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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 290 · 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 lever bar balances. The load is 350 N at 50 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?
  2. 2.⚖️ A seesaw balances. Meena (440 N) sits ? m from the pivot on one side; Ravi (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is 720 N at 20 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?
  4. 4.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) time taken (d) distance from fulcrum
  5. 5.⚖️ A seesaw balances. Arjun (570 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?
  6. 6.⚖️ A seesaw balances. Zoya (150 N) sits 1 m from the pivot on one side; Asha (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (540 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Asha (600 N) sits ? m from the pivot on one side; Kabir (600 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) on the pivot (b) closer to the pivot (c) farther from the pivot (d) anywhere
  10. 10.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (110 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Zoya (110 N) sits 3 m from the pivot on one side; Kabir (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 30 N at 50 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?
  13. 13.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (540 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  15. 15.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (450 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (300 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 800 N at ? cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is ? N at 10 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?
  19. 19.⚖️ A lever bar balances. The load is 250 N at 10 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?
  20. 20.⚖️ A lever bar balances. The load is 270 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?
  21. 21.⚖️ A seesaw balances. Zoya (100 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?
  22. 22.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Arjun (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Zoya (260 N) sits ? m from the pivot on one side; Arjun (390 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Zoya (170 N) sits 1 m from the pivot on one side; Ravi (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A lever bar balances. The load is 40 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?
  30. 30.⚖️ A seesaw balances. Arjun (540 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (100 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?
  32. 32.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Ravi (160 N) sits 3 m from the pivot on one side; Zoya (? 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 490 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?
  36. 36.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A lever bar balances. The load is 300 N at 10 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A lever bar balances. The load is 160 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?
  40. 40.⚖️ A seesaw balances. Meena (680 N) sits 4 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?

Answer key

  1. 250
  2. 3
  3. 160
  4. distance from fulcrum
  5. 760
  6. 1
  7. 540
  8. 3
  9. closer to the pivot
  10. 440
  11. 1
  12. 50
  13. 720
  14. turning effects match
  15. 600
  16. 300
  17. 40
  18. 700
  19. 50
  20. 90
  21. 300
  22. 360
  23. 270
  24. 500
  25. 3
  26. 350
  27. 1
  28. 160
  29. 20
  30. 540
  31. 1
  32. 20
  33. 160
  34. 480
  35. 70
  36. 130
  37. 640
  38. 50
  39. 40
  40. 680

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