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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 30 · 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.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  2. 2.⚖️ A lever bar balances. The load is 480 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A seesaw balances. Meena (680 N) sits 3 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?
  4. 4.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 140 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  5. 5.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A seesaw balances. Asha (680 N) sits ? m from the pivot on one side; Ravi (170 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Kabir (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?
  8. 8.⚖️ A lever bar balances. The load is 180 N at 30 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?
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Kabir (320 N) sits ? m from the pivot on one side; Meena (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (420 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A lever bar balances. The load is 120 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?
  14. 14.⚖️ A lever bar balances. The load is 140 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
  16. 16.⚖️ A seesaw balances. Ravi (? 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?
  17. 17.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever balances when … (a) the fulcrum moves (b) turning effects match (c) the bar is short (d) both weights are equal
  19. 19.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 350 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is 800 N at ? cm from the fulcrum. The effort is 400 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Kabir (720 N) sits 2 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Zoya (200 N) sits 3 m from the pivot on one side; Asha (? 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 300 N at 10 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?
  25. 25.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 300 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Kabir (330 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Kabir (480 N) sits 1 m from the pivot on one side; Ravi (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Ravi (480 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 270 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?
  33. 33.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Zoya (760 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is 900 N at 10 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?
  35. 35.⚖️ A seesaw balances. Zoya (560 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Ravi (760 N) sits 3 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Meena (360 N) sits 2 m from the pivot on one side; Zoya (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Meena (130 N) sits ? m from the pivot on one side; Zoya (520 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Kabir (570 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. closer to the pivot
  2. 60
  3. 510
  4. 20
  5. 10
  6. 1
  7. 520
  8. 270
  9. 400
  10. 3
  11. 180
  12. 560
  13. 60
  14. 20
  15. distance from fulcrum
  16. 330
  17. 100
  18. turning effects match
  19. 50
  20. 30
  21. 50
  22. 360
  23. 600
  24. 30
  25. 640
  26. 10
  27. 360
  28. 160
  29. 220
  30. 4
  31. 120
  32. 90
  33. 190
  34. 100
  35. 4
  36. 570
  37. 90
  38. 2
  39. 4
  40. 3

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