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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 378 · 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 600 N at 20 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?
  2. 2.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A lever balances when … (a) turning effects match (b) the bar is short (c) both weights are equal (d) the fulcrum moves
  4. 4.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever bar balances. The load is 70 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?
  6. 6.⚖️ 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?
  7. 7.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 400 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) farther from the pivot (d) on the pivot
  9. 9.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ 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?
  11. 11.⚖️ A lever bar balances. The load is 40 N at ? cm from the fulcrum. The effort is 30 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 140 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  13. 13.⚖️ A seesaw balances. Meena (380 N) sits 3 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?
  14. 14.⚖️ A lever bar balances. The load is 350 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?
  15. 15.⚖️ A seesaw balances. Kabir (340 N) sits 1 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?
  16. 16.⚖️ 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?
  17. 17.⚖️ Turning effect = force × … (a) colour of bar (b) mass of fulcrum (c) distance from fulcrum (d) time taken
  18. 18.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 90 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Ravi (760 N) sits 4 m from the pivot on one side; Meena (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Arjun (140 N) sits ? m from the pivot on one side; Asha (280 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (220 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Asha (220 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Asha (440 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?
  27. 27.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Kabir (130 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Kabir (330 N) sits 2 m from the pivot on one side; Meena (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (120 N) sits 3 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 50 cm from the fulcrum. The effort is 350 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 140 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?
  33. 33.⚖️ A seesaw balances. Ravi (570 N) sits ? m from the pivot on one side; Zoya (760 N) sits 3 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 10 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Ravi (240 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 40 N at 40 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?
  37. 37.⚖️ A seesaw balances. Arjun (360 N) sits 3 m from the pivot on one side; Ravi (540 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 30 N at ? cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Meena (300 N) sits ? m from the pivot on one side; Ravi (600 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Meena (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 60
  2. 320
  3. turning effects match
  4. 720
  5. 40
  6. 20
  7. 400
  8. closer to the pivot
  9. 280
  10. 60
  11. 30
  12. 630
  13. 570
  14. 200
  15. 170
  16. 50
  17. distance from fulcrum
  18. 30
  19. 80
  20. 4
  21. 2
  22. 330
  23. 330
  24. 40
  25. 220
  26. 440
  27. 130
  28. 3
  29. 360
  30. 420
  31. 130
  32. 210
  33. 4
  34. 400
  35. 2
  36. 80
  37. 2
  38. 20
  39. 4
  40. 1

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