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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 596 · 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. Asha (170 N) sits 2 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?
  2. 2.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Zoya (330 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  4. 4.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (120 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 10 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) closer to the pivot (d) on the pivot
  7. 7.⚖️ A seesaw balances. Asha (420 N) sits ? m from the pivot on one side; Zoya (560 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever balances when … (a) the fulcrum moves (b) the bar is short (c) turning effects match (d) both weights are equal
  9. 9.⚖️ A seesaw balances. Arjun (560 N) sits 1 m from the pivot on one side; Asha (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 80 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Zoya (120 N) sits ? m from the pivot on one side; Meena (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Meena (130 N) sits 4 m from the pivot on one side; Zoya (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Meena (170 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?
  14. 14.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Ravi (220 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Ravi (570 N) sits 1 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?
  16. 16.⚖️ A seesaw balances. Kabir (760 N) sits 1 m from the pivot on one side; Zoya (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  18. 18.⚖️ A lever bar balances. The load is 640 N at 40 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?
  19. 19.⚖️ A seesaw balances. Asha (510 N) sits 2 m from the pivot on one side; Meena (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Arjun (170 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A lever bar balances. The load is 120 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (190 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Arjun (? 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?
  25. 25.⚖️ A lever bar balances. The load is 630 N at 10 cm from the fulcrum. The effort is 70 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Kabir (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Asha (260 N) sits 4 m from the pivot on one side; Ravi (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 400 N at 50 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?
  32. 32.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 210 N at 30 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?
  34. 34.⚖️ A lever bar balances. The load is 640 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  35. 35.⚖️ A seesaw balances. Kabir (140 N) sits ? m from the pivot on one side; Asha (420 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Meena (130 N) sits 2 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?
  37. 37.⚖️ A seesaw balances. Arjun (420 N) sits ? m from the pivot on one side; Zoya (140 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Asha (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 280 N at 30 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?
  40. 40.⚖️ A lever bar balances. The load is 180 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?

Answer key

  1. 340
  2. 110
  3. distance from fulcrum
  4. 120
  5. 80
  6. closer to the pivot
  7. 4
  8. turning effects match
  9. 4
  10. 40
  11. 3
  12. 520
  13. 680
  14. 2
  15. 190
  16. 4
  17. 270
  18. 320
  19. 3
  20. 170
  21. 60
  22. 380
  23. 360
  24. 140
  25. 90
  26. 480
  27. 900
  28. 240
  29. 20
  30. 2
  31. 500
  32. 120
  33. 70
  34. 80
  35. 3
  36. 260
  37. 1
  38. 4
  39. 70
  40. 20

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