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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 128 · 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 700 N at 50 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?
  2. 2.⚖️ A lever bar balances. The load is 400 N at 50 cm from the fulcrum. The effort is 200 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  3. 3.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 140 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A lever bar balances. The load is 70 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 80 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ 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?
  7. 7.⚖️ A seesaw balances. Ravi (520 N) sits 1 m from the pivot on one side; Asha (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A lever bar balances. The load is 700 N at 40 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?
  9. 9.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (300 N) sits ? m from the pivot on one side; Meena (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) both weights are equal (d) the fulcrum moves
  12. 12.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) time taken (d) mass of fulcrum
  13. 13.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  14. 14.⚖️ A seesaw balances. Zoya (320 N) sits 3 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?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (170 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (540 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A lever bar balances. The load is 90 N at 40 cm from the fulcrum. The effort is 120 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Meena (400 N) sits 4 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 180 N at 30 cm from the fulcrum. The effort is 270 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A seesaw balances. Zoya (260 N) sits 2 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?
  21. 21.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 90 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Ravi (380 N) sits 4 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 270 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 640 N at ? cm from the fulcrum. The effort is 160 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Meena (360 N) sits 3 m from the pivot on one side; Zoya (360 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 20 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Kabir (320 N) sits ? m from the pivot on one side; Zoya (640 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 20 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Meena (200 N) sits 1 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?
  30. 30.⚖️ A lever bar balances. The load is ? N at 10 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 seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Zoya (680 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A seesaw balances. Kabir (560 N) sits ? m from the pivot on one side; Arjun (280 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 280 N at 10 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?
  34. 34.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Asha (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (560 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Meena (680 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (400 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Zoya (480 N) sits 1 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?
  40. 40.⚖️ A lever bar balances. The load is 700 N at 20 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?

Answer key

  1. 350
  2. 100
  3. 20
  4. 70
  5. 320
  6. 60
  7. 130
  8. 400
  9. 260
  10. 4
  11. turning effects match
  12. distance from fulcrum
  13. closer to the pivot
  14. 480
  15. 510
  16. 360
  17. 30
  18. 4
  19. 20
  20. 260
  21. 30
  22. 760
  23. 180
  24. 20
  25. 3
  26. 90
  27. 4
  28. 20
  29. 200
  30. 500
  31. 680
  32. 2
  33. 70
  34. 4
  35. 140
  36. 280
  37. 170
  38. 400
  39. 120
  40. 140

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