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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 965 · 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. Ravi (420 N) sits 3 m from the pivot on one side; Arjun (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  2. 2.⚖️ A lever bar balances. The load is 180 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?
  3. 3.⚖️ A lever bar balances. The load is 240 N at 40 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?
  4. 4.⚖️ A lever bar balances. The load is 240 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?
  5. 5.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Asha (260 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  6. 6.⚖️ A lever balances when … (a) the bar is short (b) both weights are equal (c) turning effects match (d) the fulcrum moves
  7. 7.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  9. 9.⚖️ A lever bar balances. The load is 810 N at 50 cm from the fulcrum. The effort is 450 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 10 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?
  11. 11.⚖️ A lever bar balances. The load is 40 N at 50 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?
  12. 12.⚖️ A seesaw balances. Zoya (520 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?
  13. 13.⚖️ A lever bar balances. The load is 300 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?
  14. 14.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Kabir (150 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  15. 15.⚖️ A lever bar balances. The load is 60 N at ? cm from the fulcrum. The effort is 40 N at 30 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Zoya (300 N) sits 1 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?
  18. 18.⚖️ A seesaw balances. Kabir (120 N) sits ? m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (440 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Kabir (510 N) sits 4 m from the pivot on one side; Ravi (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  21. 21.⚖️ A seesaw balances. Meena (200 N) sits ? m from the pivot on one side; Kabir (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A seesaw balances. Arjun (160 N) sits ? m from the pivot on one side; Meena (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  23. 23.⚖️ Turning effect = force × … (a) time taken (b) mass of fulcrum (c) colour of bar (d) distance from fulcrum
  24. 24.⚖️ A seesaw balances. Zoya (120 N) sits ? m from the pivot on one side; Ravi (120 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A lever bar balances. The load is 150 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?
  26. 26.⚖️ A seesaw balances. Asha (480 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?
  27. 27.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 60 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A lever bar balances. The load is 40 N at 30 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Kabir (180 N) sits 4 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?
  32. 32.⚖️ A seesaw balances. Zoya (160 N) sits ? m from the pivot on one side; Arjun (640 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (300 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (600 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A seesaw balances. Asha (220 N) sits 1 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?
  37. 37.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (570 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?
  39. 39.⚖️ A seesaw balances. Arjun (380 N) sits 3 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?
  40. 40.⚖️ A lever bar balances. The load is 60 N at 40 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?

Answer key

  1. 420
  2. 450
  3. 80
  4. 40
  5. 520
  6. turning effects match
  7. 400
  8. closer to the pivot
  9. 90
  10. 20
  11. 40
  12. 130
  13. 60
  14. 600
  15. 20
  16. 280
  17. 150
  18. 3
  19. 330
  20. 3
  21. 1
  22. 4
  23. distance from fulcrum
  24. 1
  25. 30
  26. 320
  27. 270
  28. 60
  29. 450
  30. 30
  31. 720
  32. 4
  33. 450
  34. 200
  35. 60
  36. 110
  37. 420
  38. 3
  39. 570
  40. 80

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