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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 189 · 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 seesaw balances. Arjun (720 N) sits ? m from the pivot on one side; Kabir (360 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 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ 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?
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  6. 6.⚖️ A lever bar balances. The load is 200 N at 20 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?
  7. 7.⚖️ A seesaw balances. Zoya (180 N) sits 1 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?
  8. 8.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  10. 10.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Meena (450 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 ? N at 30 cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Zoya (180 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?
  13. 13.⚖️ A seesaw balances. Arjun (570 N) sits ? m from the pivot on one side; Meena (760 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (390 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 360 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?
  16. 16.⚖️ A lever bar balances. The load is 120 N at 30 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?
  17. 17.⚖️ A lever bar balances. The load is 900 N at 50 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  19. 19.⚖️ A lever bar balances. The load is 120 N at 10 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?
  20. 20.⚖️ A lever bar balances. The load is 400 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Kabir (150 N) sits 3 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?
  22. 22.⚖️ A seesaw balances. Asha (480 N) sits 3 m from the pivot on one side; Meena (360 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 300 N at 30 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Meena (180 N) sits ? m from the pivot on one side; Asha (180 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 80 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?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Meena (120 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Kabir (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Ravi (760 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Asha (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Meena (300 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 seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Asha (240 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Arjun (480 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Kabir (360 N) sits 3 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 180 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Asha (240 N) sits 3 m from the pivot on one side; Arjun (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 2
  2. 20
  3. 50
  4. 480
  5. turning effects match
  6. 200
  7. 180
  8. 480
  9. distance from fulcrum
  10. 150
  11. 320
  12. 180
  13. 4
  14. 520
  15. 360
  16. 60
  17. 450
  18. closer to the pivot
  19. 40
  20. 100
  21. 450
  22. 4
  23. 90
  24. 1
  25. 200
  26. 120
  27. 3
  28. 4
  29. 3
  30. 330
  31. 3
  32. 2
  33. 3
  34. 540
  35. 540
  36. 20
  37. 190
  38. 240
  39. 20
  40. 2

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