚖️ A lever bar balances. The load is ? N at 30 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?

Answer key

  1. 720
  2. 20
  3. turning effects match
  4. closer to the pivot
  5. 420
  6. 480
  7. 360
  8. 150
  9. 3
  10. 150
  11. 200
  12. 760
  13. 60
  14. 400
  15. 2
  16. 60
  17. 190
  18. 120
  19. 4
  20. 390
  21. 70
  22. 20
  23. 3
  24. 4
  25. 90
  26. 50
  27. 240
  28. 2
  29. 20
  30. 240
  31. 1
  32. 760
  33. 800
  34. 1
  35. 120
  36. 20
  37. 1
  38. 450
  39. 140
  40. 300

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