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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 324 · 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 560 N at 10 cm from the fulcrum. The effort is ? N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is 50 N at 20 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?
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) anywhere (c) farther from the pivot (d) closer to the pivot
  4. 4.⚖️ A seesaw balances. Arjun (? N) sits 3 m from the pivot on one side; Zoya (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A lever balances when … (a) the fulcrum moves (b) both weights are equal (c) the bar is short (d) turning effects match
  6. 6.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 70 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Meena (400 N) sits ? m from the pivot on one side; Zoya (400 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ Turning effect = force × … (a) distance from fulcrum (b) mass of fulcrum (c) colour of bar (d) time taken
  9. 9.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Kabir (420 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  10. 10.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 70 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  11. 11.⚖️ A seesaw balances. Ravi (200 N) sits 3 m from the pivot on one side; Arjun (600 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  12. 12.⚖️ A seesaw balances. Asha (300 N) sits 3 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?
  13. 13.⚖️ A seesaw balances. Meena (360 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?
  14. 14.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Arjun (330 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 2 m from the pivot on one side; Zoya (380 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A lever bar balances. The load is 210 N at 30 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?
  17. 17.⚖️ A lever bar balances. The load is 140 N at ? cm from the fulcrum. The effort is 280 N at 20 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A seesaw balances. Ravi (640 N) sits 3 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  19. 19.⚖️ A lever bar balances. The load is 90 N at 50 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?
  20. 20.⚖️ A seesaw balances. Meena (100 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?
  21. 21.⚖️ A seesaw balances. Arjun (360 N) sits 1 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?
  22. 22.⚖️ A lever bar balances. The load is 120 N at 50 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?
  23. 23.⚖️ A seesaw balances. Arjun (170 N) sits 1 m from the pivot on one side; Kabir (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  24. 24.⚖️ A lever bar balances. The load is 300 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?
  25. 25.⚖️ A seesaw balances. Ravi (440 N) sits 2 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?
  26. 26.⚖️ A seesaw balances. Asha (? N) sits 1 m from the pivot on one side; Arjun (110 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 60 N at 30 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?
  28. 28.⚖️ A seesaw balances. Meena (100 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?
  29. 29.⚖️ A lever bar balances. The load is ? N at 20 cm from the fulcrum. The effort is 200 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Arjun (260 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (760 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is 160 N at 10 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?
  33. 33.⚖️ A seesaw balances. Zoya (480 N) sits 3 m from the pivot on one side; Arjun (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Asha (390 N) sits 1 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?
  35. 35.⚖️ A seesaw balances. Zoya (260 N) sits 1 m from the pivot on one side; Kabir (130 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Arjun (340 N) sits 3 m from the pivot on one side; Asha (510 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  37. 37.⚖️ A seesaw balances. Meena (220 N) sits ? m from the pivot on one side; Arjun (110 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Kabir (440 N) sits ? m from the pivot on one side; Meena (330 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Kabir (720 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 ? N at 50 cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 80
  2. 20
  3. closer to the pivot
  4. 180
  5. turning effects match
  6. 700
  7. 4
  8. distance from fulcrum
  9. 420
  10. 10
  11. 1
  12. 300
  13. 180
  14. 330
  15. 190
  16. 210
  17. 40
  18. 4
  19. 150
  20. 200
  21. 180
  22. 100
  23. 170
  24. 50
  25. 220
  26. 330
  27. 30
  28. 400
  29. 700
  30. 260
  31. 760
  32. 20
  33. 3
  34. 130
  35. 2
  36. 2
  37. 1
  38. 3
  39. 360
  40. 160

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