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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 872 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ A seesaw balances. Zoya (680 N) sits 3 m from the pivot on one side; Arjun (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A seesaw balances. Ravi (300 N) sits 2 m from the pivot on one side; Zoya (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  3. 3.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (300 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  4. 4.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  5. 5.⚖️ A lever bar balances. The load is 300 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?
  6. 6.⚖️ A seesaw balances. Arjun (600 N) sits 1 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Zoya (260 N) sits ? m from the pivot on one side; Meena (520 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A seesaw balances. Meena (680 N) sits ? m from the pivot on one side; Kabir (510 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A lever bar balances. The load is 270 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?
  10. 10.⚖️ A lever bar balances. The load is 400 N at 50 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?
  11. 11.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (140 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) time taken (d) colour of bar
  13. 13.⚖️ A lever bar balances. The load is 600 N at 10 cm from the fulcrum. The effort is 60 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  14. 14.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Ravi (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Arjun (300 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Asha (240 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Meena (220 N) sits 2 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?
  18. 18.⚖️ A seesaw balances. Zoya (360 N) sits ? m from the pivot on one side; Ravi (180 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  20. 20.⚖️ A seesaw balances. Meena (570 N) sits 2 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?
  21. 21.⚖️ A seesaw balances. Arjun (200 N) sits ? m from the pivot on one side; Zoya (400 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Kabir (320 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ A seesaw balances. Asha (320 N) sits 1 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?
  24. 24.⚖️ A lever bar balances. The load is 900 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. Kabir (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Asha (140 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  27. 27.⚖️ A seesaw balances. Meena (160 N) sits ? m from the pivot on one side; Zoya (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Asha (180 N) sits 4 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?
  29. 29.⚖️ A lever bar balances. The load is 240 N at 40 cm from the fulcrum. The effort is 320 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Kabir (720 N) sits ? m from the pivot on one side; Zoya (540 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 810 N at ? cm from the fulcrum. The effort is 270 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (400 N) sits ? m from the pivot on one side; Asha (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 540 N at 40 cm from the fulcrum. The effort is 360 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A seesaw balances. Meena (330 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?
  35. 35.⚖️ A seesaw balances. Asha (120 N) sits 2 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?
  36. 36.⚖️ A seesaw balances. Arjun (400 N) sits 4 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?
  37. 37.⚖️ A lever bar balances. The load is 600 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?
  38. 38.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 80 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Kabir (390 N) sits 3 m from the pivot on one side; Ravi (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 200 N at 30 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?

Answer key

  1. 510
  2. 3
  3. 400
  4. closer to the pivot
  5. 30
  6. 150
  7. 4
  8. 3
  9. 90
  10. 100
  11. 420
  12. distance from fulcrum
  13. 100
  14. 360
  15. 200
  16. 360
  17. 220
  18. 1
  19. turning effects match
  20. 380
  21. 2
  22. 2
  23. 160
  24. 90
  25. 520
  26. 280
  27. 4
  28. 720
  29. 30
  30. 3
  31. 30
  32. 4
  33. 60
  34. 440
  35. 240
  36. 800
  37. 300
  38. 360
  39. 390
  40. 50

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