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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 307 · 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. Ravi (400 N) sits ? m from the pivot on one side; Arjun (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Meena (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  5. 5.⚖️ A seesaw balances. Meena (480 N) sits 4 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?
  6. 6.⚖️ A lever bar balances. The load is 160 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?
  7. 7.⚖️ A seesaw balances. Kabir (330 N) sits 3 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Asha (570 N) sits ? m from the pivot on one side; Ravi (190 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Meena (130 N) sits 3 m from the pivot on one side; Arjun (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Meena (390 N) sits ? m from the pivot on one side; Asha (520 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Zoya (720 N) sits 1 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?
  12. 12.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Kabir (760 N) sits 3 m from the pivot on one side; Meena (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Meena (760 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A seesaw balances. Asha (300 N) sits 2 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 100 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?
  21. 21.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Ravi (130 N) sits 4 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?
  24. 24.⚖️ A lever bar balances. The load is 630 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?
  25. 25.⚖️ A seesaw balances. Ravi (390 N) sits 2 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?
  26. 26.⚖️ A lever bar balances. The load is 40 N at 40 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?
  27. 27.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 210 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A seesaw balances. Kabir (380 N) sits 1 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?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Asha (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (400 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  32. 32.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) distance from fulcrum (d) mass of fulcrum
  33. 33.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Asha (110 N) sits 1 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?
  35. 35.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 300 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Zoya (120 N) sits 1 m from the pivot on one side; Arjun (120 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 800 N at 30 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Asha (200 N) sits 3 m from the pivot on one side; Ravi (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 3
  2. 80
  3. 1
  4. closer to the pivot
  5. 480
  6. 80
  7. 330
  8. 1
  9. 1
  10. 4
  11. 180
  12. 250
  13. 4
  14. 330
  15. 350
  16. 700
  17. 570
  18. 50
  19. 3
  20. 250
  21. 320
  22. 300
  23. 520
  24. 20
  25. 260
  26. 40
  27. 30
  28. 190
  29. 480
  30. 2
  31. turning effects match
  32. distance from fulcrum
  33. 480
  34. 110
  35. 50
  36. 30
  37. 1
  38. 300
  39. 280
  40. 1

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