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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 89 · 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 seesaw balances. Zoya (760 N) sits 4 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  3. 3.⚖️ A lever bar balances. The load is 80 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?
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Asha (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever bar balances. The load is 250 N at ? cm from the fulcrum. The effort is 100 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  8. 8.⚖️ A lever bar balances. The load is 800 N at 10 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?
  9. 9.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  10. 10.⚖️ A seesaw balances. Kabir (100 N) sits ? m from the pivot on one side; Ravi (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Kabir (190 N) sits 3 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?
  12. 12.⚖️ A seesaw balances. Meena (190 N) sits ? m from the pivot on one side; Arjun (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 30 N at ? cm from the fulcrum. The effort is 30 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Arjun (190 N) sits ? m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 50 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (220 N) sits 2 m from the pivot on one side; Arjun (220 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 30 cm from the fulcrum. The effort is 90 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 30 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. Kabir (140 N) sits 2 m from the pivot on one side; Asha (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Meena (800 N) sits 1 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?
  21. 21.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Arjun (380 N) sits ? m from the pivot on one side; Kabir (570 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Zoya (150 N) sits 4 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?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Kabir (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 360 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 490 N at 30 cm from the fulcrum. The effort is 210 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A lever bar balances. The load is 270 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?
  28. 28.⚖️ 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?
  29. 29.⚖️ A lever bar balances. The load is 70 N at 10 cm from the fulcrum. The effort is 10 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A lever bar balances. The load is 60 N at 10 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?
  32. 32.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 350 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Zoya (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A lever bar balances. The load is 20 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?
  36. 36.⚖️ A seesaw balances. Kabir (720 N) sits 1 m from the pivot on one side; Meena (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Ravi (600 N) sits 4 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?
  38. 38.⚖️ A seesaw balances. Arjun (440 N) sits ? m from the pivot on one side; Zoya (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A lever bar balances. The load is 350 N at 20 cm from the fulcrum. The effort is ? N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  40. 40.⚖️ A lever bar balances. The load is 630 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?

Answer key

  1. 760
  2. turning effects match
  3. 20
  4. 180
  5. 480
  6. 20
  7. distance from fulcrum
  8. 100
  9. closer to the pivot
  10. 2
  11. 570
  12. 2
  13. 30
  14. 1
  15. 250
  16. 2
  17. 240
  18. 30
  19. 1
  20. 200
  21. 420
  22. 3
  23. 600
  24. 360
  25. 40
  26. 70
  27. 450
  28. 10
  29. 70
  30. 100
  31. 10
  32. 50
  33. 2
  34. 540
  35. 20
  36. 4
  37. 600
  38. 1
  39. 140
  40. 180

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