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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 518 · 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.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) closer to the pivot (c) on the pivot (d) farther from the pivot
  2. 2.⚖️ A seesaw balances. Asha (480 N) sits 1 m from the pivot on one side; Zoya (120 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 50 N at 40 cm from the fulcrum. The effort is 40 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  4. 4.⚖️ A seesaw balances. Kabir (480 N) sits 2 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?
  5. 5.⚖️ A seesaw balances. Zoya (450 N) sits 3 m from the pivot on one side; Arjun (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Meena (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  8. 8.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Zoya (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Asha (340 N) sits 4 m from the pivot on one side; Kabir (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A seesaw balances. Zoya (110 N) sits ? m from the pivot on one side; Meena (330 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ A seesaw balances. Kabir (520 N) sits 3 m from the pivot on one side; Zoya (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A lever balances when … (a) the bar is short (b) turning effects match (c) the fulcrum moves (d) both weights are equal
  13. 13.⚖️ A seesaw balances. Zoya (200 N) sits 1 m from the pivot on one side; Ravi (100 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Arjun (190 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?
  15. 15.⚖️ A lever bar balances. The load is 360 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 250 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A seesaw balances. Ravi (640 N) sits 1 m from the pivot on one side; Meena (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A seesaw balances. Meena (220 N) sits 2 m from the pivot on one side; Kabir (220 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Meena (200 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  20. 20.⚖️ A seesaw balances. Ravi (? N) sits 3 m from the pivot on one side; Asha (420 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; Ravi (440 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Zoya (680 N) sits 3 m from the pivot on one side; Arjun (510 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 450 N at ? cm from the fulcrum. The effort is 180 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Meena (170 N) sits ? m from the pivot on one side; Kabir (680 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Zoya (800 N) sits 2 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 seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Meena (220 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A seesaw balances. Arjun (720 N) sits 4 m from the pivot on one side; Asha (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Meena (220 N) sits 4 m from the pivot on one side; Asha (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 60 N at 20 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?
  31. 31.⚖️ A lever bar balances. The load is 640 N at 20 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?
  32. 32.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Zoya (150 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 120 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Meena (110 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A lever bar balances. The load is 90 N at ? cm from the fulcrum. The effort is 50 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (190 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  37. 37.⚖️ A seesaw balances. Kabir (150 N) sits 2 m from the pivot on one side; Ravi (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Zoya (440 N) sits 4 m from the pivot on one side; Meena (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Meena (640 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 180 N at 40 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?

Answer key

  1. closer to the pivot
  2. 4
  3. 50
  4. 240
  5. 3
  6. 160
  7. 720
  8. 320
  9. 680
  10. 3
  11. 4
  12. turning effects match
  13. 2
  14. 380
  15. 60
  16. 400
  17. 4
  18. 2
  19. 2
  20. 420
  21. 220
  22. 4
  23. 20
  24. 4
  25. 400
  26. 2
  27. 4
  28. 240
  29. 2
  30. 20
  31. 160
  32. 300
  33. 420
  34. 440
  35. 50
  36. 760
  37. 1
  38. 4
  39. 160
  40. 360

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