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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 73 · 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 180 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?
  2. 2.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Arjun (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  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. Zoya (120 N) sits 2 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Arjun (120 N) sits ? m from the pivot on one side; Ravi (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the bar is short (d) the fulcrum moves
  8. 8.⚖️ A seesaw balances. Kabir (100 N) sits ? m from the pivot on one side; Meena (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Zoya (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Kabir (400 N) sits 4 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Ravi (190 N) sits 2 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?
  13. 13.⚖️ A lever bar balances. The load is 480 N at ? cm from the fulcrum. The effort is 120 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever bar balances. The load is 100 N at ? cm from the fulcrum. The effort is 20 N at 50 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 30 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?
  16. 16.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 240 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is 210 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?
  19. 19.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Meena (400 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 800 N at ? cm from the fulcrum. The effort is 300 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Meena (190 N) sits 4 m from the pivot on one side; Kabir (760 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 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?
  24. 24.⚖️ A seesaw balances. Asha (380 N) sits 2 m from the pivot on one side; Zoya (380 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Meena (480 N) sits 1 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 720 N at 40 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?
  28. 28.⚖️ A lever bar balances. The load is 300 N at 20 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?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (440 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  31. 31.⚖️ A seesaw balances. Meena (540 N) sits ? m from the pivot on one side; Asha (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is 140 N at 30 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?
  33. 33.⚖️ 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?
  34. 34.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Arjun (440 N) sits ? m from the pivot on one side; Kabir (440 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Arjun (480 N) sits 3 m from the pivot on one side; Asha (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Meena (150 N) sits ? m from the pivot on one side; Ravi (300 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (160 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 240
  2. 1
  3. distance from fulcrum
  4. 240
  5. 300
  6. 3
  7. turning effects match
  8. 2
  9. 570
  10. 4
  11. 170
  12. 380
  13. 20
  14. 10
  15. 60
  16. 30
  17. 140
  18. 350
  19. 2
  20. 30
  21. 20
  22. 1
  23. 10
  24. 2
  25. 130
  26. 120
  27. 320
  28. 120
  29. 220
  30. closer to the pivot
  31. 1
  32. 60
  33. 900
  34. 900
  35. 130
  36. 4
  37. 1000
  38. 4
  39. 2
  40. 160

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