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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 751 · 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 lever bar balances. The load is 60 N at 50 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?
  2. 2.⚖️ A seesaw balances. Arjun (170 N) sits 3 m from the pivot on one side; Asha (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Kabir (140 N) sits ? m from the pivot on one side; Ravi (420 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Kabir (560 N) sits ? m from the pivot on one side; Zoya (280 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Ravi (130 N) sits ? m from the pivot on one side; Zoya (260 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever bar balances. The load is 70 N at 50 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?
  7. 7.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Arjun (560 N) sits 4 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?
  9. 9.⚖️ A seesaw balances. Meena (450 N) sits ? m from the pivot on one side; Zoya (300 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (420 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever bar balances. The load is 90 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 seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) the fulcrum moves (d) both weights are equal
  14. 14.⚖️ A seesaw balances. Kabir (130 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?
  15. 15.⚖️ 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 240 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  18. 18.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A lever bar balances. The load is 70 N at 40 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?
  20. 20.⚖️ A seesaw balances. Meena (300 N) sits 1 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 30 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?
  22. 22.⚖️ A seesaw balances. Asha (110 N) sits 2 m from the pivot on one side; Kabir (220 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 160 N at 20 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?
  24. 24.⚖️ A seesaw balances. Arjun (110 N) sits ? m from the pivot on one side; Ravi (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Asha (360 N) sits 4 m from the pivot on one side; Kabir (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Meena (320 N) sits ? m from the pivot on one side; Ravi (160 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 300 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  33. 33.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (340 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (120 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?
  37. 37.⚖️ A seesaw balances. Ravi (160 N) sits 3 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?
  38. 38.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (150 N) sits ? m from the pivot on one side; Zoya (150 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ 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?

Answer key

  1. 20
  2. 1
  3. 3
  4. 2
  5. 2
  6. 70
  7. 380
  8. 560
  9. 2
  10. 140
  11. 30
  12. 160
  13. turning effects match
  14. 390
  15. 50
  16. 160
  17. distance from fulcrum
  18. 20
  19. 70
  20. 100
  21. 270
  22. 1
  23. 40
  24. 4
  25. 480
  26. 190
  27. 260
  28. 3
  29. 1
  30. 600
  31. 30
  32. closer to the pivot
  33. 360
  34. 490
  35. 340
  36. 360
  37. 480
  38. 180
  39. 1
  40. 260

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