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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 924 · 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. Zoya (300 N) sits 2 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?
  2. 2.⚖️ A lever bar balances. The load is 100 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?
  3. 3.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) distance from fulcrum (d) mass of fulcrum
  4. 4.⚖️ A seesaw balances. Meena (380 N) sits 4 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?
  5. 5.⚖️ A lever bar balances. The load is 30 N at 30 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) the fulcrum moves (d) turning effects match
  7. 7.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 60 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 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A lever bar balances. The load is 180 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?
  12. 12.⚖️ A lever bar balances. The load is 80 N at ? cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Zoya (600 N) sits 2 m from the pivot on one side; Arjun (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 240 N at 10 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?
  17. 17.⚖️ A seesaw balances. Arjun (120 N) sits 3 m from the pivot on one side; Ravi (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 60 N at 30 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?
  19. 19.⚖️ A seesaw balances. Kabir (360 N) sits ? m from the pivot on one side; Meena (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 350 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?
  21. 21.⚖️ A seesaw balances. Asha (360 N) sits 3 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 900 N at 40 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?
  23. 23.⚖️ A seesaw balances. Ravi (440 N) sits 2 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Asha (390 N) sits 2 m from the pivot on one side; Arjun (260 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 150 N at ? cm from the fulcrum. The effort is 250 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 200 N at 40 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?
  27. 27.⚖️ A lever bar balances. The load is 30 N at 20 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 seesaw balances. Asha (240 N) sits 2 m from the pivot on one side; Arjun (240 N) sits ? 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 10 cm from the fulcrum. The effort is 10 N at 80 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 40 cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Arjun (340 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?
  32. 32.⚖️ A seesaw balances. Ravi (400 N) sits 2 m from the pivot on one side; Asha (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 60 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?
  34. 34.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (200 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 40 N at 50 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?
  36. 36.⚖️ A lever bar balances. The load is 140 N at 50 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 420 N at ? cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  39. 39.⚖️ A lever bar balances. The load is 40 N at 50 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?
  40. 40.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 300
  2. 20
  3. distance from fulcrum
  4. 760
  5. 30
  6. turning effects match
  7. 900
  8. 10
  9. 180
  10. 100
  11. 60
  12. 20
  13. 4
  14. 40
  15. 240
  16. 30
  17. 1
  18. 20
  19. 3
  20. 200
  21. 360
  22. 90
  23. 220
  24. 3
  25. 50
  26. 100
  27. 20
  28. 2
  29. 80
  30. 600
  31. 2
  32. 4
  33. 20
  34. 100
  35. 100
  36. 350
  37. 30
  38. closer to the pivot
  39. 20
  40. 10

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