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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 937 · 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 40 N at 40 cm from the fulcrum. The effort is 80 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 150 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?
  3. 3.⚖️ A seesaw balances. Kabir (560 N) sits ? m from the pivot on one side; Ravi (560 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  4. 4.⚖️ A lever bar balances. The load is 500 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?
  5. 5.⚖️ A seesaw balances. Zoya (330 N) sits ? m from the pivot on one side; Kabir (440 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Asha (510 N) sits 2 m from the pivot on one side; Meena (340 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Ravi (190 N) sits 4 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) mass of fulcrum (d) colour of bar
  9. 9.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Asha (320 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 3 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?
  12. 12.⚖️ A seesaw balances. Zoya (240 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?
  13. 13.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  14. 14.⚖️ A lever bar balances. The load is 350 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Arjun (640 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?
  16. 16.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) farther from the pivot (c) on the pivot (d) closer to the pivot
  17. 17.⚖️ A seesaw balances. Asha (520 N) sits ? m from the pivot on one side; Arjun (130 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 480 N at 20 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?
  19. 19.⚖️ A lever bar balances. The load is 600 N at 30 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?
  20. 20.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Kabir (570 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  21. 21.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Asha (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A lever bar balances. The load is 300 N at 50 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (390 N) sits ? m from the pivot on one side; Meena (520 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 270 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  26. 26.⚖️ A seesaw balances. Asha (300 N) sits 4 m from the pivot on one side; Zoya (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Asha (180 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Ravi (120 N) sits 2 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?
  30. 30.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 60 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  32. 32.⚖️ A seesaw balances. Ravi (360 N) sits 4 m from the pivot on one side; Zoya (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 100 N at 50 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 lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  35. 35.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 100 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  37. 37.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Arjun (560 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  38. 38.⚖️ A lever bar balances. The load is 50 N at ? cm from the fulcrum. The effort is 10 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  39. 39.⚖️ A seesaw balances. Ravi (120 N) sits 4 m from the pivot on one side; Arjun (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 420 N at 40 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?

Answer key

  1. 20
  2. 100
  3. 4
  4. 100
  5. 4
  6. 3
  7. 760
  8. distance from fulcrum
  9. 450
  10. 2
  11. 640
  12. 360
  13. turning effects match
  14. 70
  15. 480
  16. closer to the pivot
  17. 1
  18. 160
  19. 300
  20. 570
  21. 100
  22. 100
  23. 810
  24. 4
  25. 60
  26. 3
  27. 360
  28. 160
  29. 240
  30. 30
  31. 300
  32. 2
  33. 250
  34. 200
  35. 10
  36. 120
  37. 280
  38. 10
  39. 480
  40. 280

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