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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 309 · 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 ? N at 40 cm from the fulcrum. The effort is 240 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A seesaw balances. Arjun (200 N) sits 4 m from the pivot on one side; Asha (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ 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?
  4. 4.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) turning effects match (d) the fulcrum moves
  6. 6.⚖️ A lever bar balances. The load is 240 N at ? cm from the fulcrum. The effort is 400 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  7. 7.⚖️ A seesaw balances. Ravi (140 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?
  8. 8.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Zoya (340 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 ? N at 50 cm from the fulcrum. The effort is 450 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Meena (340 N) sits ? m from the pivot on one side; Kabir (510 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Kabir (440 N) sits 3 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?
  12. 12.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Arjun (400 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 400 N at 30 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ 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?
  15. 15.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 150 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Arjun (? N) sits 4 m from the pivot on one side; Meena (640 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Ravi (680 N) sits 4 m from the pivot on one side; Meena (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) closer to the pivot (d) farther from the pivot
  19. 19.⚖️ A seesaw balances. Ravi (760 N) sits 1 m from the pivot on one side; Kabir (190 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Zoya (420 N) sits 1 m from the pivot on one side; Ravi (140 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A lever bar balances. The load is 500 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Ravi (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  23. 23.⚖️ A seesaw balances. Zoya (200 N) sits 1 m from the pivot on one side; Asha (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A seesaw balances. Arjun (600 N) sits ? m from the pivot on one side; Zoya (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ A lever bar balances. The load is 270 N at ? cm from the fulcrum. The effort is 450 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Ravi (600 N) sits 1 m from the pivot on one side; Zoya (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Kabir (200 N) sits ? m from the pivot on one side; Arjun (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (300 N) sits 4 m from the pivot on one side; Asha (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Asha (240 N) sits 4 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Meena (100 N) sits 3 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?
  33. 33.⚖️ A seesaw balances. Arjun (800 N) sits 4 m from the pivot on one side; Asha (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A lever bar balances. The load is 420 N at 20 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?
  35. 35.⚖️ A lever bar balances. The load is 200 N at 10 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. Zoya (240 N) sits ? m from the pivot on one side; Kabir (360 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ Turning effect = force × … (a) time taken (b) distance from fulcrum (c) colour of bar (d) mass of fulcrum
  38. 38.⚖️ A seesaw balances. Zoya (200 N) sits 3 m from the pivot on one side; Asha (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (190 N) sits 4 m from the pivot on one side; Arjun (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Ravi (600 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 300
  2. 1
  3. 140
  4. 480
  5. turning effects match
  6. 50
  7. 420
  8. 170
  9. 180
  10. 3
  11. 330
  12. 4
  13. 40
  14. 420
  15. 50
  16. 320
  17. 680
  18. closer to the pivot
  19. 4
  20. 3
  21. 100
  22. 200
  23. 200
  24. 3
  25. 50
  26. 50
  27. 200
  28. 1
  29. 140
  30. 2
  31. 2
  32. 300
  33. 4
  34. 70
  35. 100
  36. 3
  37. distance from fulcrum
  38. 2
  39. 1
  40. 3

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