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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 454 · 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 lever bar balances. The load is 60 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?
  2. 2.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  5. 5.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  6. 6.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Asha (800 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Kabir (390 N) sits 2 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A lever bar balances. The load is 140 N at 40 cm from the fulcrum. The effort is 280 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (130 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
  12. 12.⚖️ A seesaw balances. Ravi (240 N) sits 1 m from the pivot on one side; Kabir (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (510 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Asha (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 150 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Meena (360 N) sits ? m from the pivot on one side; Zoya (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Kabir (240 N) sits ? m from the pivot on one side; Arjun (120 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Kabir (540 N) sits ? m from the pivot on one side; Zoya (540 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Asha (390 N) sits 2 m from the pivot on one side; Meena (260 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (440 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 200 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Arjun (400 N) sits ? m from the pivot on one side; Ravi (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (100 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?
  24. 24.⚖️ A seesaw balances. Ravi (280 N) sits 4 m from the pivot on one side; Kabir (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 700 N at 30 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?
  26. 26.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Ravi (720 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is 60 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?
  28. 28.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A lever bar balances. The load is 240 N at 50 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A lever bar balances. The load is 150 N at 40 cm from the fulcrum. The effort is ? N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Asha (120 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?
  32. 32.⚖️ A seesaw balances. Asha (420 N) sits 2 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (100 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (360 N) sits 2 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?
  36. 36.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Ravi (420 N) sits 1 m from the pivot on one side; Meena (140 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 450 N at 30 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 50 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (570 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 90
  2. 10
  3. 60
  4. closer to the pivot
  5. turning effects match
  6. 600
  7. 120
  8. 260
  9. 20
  10. 520
  11. distance from fulcrum
  12. 2
  13. 340
  14. 360
  15. 240
  16. 3
  17. 1
  18. 3
  19. 3
  20. 110
  21. 40
  22. 3
  23. 100
  24. 2
  25. 300
  26. 540
  27. 10
  28. 480
  29. 400
  30. 200
  31. 480
  32. 280
  33. 300
  34. 400
  35. 2
  36. 160
  37. 3
  38. 150
  39. 10
  40. 760

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