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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 70 · 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 360 N at 30 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?
  2. 2.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Meena (340 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  3. 3.⚖️ A lever bar balances. The load is ? N at 40 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?
  4. 4.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  5. 5.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  6. 6.⚖️ A lever bar balances. The load is 210 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?
  7. 7.⚖️ A seesaw balances. Asha (570 N) sits 1 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?
  8. 8.⚖️ A seesaw balances. Zoya (? N) sits 3 m from the pivot on one side; Ravi (540 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Asha (570 N) sits 2 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?
  10. 10.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  11. 11.⚖️ On a seesaw, a heavier child should sit … (a) on the pivot (b) farther from the pivot (c) anywhere (d) closer to the pivot
  12. 12.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 160 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  13. 13.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Arjun (360 N) sits ? m from the pivot on one side; Kabir (360 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 20 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?
  16. 16.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 240 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 210 N at 20 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?
  18. 18.⚖️ A seesaw balances. Kabir (440 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?
  19. 19.⚖️ A lever bar balances. The load is 240 N at 50 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?
  20. 20.⚖️ A lever bar balances. The load is 280 N at ? cm from the fulcrum. The effort is 210 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  21. 21.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 40 N at 80 cm from the fulcrum on the other side. What is the missing force in newtons?
  22. 22.⚖️ A lever bar balances. The load is 450 N at 30 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 360 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Arjun (120 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  25. 25.⚖️ A lever bar balances. The load is 60 N at 30 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?
  26. 26.⚖️ A seesaw balances. Arjun (390 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?
  27. 27.⚖️ A lever bar balances. The load is 280 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?
  28. 28.⚖️ A seesaw balances. Kabir (720 N) sits 1 m from the pivot on one side; Zoya (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A seesaw balances. Asha (760 N) sits ? m from the pivot on one side; Meena (380 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 270 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  31. 31.⚖️ A lever bar balances. The load is 60 N at 20 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?
  32. 32.⚖️ A lever bar balances. The load is 240 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?
  33. 33.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 90 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  34. 34.⚖️ A seesaw balances. Arjun (200 N) sits ? m from the pivot on one side; Zoya (200 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A seesaw balances. Zoya (380 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?
  36. 36.⚖️ A seesaw balances. Ravi (220 N) sits 2 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?
  37. 37.⚖️ A lever bar balances. The load is 200 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?
  38. 38.⚖️ A seesaw balances. Meena (480 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?
  39. 39.⚖️ A seesaw balances. Asha (560 N) sits ? m from the pivot on one side; Arjun (420 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Zoya (180 N) sits 4 m from the pivot on one side; Kabir (720 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 180
  2. 340
  3. 200
  4. 360
  5. turning effects match
  6. 280
  7. 190
  8. 180
  9. 380
  10. 200
  11. closer to the pivot
  12. 40
  13. 300
  14. 3
  15. 40
  16. 360
  17. 60
  18. 220
  19. 150
  20. 30
  21. 80
  22. 270
  23. 630
  24. 360
  25. 90
  26. 390
  27. 70
  28. 4
  29. 2
  30. 30
  31. 60
  32. 60
  33. 180
  34. 1
  35. 2
  36. 220
  37. 50
  38. 480
  39. 3
  40. 1

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