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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 515 · 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 seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Asha (480 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) colour of bar (d) time taken
  3. 3.⚖️ A lever bar balances. The load is 1000 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?
  4. 4.⚖️ A seesaw balances. Ravi (570 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) on the pivot (c) anywhere (d) closer to the pivot
  6. 6.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (280 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Ravi (340 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Zoya (390 N) sits 4 m from the pivot on one side; Arjun (520 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is 100 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  10. 10.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 300 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 20 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A lever bar balances. The load is 630 N at 30 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?
  13. 13.⚖️ A seesaw balances. Arjun (340 N) sits ? m from the pivot on one side; Zoya (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  15. 15.⚖️ A seesaw balances. Ravi (110 N) sits 1 m from the pivot on one side; Meena (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A seesaw balances. Ravi (330 N) sits ? m from the pivot on one side; Meena (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Kabir (330 N) sits 1 m from the pivot on one side; Asha (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Kabir (300 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?
  19. 19.⚖️ A seesaw balances. Kabir (480 N) sits ? m from the pivot on one side; Meena (640 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 480 N at 50 cm from the fulcrum. The effort is ? N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Zoya (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 250 N at 50 cm from the fulcrum. The effort is 250 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A seesaw balances. Zoya (170 N) sits 2 m from the pivot on one side; Arjun (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is 500 N at ? cm from the fulcrum. The effort is 500 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A lever bar balances. The load is 540 N at ? cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  27. 27.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Meena (200 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Meena (160 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Asha (170 N) sits ? m from the pivot on one side; Zoya (340 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is 150 N at ? cm from the fulcrum. The effort is 150 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (450 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 40 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?
  34. 34.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Ravi (680 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Meena (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  36. 36.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Asha (100 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?
  38. 38.⚖️ A seesaw balances. Asha (540 N) sits 3 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?
  39. 39.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (560 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A seesaw balances. Asha (540 N) sits 2 m from the pivot on one side; Meena (360 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 480
  2. distance from fulcrum
  3. 100
  4. 570
  5. closer to the pivot
  6. 560
  7. 680
  8. 3
  9. 20
  10. 50
  11. 20
  12. 270
  13. 2
  14. turning effects match
  15. 1
  16. 4
  17. 3
  18. 600
  19. 4
  20. 400
  21. 400
  22. 50
  23. 1
  24. 50
  25. 270
  26. 20
  27. 600
  28. 320
  29. 2
  30. 20
  31. 50
  32. 300
  33. 20
  34. 510
  35. 100
  36. 100
  37. 200
  38. 540
  39. 280
  40. 3

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