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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 296 · 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. Meena (? N) sits 1 m from the pivot on one side; Zoya (150 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Kabir (510 N) sits ? m from the pivot on one side; Asha (510 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Ravi (380 N) sits ? m from the pivot on one side; Meena (570 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  6. 6.⚖️ A seesaw balances. Kabir (330 N) sits ? m from the pivot on one side; Ravi (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Meena (180 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?
  9. 9.⚖️ A seesaw balances. Meena (200 N) sits 4 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 240 N at 10 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?
  11. 11.⚖️ A seesaw balances. Asha (170 N) sits 4 m from the pivot on one side; Arjun (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Ravi (190 N) sits ? m from the pivot on one side; Meena (570 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Ravi (420 N) sits ? m from the pivot on one side; Kabir (140 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Asha (120 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Meena (450 N) sits 4 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (120 N) sits 1 m from the pivot on one side; Meena (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Asha (260 N) sits 3 m from the pivot on one side; Kabir (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  19. 19.⚖️ A seesaw balances. Meena (120 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?
  20. 20.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) distance from fulcrum (d) colour of bar
  21. 21.⚖️ A lever bar balances. The load is 420 N at 20 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Zoya (480 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Ravi (510 N) sits 4 m from the pivot on one side; Arjun (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 400 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?
  25. 25.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A lever bar balances. The load is 490 N at ? cm from the fulcrum. The effort is 70 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  28. 28.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (600 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Arjun (260 N) sits ? m from the pivot on one side; Asha (390 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Kabir (280 N) sits ? m from the pivot on one side; Meena (280 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (570 N) sits ? m from the pivot on one side; Meena (570 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Ravi (440 N) sits 4 m from the pivot on one side; Arjun (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 120 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is 210 N at 10 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?

Answer key

  1. 600
  2. 3
  3. 3
  4. 900
  5. turning effects match
  6. 4
  7. 10
  8. 540
  9. 400
  10. 40
  11. 1
  12. 3
  13. 1
  14. 1
  15. 600
  16. 1
  17. 2
  18. closer to the pivot
  19. 360
  20. distance from fulcrum
  21. 140
  22. 320
  23. 3
  24. 50
  25. 200
  26. 320
  27. 10
  28. 40
  29. 720
  30. 300
  31. 480
  32. 3
  33. 130
  34. 2
  35. 40
  36. 3
  37. 4
  38. 630
  39. 30
  40. 30

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