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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 640 · 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 seesaw balances. Kabir (570 N) sits ? m from the pivot on one side; Arjun (380 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  2. 2.⚖️ A seesaw balances. Ravi (520 N) sits 1 m from the pivot on one side; Meena (130 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 80 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. Meena (? N) sits 4 m from the pivot on one side; Arjun (800 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  5. 5.⚖️ A seesaw balances. Kabir (480 N) sits 1 m from the pivot on one side; Zoya (160 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  6. 6.⚖️ A seesaw balances. Meena (390 N) sits 3 m from the pivot on one side; Ravi (390 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  7. 7.⚖️ A seesaw balances. Arjun (360 N) sits 3 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?
  8. 8.⚖️ A lever bar balances. The load is 500 N at 40 cm from the fulcrum. The effort is 400 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ Turning effect = force × … (a) mass of fulcrum (b) distance from fulcrum (c) time taken (d) colour of bar
  10. 10.⚖️ A seesaw balances. Arjun (800 N) sits 3 m from the pivot on one side; Zoya (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  11. 11.⚖️ A lever balances when … (a) turning effects match (b) the fulcrum moves (c) both weights are equal (d) the bar is short
  12. 12.⚖️ A seesaw balances. Zoya (640 N) sits ? m from the pivot on one side; Kabir (640 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  13. 13.⚖️ A lever bar balances. The load is 60 N at 10 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?
  14. 14.⚖️ A lever bar balances. The load is 350 N at ? cm from the fulcrum. The effort is 280 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 40 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  16. 16.⚖️ A seesaw balances. Kabir (800 N) sits ? m from the pivot on one side; Zoya (800 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Kabir (? N) sits 2 m from the pivot on one side; Asha (280 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Kabir (800 N) sits 3 m from the pivot on one side; Zoya (600 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 ? N at 50 cm from the fulcrum. The effort is 150 N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A lever bar balances. The load is 180 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?
  21. 21.⚖️ A lever bar balances. The load is 210 N at ? cm from the fulcrum. The effort is 150 N at 70 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is 560 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?
  23. 23.⚖️ On a seesaw, a heavier child should sit … (a) anywhere (b) on the pivot (c) closer to the pivot (d) farther from the pivot
  24. 24.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A lever bar balances. The load is 500 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?
  26. 26.⚖️ A seesaw balances. Asha (440 N) sits ? m from the pivot on one side; Kabir (110 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  27. 27.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 10 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (200 N) sits ? m from the pivot on one side; Kabir (100 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  29. 29.⚖️ A lever bar balances. The load is 240 N at 40 cm from the fulcrum. The effort is 160 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  30. 30.⚖️ A seesaw balances. Meena (640 N) sits ? m from the pivot on one side; Ravi (320 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Kabir (300 N) sits ? m from the pivot on one side; Zoya (400 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A seesaw balances. Kabir (140 N) sits 3 m from the pivot on one side; Zoya (420 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  33. 33.⚖️ A lever bar balances. The load is 280 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?
  34. 34.⚖️ A seesaw balances. Kabir (220 N) sits 1 m from the pivot on one side; Meena (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  35. 35.⚖️ A seesaw balances. Ravi (200 N) sits 2 m from the pivot on one side; Meena (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A lever bar balances. The load is 300 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?
  37. 37.⚖️ A seesaw balances. Arjun (680 N) sits 1 m from the pivot on one side; Kabir (170 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 30 N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  39. 39.⚖️ A seesaw balances. Asha (600 N) sits 3 m from the pivot on one side; Kabir (? N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  40. 40.⚖️ A lever bar balances. The load is 560 N at 50 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?

Answer key

  1. 2
  2. 4
  3. 80
  4. 800
  5. 3
  6. 3
  7. 360
  8. 50
  9. distance from fulcrum
  10. 600
  11. turning effects match
  12. 4
  13. 30
  14. 40
  15. 240
  16. 4
  17. 280
  18. 4
  19. 120
  20. 270
  21. 50
  22. 160
  23. closer to the pivot
  24. 630
  25. 100
  26. 1
  27. 100
  28. 1
  29. 60
  30. 2
  31. 4
  32. 1
  33. 80
  34. 110
  35. 1
  36. 100
  37. 4
  38. 270
  39. 600
  40. 400

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