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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 899 · 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. Arjun (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?
  2. 2.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) on the pivot (c) anywhere (d) farther from the pivot
  3. 3.⚖️ A lever bar balances. The load is 720 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?
  4. 4.⚖️ A seesaw balances. Ravi (570 N) sits 3 m from the pivot on one side; Meena (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever balances when … (a) both weights are equal (b) the bar is short (c) the fulcrum moves (d) turning effects match
  6. 6.⚖️ A seesaw balances. Arjun (320 N) sits 4 m from the pivot on one side; Meena (640 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  8. 8.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 180 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  9. 9.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  10. 10.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Ravi (150 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Asha (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Kabir (390 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Meena (360 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?
  14. 14.⚖️ A lever bar balances. The load is 300 N at ? cm from the fulcrum. The effort is 50 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Kabir (200 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (480 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Zoya (640 N) sits 3 m from the pivot on one side; Kabir (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A lever bar balances. The load is 350 N at 10 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?
  19. 19.⚖️ A seesaw balances. Kabir (440 N) sits 1 m from the pivot on one side; Ravi (110 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A lever bar balances. The load is 540 N at 30 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A seesaw balances. Asha (720 N) sits 2 m from the pivot on one side; Meena (? 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 ? N at 40 cm from the fulcrum. The effort is 360 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  23. 23.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 100 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A lever bar balances. The load is 350 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?
  25. 25.⚖️ A lever bar balances. The load is 560 N at 10 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?
  26. 26.⚖️ 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?
  27. 27.⚖️ A seesaw balances. Meena (480 N) sits 2 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?
  28. 28.⚖️ A lever bar balances. The load is 360 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  29. 29.⚖️ A seesaw balances. Arjun (180 N) sits ? m from the pivot on one side; Ravi (540 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 ? N at 20 cm from the fulcrum. The effort is 40 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  31. 31.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Arjun (640 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 270 N at 10 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  33. 33.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) distance from fulcrum (d) mass of fulcrum
  34. 34.⚖️ A seesaw balances. Asha (? N) sits 4 m from the pivot on one side; Meena (600 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 200 N at ? cm from the fulcrum. The effort is 200 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Asha (170 N) sits ? m from the pivot on one side; Meena (510 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Zoya (380 N) sits 3 m from the pivot on one side; Asha (570 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 2 m from the pivot on one side; Ravi (340 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Arjun (180 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 120 N at 10 cm from the fulcrum. The effort is 30 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 130
  2. closer to the pivot
  3. 80
  4. 570
  5. turning effects match
  6. 2
  7. 160
  8. 540
  9. 300
  10. 300
  11. 120
  12. 130
  13. 360
  14. 10
  15. 200
  16. 360
  17. 480
  18. 70
  19. 4
  20. 90
  21. 360
  22. 450
  23. 900
  24. 70
  25. 70
  26. 100
  27. 320
  28. 60
  29. 3
  30. 40
  31. 160
  32. 90
  33. distance from fulcrum
  34. 300
  35. 20
  36. 3
  37. 2
  38. 170
  39. 180
  40. 40

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