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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 421 · 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 seesaw balances. Zoya (520 N) sits 3 m from the pivot on one side; Kabir (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  3. 3.⚖️ A seesaw balances. Zoya (120 N) sits 4 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?
  4. 4.⚖️ A seesaw balances. Kabir (110 N) sits 2 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?
  5. 5.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Zoya (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Asha (600 N) sits 1 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?
  7. 7.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  8. 8.⚖️ A seesaw balances. Arjun (280 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Kabir (600 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 60 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 30 cm from the fulcrum. The effort is 300 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) distance from fulcrum (d) time taken
  14. 14.⚖️ A seesaw balances. Zoya (600 N) sits 4 m from the pivot on one side; Kabir (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Arjun (510 N) sits 4 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (160 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is 60 N at 20 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?
  19. 19.⚖️ A lever bar balances. The load is ? N at 30 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?
  20. 20.⚖️ A lever bar balances. The load is 120 N at 40 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?
  21. 21.⚖️ A seesaw balances. Meena (130 N) sits 4 m from the pivot on one side; Zoya (520 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 810 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?
  23. 23.⚖️ A lever bar balances. The load is 420 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (150 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Zoya (400 N) sits 4 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?
  26. 26.⚖️ A seesaw balances. Meena (160 N) sits 3 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Meena (720 N) sits 3 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 100 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?
  31. 31.⚖️ A seesaw balances. Zoya (260 N) sits ? m from the pivot on one side; Arjun (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Meena (? 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?
  33. 33.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A lever bar balances. The load is 400 N at 40 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?
  35. 35.⚖️ A lever bar balances. The load is 400 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?
  36. 36.⚖️ A seesaw balances. Arjun (400 N) sits 1 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 320 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  38. 38.⚖️ A lever bar balances. The load is 120 N at ? cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Asha (400 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?
  40. 40.⚖️ A seesaw balances. Zoya (140 N) sits ? m from the pivot on one side; Ravi (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 4
  2. closer to the pivot
  3. 480
  4. 220
  5. 4
  6. 150
  7. turning effects match
  8. 280
  9. 4
  10. 240
  11. 900
  12. 400
  13. distance from fulcrum
  14. 4
  15. 680
  16. 640
  17. 420
  18. 20
  19. 50
  20. 160
  21. 1
  22. 90
  23. 60
  24. 600
  25. 400
  26. 480
  27. 100
  28. 810
  29. 540
  30. 100
  31. 2
  32. 200
  33. 700
  34. 320
  35. 50
  36. 100
  37. 40
  38. 20
  39. 400
  40. 2

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