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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 288 · 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 50 cm from the fulcrum. The effort is 350 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 20 cm from the fulcrum. The effort is 140 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A lever bar balances. The load is 160 N at 20 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?
  4. 4.⚖️ A lever bar balances. The load is 400 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?
  5. 5.⚖️ A lever bar balances. The load is ? N at 10 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?
  6. 6.⚖️ A seesaw balances. Ravi (800 N) sits 1 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?
  7. 7.⚖️ A lever bar balances. The load is 180 N at ? cm from the fulcrum. The effort is 30 N at 60 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ A seesaw balances. Ravi (560 N) sits ? m from the pivot on one side; Zoya (560 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  9. 9.⚖️ A seesaw balances. Asha (510 N) sits ? m from the pivot on one side; Kabir (170 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A lever bar balances. The load is 120 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?
  11. 11.⚖️ A lever bar balances. The load is 450 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  12. 12.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) anywhere (d) on the pivot
  13. 13.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Arjun (400 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A lever bar balances. The load is 100 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?
  15. 15.⚖️ A lever bar balances. The load is 1000 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?
  16. 16.⚖️ A seesaw balances. Meena (440 N) sits 3 m from the pivot on one side; Kabir (330 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A seesaw balances. Meena (340 N) sits ? m from the pivot on one side; Asha (340 N) sits 2 m from the pivot on the other side. What is the missing distance in metres?
  18. 18.⚖️ A lever bar balances. The load is 900 N at ? cm from the fulcrum. The effort is 180 N at 100 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  19. 19.⚖️ A lever bar balances. The load is 800 N at 50 cm from the fulcrum. The effort is ? N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  20. 20.⚖️ A seesaw balances. Zoya (100 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?
  21. 21.⚖️ Turning effect = force × … (a) time taken (b) colour of bar (c) mass of fulcrum (d) distance from fulcrum
  22. 22.⚖️ A lever balances when … (a) both weights are equal (b) turning effects match (c) the bar is short (d) the fulcrum moves
  23. 23.⚖️ A lever bar balances. The load is 300 N at 30 cm from the fulcrum. The effort is 150 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  24. 24.⚖️ A lever bar balances. The load is 270 N at 10 cm from the fulcrum. The effort is 90 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  25. 25.⚖️ A seesaw balances. Kabir (? N) sits 1 m from the pivot on one side; Zoya (130 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  26. 26.⚖️ A lever bar balances. The load is 20 N at 50 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?
  27. 27.⚖️ A seesaw balances. Ravi (140 N) sits 4 m from the pivot on one side; Arjun (560 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 30 cm from the fulcrum. The effort is 300 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  29. 29.⚖️ A seesaw balances. Kabir (150 N) sits 3 m from the pivot on one side; Ravi (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Kabir (510 N) sits 4 m from the pivot on one side; Arjun (680 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A lever bar balances. The load is 250 N at ? cm from the fulcrum. The effort is 250 N at 50 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  32. 32.⚖️ A seesaw balances. Kabir (? N) sits 3 m from the pivot on one side; Ravi (540 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A seesaw balances. Zoya (? N) sits 4 m from the pivot on one side; Arjun (400 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  34. 34.⚖️ A seesaw balances. Arjun (330 N) sits 1 m from the pivot on one side; Ravi (110 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 280 N at ? cm from the fulcrum. The effort is 140 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  36. 36.⚖️ A seesaw balances. Kabir (300 N) sits 4 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?
  37. 37.⚖️ A seesaw balances. Asha (800 N) sits 2 m from the pivot on one side; Ravi (400 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Meena (? N) sits 1 m from the pivot on one side; Zoya (110 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  39. 39.⚖️ A seesaw balances. Ravi (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?
  40. 40.⚖️ A seesaw balances. Meena (760 N) sits 4 m from the pivot on one side; Asha (760 N) sits ? m from the pivot on the other side. What is the missing distance in metres?

Answer key

  1. 140
  2. 700
  3. 20
  4. 100
  5. 600
  6. 200
  7. 10
  8. 4
  9. 1
  10. 30
  11. 50
  12. closer to the pivot
  13. 200
  14. 50
  15. 100
  16. 4
  17. 2
  18. 20
  19. 400
  20. 1
  21. distance from fulcrum
  22. turning effects match
  23. 60
  24. 30
  25. 520
  26. 20
  27. 1
  28. 500
  29. 1
  30. 3
  31. 50
  32. 360
  33. 300
  34. 3
  35. 20
  36. 600
  37. 4
  38. 220
  39. 110
  40. 4

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