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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 931 · 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. Ravi (? N) sits 2 m from the pivot on one side; Meena (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Ravi (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Meena (170 N) sits 3 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  6. 6.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  7. 7.⚖️ A lever bar balances. The load is 420 N at 20 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?
  8. 8.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (400 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Zoya (140 N) sits 1 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?
  10. 10.⚖️ A lever bar balances. The load is 140 N at 20 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Kabir (130 N) sits 3 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?
  12. 12.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 320 N at 20 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?
  14. 14.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ 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?
  16. 16.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Kabir (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (720 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
  21. 21.⚖️ A seesaw balances. Asha (320 N) sits 1 m from the pivot on one side; Arjun (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Arjun (160 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 10 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is 630 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 lever bar balances. The load is 800 N at 10 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 720 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 180 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A seesaw balances. Asha (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?
  32. 32.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (720 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (300 N) sits 1 m from the pivot on one side; Kabir (100 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 4 m from the pivot on one side; Meena (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (260 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 540 N at 30 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?
  37. 37.⚖️ A lever bar balances. The load is 280 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?
  38. 38.⚖️ A seesaw balances. Meena (110 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?
  39. 39.⚖️ A lever bar balances. The load is 100 N at 50 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?
  40. 40.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Asha (510 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 800
  2. 4
  3. 510
  4. 200
  5. closer to the pivot
  6. distance from fulcrum
  7. 70
  8. 400
  9. 140
  10. 70
  11. 390
  12. 420
  13. 160
  14. 30
  15. 30
  16. 3
  17. 720
  18. 30
  19. 220
  20. turning effects match
  21. 2
  22. 1
  23. 10
  24. 90
  25. 80
  26. 560
  27. 80
  28. 300
  29. 30
  30. 50
  31. 4
  32. 180
  33. 3
  34. 120
  35. 130
  36. 270
  37. 80
  38. 440
  39. 100
  40. 170

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