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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 260 · 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.⚖️ Turning effect = force × … (a) colour of bar (b) distance from fulcrum (c) mass of fulcrum (d) time taken
  2. 2.⚖️ A lever bar balances. The load is 200 N at 10 cm from the fulcrum. The effort is ? N at 40 cm from the fulcrum on the other side. What is the missing force in newtons?
  3. 3.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 80 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  4. 4.⚖️ A lever bar balances. The load is 700 N at 50 cm from the fulcrum. The effort is 500 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 20 cm from the fulcrum. The effort is 20 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?
  6. 6.⚖️ A seesaw balances. Arjun (? N) sits 2 m from the pivot on one side; Ravi (260 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  7. 7.⚖️ A lever bar balances. The load is 320 N at ? cm from the fulcrum. The effort is 240 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  8. 8.⚖️ On a seesaw, a heavier child should sit … (a) farther from the pivot (b) closer to the pivot (c) anywhere (d) on the pivot
  9. 9.⚖️ A lever bar balances. The load is 100 N at 10 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?
  10. 10.⚖️ A lever bar balances. The load is 540 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?
  11. 11.⚖️ A seesaw balances. Meena (520 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?
  12. 12.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  13. 13.⚖️ A seesaw balances. Zoya (180 N) sits ? m from the pivot on one side; Ravi (720 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  14. 14.⚖️ A seesaw balances. Zoya (480 N) sits 4 m from the pivot on one side; Asha (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A lever bar balances. The load is 400 N at ? cm from the fulcrum. The effort is 200 N at 40 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  16. 16.⚖️ A seesaw balances. Zoya (? N) sits 1 m from the pivot on one side; Asha (200 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  17. 17.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Kabir (320 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  18. 18.⚖️ A seesaw balances. Zoya (130 N) sits 3 m from the pivot on one side; Ravi (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  19. 19.⚖️ A seesaw balances. Kabir (340 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 160 N at 50 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Zoya (130 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  22. 22.⚖️ A seesaw balances. Asha (300 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?
  23. 23.⚖️ A seesaw balances. Kabir (190 N) sits ? m from the pivot on one side; Zoya (380 N) sits 1 m from the pivot on the other side. What is the missing distance in metres?
  24. 24.⚖️ A lever bar balances. The load is ? N at 30 cm from the fulcrum. The effort is 120 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  25. 25.⚖️ A seesaw balances. Kabir (600 N) sits 4 m from the pivot on one side; Meena (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  26. 26.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 400 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  27. 27.⚖️ A seesaw balances. Ravi (480 N) sits ? m from the pivot on one side; Meena (240 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  28. 28.⚖️ A seesaw balances. Kabir (200 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?
  29. 29.⚖️ A seesaw balances. Asha (400 N) sits ? m from the pivot on one side; Meena (300 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  30. 30.⚖️ A seesaw balances. Meena (? N) sits 2 m from the pivot on one side; Asha (380 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  31. 31.⚖️ A seesaw balances. Meena (? N) sits 4 m from the pivot on one side; Kabir (760 N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  32. 32.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 100 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  33. 33.⚖️ A lever bar balances. The load is 120 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?
  34. 34.⚖️ A seesaw balances. Ravi (130 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?
  35. 35.⚖️ A seesaw balances. Arjun (110 N) sits 4 m from the pivot on one side; Zoya (440 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  36. 36.⚖️ A seesaw balances. Asha (570 N) sits 1 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?
  37. 37.⚖️ A seesaw balances. Ravi (200 N) sits 4 m from the pivot on one side; Arjun (800 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  38. 38.⚖️ A seesaw balances. Asha (150 N) sits 3 m from the pivot on one side; Meena (450 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  39. 39.⚖️ A seesaw balances. Asha (480 N) sits ? m from the pivot on one side; Arjun (320 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  40. 40.⚖️ A seesaw balances. Meena (300 N) sits 1 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?

Answer key

  1. distance from fulcrum
  2. 50
  3. 40
  4. 70
  5. 30
  6. 130
  7. 30
  8. closer to the pivot
  9. 10
  10. 90
  11. 390
  12. turning effects match
  13. 4
  14. 4
  15. 20
  16. 200
  17. 160
  18. 390
  19. 340
  20. 200
  21. 260
  22. 300
  23. 2
  24. 400
  25. 3
  26. 700
  27. 2
  28. 1
  29. 3
  30. 380
  31. 380
  32. 120
  33. 20
  34. 130
  35. 1
  36. 190
  37. 1
  38. 1
  39. 2
  40. 100

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