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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 676 · 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.

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  1. 1.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Arjun (600 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Arjun (480 N) sits 1 m from the pivot on one side; Asha (120 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A seesaw balances. Zoya (190 N) sits 3 m from the pivot on one side; Meena (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  5. 5.⚖️ A seesaw balances. Ravi (510 N) sits 4 m from the pivot on one side; Meena (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Asha (200 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?
  7. 7.⚖️ A lever bar balances. The load is 490 N at 20 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?
  8. 8.⚖️ A seesaw balances. Asha (190 N) sits ? m from the pivot on one side; Meena (760 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 100 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is 70 N at ? cm from the fulcrum. The effort is 40 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is 90 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?
  12. 12.⚖️ A lever bar balances. The load is 1000 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?
  13. 13.⚖️ A lever bar balances. The load is 360 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) time taken (d) distance from fulcrum
  15. 15.⚖️ A lever bar balances. The load is 700 N at 30 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 800 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?
  18. 18.⚖️ A lever bar balances. The load is 40 N at 40 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?
  19. 19.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Kabir (180 N) sits ? m from the pivot on one side; Meena (720 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 450 N at ? cm from the fulcrum. The effort is 250 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) closer to the pivot (d) anywhere
  24. 24.⚖️ A seesaw balances. Arjun (280 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?
  25. 25.⚖️ A seesaw balances. Kabir (420 N) sits 1 m from the pivot on one side; Zoya (140 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 ? N at 50 cm from the fulcrum. The effort is 500 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Asha (570 N) sits ? m from the pivot on one side; Ravi (570 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 200 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?
  30. 30.⚖️ A lever bar balances. The load is 630 N at 40 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?
  31. 31.⚖️ A lever bar balances. The load is 120 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?
  32. 32.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A lever bar balances. The load is 540 N at 10 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?
  34. 34.⚖️ A lever balances when … (a) the bar is short (b) the fulcrum moves (c) both weights are equal (d) turning effects match
  35. 35.⚖️ A seesaw balances. Meena (540 N) sits ? m from the pivot on one side; Kabir (180 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Kabir (600 N) sits 2 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Meena (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Asha (110 N) sits ? m from the pivot on one side; Zoya (440 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Asha (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 200
  2. 3
  3. 4
  4. 1
  5. 3
  6. 1
  7. 140
  8. 4
  9. 20
  10. 40
  11. 120
  12. 100
  13. 90
  14. distance from fulcrum
  15. 210
  16. 200
  17. 500
  18. 40
  19. 760
  20. 50
  21. 4
  22. 50
  23. closer to the pivot
  24. 280
  25. 3
  26. 700
  27. 320
  28. 3
  29. 300
  30. 280
  31. 200
  32. 20
  33. 60
  34. turning effects match
  35. 1
  36. 4
  37. 200
  38. 4
  39. 510
  40. 10

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