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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 948 · 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 450 N at 10 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 (170 N) sits 3 m from the pivot on one side; Kabir (510 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 ? N at 10 cm from the fulcrum. The effort is 100 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A seesaw balances. Ravi (420 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?
  5. 5.⚖️ A seesaw balances. Asha (170 N) sits 2 m from the pivot on one side; Kabir (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  7. 7.⚖️ A seesaw balances. Arjun (720 N) sits 1 m from the pivot on one side; Ravi (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Ravi (200 N) sits 1 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?
  10. 10.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) farther from the pivot (d) anywhere
  11. 11.⚖️ A lever bar balances. The load is 160 N at 50 cm from the fulcrum. The effort is ? N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  12. 12.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (190 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Asha (150 N) sits ? m from the pivot on one side; Arjun (150 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Ravi (110 N) sits 2 m from the pivot on one side; Zoya (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Asha (320 N) sits 2 m from the pivot on one side; Zoya (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Meena (720 N) sits ? m from the pivot on one side; Ravi (360 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 200 N at 50 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?
  19. 19.⚖️ A lever bar balances. The load is 560 N at ? cm from the fulcrum. The effort is 350 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  20. 20.⚖️ A lever bar balances. The load is 200 N at ? cm from the fulcrum. The effort is 50 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (120 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?
  23. 23.⚖️ A lever bar balances. The load is 400 N at 50 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?
  24. 24.⚖️ A lever bar balances. The load is 500 N at 40 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?
  25. 25.⚖️ A seesaw balances. Ravi (680 N) sits 1 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?
  26. 26.⚖️ 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?
  27. 27.⚖️ A seesaw balances. Meena (640 N) sits ? m from the pivot on one side; Kabir (480 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Ravi (570 N) sits 4 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?
  29. 29.⚖️ A lever bar balances. The load is 490 N at 50 cm from the fulcrum. The effort is 350 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ Turning effect = force × … (a) mass of fulcrum (b) colour of bar (c) time taken (d) distance from fulcrum
  31. 31.⚖️ A lever bar balances. The load is 300 N at 10 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?
  32. 32.⚖️ A seesaw balances. Ravi (760 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?
  33. 33.⚖️ A seesaw balances. Arjun (180 N) sits ? m from the pivot on one side; Ravi (720 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Zoya (220 N) sits 2 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?
  35. 35.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (380 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Zoya (300 N) sits 2 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Ravi (600 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A lever bar balances. The load is 20 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?
  40. 40.⚖️ A seesaw balances. Ravi (600 N) sits ? m from the pivot on one side; Asha (600 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 90
  2. 1
  3. 700
  4. 420
  5. 1
  6. turning effects match
  7. 4
  8. 300
  9. 200
  10. closer to the pivot
  11. 100
  12. 190
  13. 1
  14. 1
  15. 280
  16. 320
  17. 2
  18. 100
  19. 50
  20. 10
  21. 300
  22. 1
  23. 400
  24. 50
  25. 170
  26. 90
  27. 3
  28. 760
  29. 70
  30. distance from fulcrum
  31. 100
  32. 4
  33. 4
  34. 220
  35. 40
  36. 570
  37. 3
  38. 450
  39. 20
  40. 3

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