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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 29 · 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 60 N at 50 cm from the fulcrum. The effort is 50 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A seesaw balances. Arjun (380 N) sits 4 m from the pivot on one side; Ravi (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A seesaw balances. Ravi (340 N) sits ? m from the pivot on one side; Asha (170 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is 50 N at 50 cm from the fulcrum. The effort is 50 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 140 N at 20 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?
  6. 6.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (680 N) sits 1 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 10 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A seesaw balances. Ravi (160 N) sits 4 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?
  9. 9.⚖️ A lever bar balances. The load is 160 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?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Arjun (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever bar balances. The load is 360 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A seesaw balances. Asha (140 N) sits 2 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?
  13. 13.⚖️ A lever bar balances. The load is 900 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  15. 15.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 500 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Arjun (280 N) sits 4 m from the pivot on one side; Ravi (560 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Zoya (200 N) sits 1 m from the pivot on one side; Asha (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Meena (220 N) sits ? m from the pivot on one side; Ravi (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Zoya (100 N) sits 4 m from the pivot on one side; Arjun (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Ravi (120 N) sits 3 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?
  21. 21.⚖️ A seesaw balances. Meena (100 N) sits 1 m from the pivot on one side; Arjun (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is ? N at 10 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?
  23. 23.⚖️ A lever bar balances. The load is 450 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A seesaw balances. Zoya (260 N) sits ? m from the pivot on one side; Meena (260 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ Turning effect = force × … (a) mass of fulcrum (b) time taken (c) distance from fulcrum (d) colour of bar
  28. 28.⚖️ A seesaw balances. Arjun (680 N) sits 2 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?
  29. 29.⚖️ A seesaw balances. Meena (640 N) sits ? m from the pivot on one side; Arjun (160 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Kabir (110 N) sits ? m from the pivot on one side; Arjun (110 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (640 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 200 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Ravi (320 N) sits ? m from the pivot on one side; Zoya (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Zoya (800 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) anywhere (d) farther from the pivot
  36. 36.⚖️ A seesaw balances. Kabir (150 N) sits 1 m from the pivot on one side; Meena (150 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Kabir (130 N) sits 4 m from the pivot on one side; Ravi (520 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 ? N at 40 cm from the fulcrum. The effort is 320 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 210 N at ? cm from the fulcrum. The effort is 30 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (240 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?

Answer key

  1. 60
  2. 760
  3. 1
  4. 50
  5. 140
  6. 170
  7. 900
  8. 640
  9. 80
  10. 480
  11. 40
  12. 280
  13. 100
  14. turning effects match
  15. 50
  16. 2
  17. 2
  18. 1
  19. 1
  20. 360
  21. 1
  22. 80
  23. 50
  24. 270
  25. 20
  26. 2
  27. distance from fulcrum
  28. 340
  29. 1
  30. 1
  31. 480
  32. 500
  33. 3
  34. 4
  35. closer to the pivot
  36. 1
  37. 1
  38. 720
  39. 10
  40. 120

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