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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 20 · 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 ? cm from the fulcrum. The effort is 70 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  2. 2.⚖️ A lever bar balances. The load is 700 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?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) closer to the pivot (c) farther from the pivot (d) anywhere
  4. 4.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) mass of fulcrum (d) colour of bar
  5. 5.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  6. 6.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Asha (330 N) sits 4 m from the pivot on one side; Zoya (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) the bar is short (d) turning effects match
  9. 9.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Ravi (110 N) sits 4 m from the pivot on one side; Meena (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Meena (190 N) sits 3 m from the pivot on one side; Arjun (570 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 20 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?
  13. 13.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  14. 14.⚖️ A lever bar balances. The load is 90 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?
  15. 15.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (380 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 250 N at ? cm from the fulcrum. The effort is 200 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  17. 17.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Arjun (520 N) sits ? m from the pivot on one side; Meena (130 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Kabir (520 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Meena (220 N) sits 3 m from the pivot on one side; Ravi (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (450 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 210 N at 20 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?
  23. 23.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Zoya (570 N) sits 3 m from the pivot on one side; Asha (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A seesaw balances. Asha (360 N) sits ? m from the pivot on one side; Arjun (180 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (180 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Arjun (200 N) sits 2 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Meena (390 N) sits ? m from the pivot on one side; Kabir (390 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ 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?
  31. 31.⚖️ A lever bar balances. The load is 420 N at ? cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (280 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?
  33. 33.⚖️ A lever bar balances. The load is 280 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Meena (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?
  35. 35.⚖️ A lever bar balances. The load is 350 N at 30 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?
  36. 36.⚖️ A seesaw balances. Zoya (220 N) sits 3 m from the pivot on one side; Asha (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A lever bar balances. The load is 80 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?
  38. 38.⚖️ A lever bar balances. The load is 700 N at ? cm from the fulcrum. The effort is 210 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Zoya (680 N) sits 1 m from the pivot on one side; Arjun (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Kabir (? 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?

Answer key

  1. 10
  2. 70
  3. closer to the pivot
  4. distance from fulcrum
  5. 10
  6. 90
  7. 3
  8. turning effects match
  9. 100
  10. 1
  11. 1
  12. 200
  13. 630
  14. 90
  15. 760
  16. 40
  17. 480
  18. 1
  19. 130
  20. 2
  21. 300
  22. 140
  23. 10
  24. 570
  25. 1
  26. 720
  27. 240
  28. 200
  29. 3
  30. 3
  31. 10
  32. 420
  33. 70
  34. 1
  35. 210
  36. 2
  37. 80
  38. 30
  39. 4
  40. 480

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