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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 68 · 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.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  2. 2.⚖️ A seesaw balances. Kabir (450 N) sits ? m from the pivot on one side; Ravi (450 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 60 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the fulcrum moves (d) the bar is short
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  6. 6.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 350 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Ravi (480 N) sits 3 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Meena (130 N) sits 4 m from the pivot on one side; Arjun (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 210 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ A seesaw balances. Zoya (170 N) sits 2 m from the pivot on one side; Ravi (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is 560 N at 50 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?
  13. 13.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (100 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (390 N) sits 1 m from the pivot on one side; Asha (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (300 N) sits 3 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 lever bar balances. The load is 40 N at 10 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?
  17. 17.⚖️ A seesaw balances. Asha (560 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?
  18. 18.⚖️ A seesaw balances. Zoya (400 N) sits 4 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Zoya (110 N) sits 4 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?
  20. 20.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 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?
  22. 22.⚖️ A seesaw balances. Arjun (400 N) sits ? m from the pivot on one side; Meena (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (260 N) sits 1 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?
  25. 25.⚖️ A seesaw balances. Zoya (300 N) sits 1 m from the pivot on one side; Asha (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 250 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Kabir (600 N) sits 2 m from the pivot on one side; Asha (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 450 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A lever bar balances. The load is 30 N at 20 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?
  30. 30.⚖️ A seesaw balances. Ravi (200 N) sits 1 m from the pivot on one side; Arjun (? 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 540 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Meena (800 N) sits 4 m from the pivot on one side; Arjun (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Asha (440 N) sits 1 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?
  34. 34.⚖️ A seesaw balances. Ravi (380 N) sits 4 m from the pivot on one side; Meena (760 N) sits ? 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 20 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?
  36. 36.⚖️ A seesaw balances. Zoya (420 N) sits ? m from the pivot on one side; Ravi (280 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 60 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?
  38. 38.⚖️ A seesaw balances. Meena (260 N) sits 3 m from the pivot on one side; Arjun (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 40 N at 20 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?
  40. 40.⚖️ A seesaw balances. Kabir (200 N) sits 2 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. distance from fulcrum
  2. 3
  3. 120
  4. turning effects match
  5. closer to the pivot
  6. 210
  7. 3
  8. 1
  9. 280
  10. 600
  11. 1
  12. 350
  13. 100
  14. 3
  15. 300
  16. 20
  17. 420
  18. 4
  19. 440
  20. 50
  21. 40
  22. 4
  23. 320
  24. 130
  25. 2
  26. 50
  27. 4
  28. 50
  29. 30
  30. 100
  31. 60
  32. 4
  33. 110
  34. 2
  35. 40
  36. 2
  37. 30
  38. 2
  39. 20
  40. 200

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