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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 295 · 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 ? N at 20 cm from the fulcrum. The effort is 180 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  2. 2.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 300 N at 80 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) farther from the pivot (b) anywhere (c) on the pivot (d) closer to the pivot
  4. 4.⚖️ 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?
  5. 5.⚖️ A seesaw balances. Kabir (220 N) sits 3 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?
  6. 6.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Kabir (280 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever balances when … (a) turning effects match (b) both weights are equal (c) the bar is short (d) the fulcrum moves
  8. 8.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Ravi (120 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  9. 9.⚖️ A seesaw balances. Arjun (570 N) sits 4 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?
  10. 10.⚖️ A seesaw balances. Asha (240 N) sits ? m from the pivot on one side; Kabir (480 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  11. 11.⚖️ Turning effect = force × … (a) colour of bar (b) time taken (c) distance from fulcrum (d) mass of fulcrum
  12. 12.⚖️ A seesaw balances. Zoya (? N) sits 2 m from the pivot on one side; Ravi (320 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Ravi (540 N) sits 1 m from the pivot on one side; Kabir (180 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A lever bar balances. The load is 160 N at ? cm from the fulcrum. The effort is 20 N at 80 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  15. 15.⚖️ A seesaw balances. Kabir (390 N) sits ? m from the pivot on one side; Asha (520 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  16. 16.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 150 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  17. 17.⚖️ A lever bar balances. The load is 60 N at 50 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?
  18. 18.⚖️ A seesaw balances. Arjun (200 N) sits 1 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?
  19. 19.⚖️ A seesaw balances. Asha (440 N) sits 2 m from the pivot on one side; Ravi (? N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  20. 20.⚖️ A seesaw balances. Asha (300 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?
  21. 21.⚖️ A lever bar balances. The load is 360 N at ? cm from the fulcrum. The effort is 60 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  22. 22.⚖️ A lever bar balances. The load is 60 N at 10 cm from the fulcrum. The effort is 20 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  23. 23.⚖️ A lever bar balances. The load is 270 N at 50 cm from the fulcrum. The effort is 450 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A seesaw balances. Asha (340 N) sits ? m from the pivot on one side; Zoya (680 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  25. 25.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Zoya (360 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 480 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?
  27. 27.⚖️ A seesaw balances. Zoya (390 N) sits ? m from the pivot on one side; Ravi (520 N) sits 3 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 20 cm from the fulcrum. The effort is 60 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Arjun (520 N) sits ? m from the pivot on one side; Meena (260 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Arjun (420 N) sits 2 m from the pivot on one side; Ravi (280 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Zoya (330 N) sits ? m from the pivot on one side; Kabir (110 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  32. 32.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (400 N) sits 2 m from the pivot on one side; Ravi (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  34. 34.⚖️ A seesaw balances. Asha (300 N) sits 3 m from the pivot on one side; Meena (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  35. 35.⚖️ A lever bar balances. The load is 180 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?
  36. 36.⚖️ A lever bar balances. The load is 150 N at 20 cm from the fulcrum. The effort is 100 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 320 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  38. 38.⚖️ A seesaw balances. Asha (390 N) sits ? m from the pivot on one side; Meena (260 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Kabir (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?
  40. 40.⚖️ A lever bar balances. The load is 720 N at ? cm from the fulcrum. The effort is 320 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?

Answer key

  1. 180
  2. 800
  3. closer to the pivot
  4. 70
  5. 330
  6. 140
  7. turning effects match
  8. 480
  9. 760
  10. 4
  11. distance from fulcrum
  12. 320
  13. 3
  14. 10
  15. 4
  16. 100
  17. 150
  18. 200
  19. 220
  20. 300
  21. 10
  22. 30
  23. 30
  24. 4
  25. 180
  26. 240
  27. 4
  28. 300
  29. 2
  30. 3
  31. 1
  32. 900
  33. 4
  34. 3
  35. 30
  36. 30
  37. 160
  38. 2
  39. 360
  40. 40

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