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Engineering Worksheet: Lever Balance

Engineering lesson 13: Balancing a lever · Set 55 · 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.

NameDateTime takenScore ___ / 40
  1. 1.⚖️ 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?
  2. 2.⚖️ A lever balances when … (a) both weights are equal (b) the fulcrum moves (c) turning effects match (d) the bar is short
  3. 3.⚖️ On a seesaw, a heavier child should sit … (a) closer to the pivot (b) farther from the pivot (c) on the pivot (d) anywhere
  4. 4.⚖️ A seesaw balances. Asha (400 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?
  5. 5.⚖️ A seesaw balances. Arjun (390 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?
  6. 6.⚖️ A lever bar balances. The load is 630 N at 20 cm from the fulcrum. The effort is ? N at 90 cm from the fulcrum on the other side. What is the missing force in newtons?
  7. 7.⚖️ A seesaw balances. Ravi (420 N) sits ? m from the pivot on one side; Kabir (280 N) sits 3 m from the pivot on the other side. What is the missing distance in metres?
  8. 8.⚖️ A lever bar balances. The load is 630 N at ? cm from the fulcrum. The effort is 140 N at 90 cm from the fulcrum on the other side. What is the missing distance in centimetres?
  9. 9.⚖️ A seesaw balances. Arjun (480 N) sits ? m from the pivot on one side; Ravi (240 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  10. 10.⚖️ A seesaw balances. Kabir (300 N) sits 4 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?
  11. 11.⚖️ A seesaw balances. Asha (? N) sits 2 m from the pivot on one side; Meena (240 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  12. 12.⚖️ A seesaw balances. Asha (160 N) sits 3 m from the pivot on one side; Meena (? N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  13. 13.⚖️ A seesaw balances. Arjun (? N) sits 1 m from the pivot on one side; Ravi (200 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  14. 14.⚖️ A seesaw balances. Meena (520 N) sits ? m from the pivot on one side; Kabir (130 N) sits 4 m from the pivot on the other side. What is the missing distance in metres?
  15. 15.⚖️ A seesaw balances. Ravi (? N) sits 1 m from the pivot on one side; Meena (100 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  16. 16.⚖️ A seesaw balances. Ravi (240 N) sits 4 m from the pivot on one side; Zoya (480 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  17. 17.⚖️ A lever bar balances. The load is 360 N at 20 cm from the fulcrum. The effort is 180 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  18. 18.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 500 N at 20 cm from the fulcrum on the other side. What is the missing force in newtons?
  19. 19.⚖️ A lever bar balances. The load is 800 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?
  20. 20.⚖️ A lever bar balances. The load is ? N at 10 cm from the fulcrum. The effort is 20 N at 100 cm from the fulcrum on the other side. What is the missing force in newtons?
  21. 21.⚖️ A seesaw balances. Asha (300 N) sits 3 m from the pivot on one side; Kabir (300 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  22. 22.⚖️ A lever bar balances. The load is 180 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?
  23. 23.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 450 N at 70 cm from the fulcrum on the other side. What is the missing force in newtons?
  24. 24.⚖️ A seesaw balances. Ravi (? N) sits 4 m from the pivot on one side; Zoya (480 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 560 N at 20 cm from the fulcrum. The effort is 140 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  26. 26.⚖️ Turning effect = force × … (a) distance from fulcrum (b) time taken (c) colour of bar (d) mass of fulcrum
  27. 27.⚖️ A seesaw balances. Asha (? N) sits 3 m from the pivot on one side; Ravi (570 N) sits 3 m from the pivot on the other side. What is the missing weight in newtons?
  28. 28.⚖️ A seesaw balances. Ravi (? N) sits 2 m from the pivot on one side; Asha (300 N) sits 1 m from the pivot on the other side. What is the missing weight in newtons?
  29. 29.⚖️ A seesaw balances. Meena (? N) sits 3 m from the pivot on one side; Ravi (510 N) sits 4 m from the pivot on the other side. What is the missing weight in newtons?
  30. 30.⚖️ A seesaw balances. Zoya (400 N) sits 2 m from the pivot on one side; Kabir (200 N) sits ? m from the pivot on the other side. What is the missing distance in metres?
  31. 31.⚖️ A seesaw balances. Ravi (360 N) sits 2 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?
  32. 32.⚖️ A seesaw balances. Ravi (280 N) sits 4 m from the pivot on one side; Asha (? N) sits 2 m from the pivot on the other side. What is the missing weight in newtons?
  33. 33.⚖️ A lever bar balances. The load is 300 N at 50 cm from the fulcrum. The effort is 300 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  34. 34.⚖️ A lever bar balances. The load is 400 N at 20 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?
  35. 35.⚖️ A lever bar balances. The load is ? N at 40 cm from the fulcrum. The effort is 280 N at 60 cm from the fulcrum on the other side. What is the missing force in newtons?
  36. 36.⚖️ A lever bar balances. The load is 800 N at 30 cm from the fulcrum. The effort is 240 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  37. 37.⚖️ A seesaw balances. Kabir (480 N) sits 2 m from the pivot on one side; Meena (240 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 180 N at 50 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?
  39. 39.⚖️ A lever bar balances. The load is 280 N at 20 cm from the fulcrum. The effort is 80 N at ? cm from the fulcrum on the other side. What is the missing distance in centimetres?
  40. 40.⚖️ A lever bar balances. The load is ? N at 50 cm from the fulcrum. The effort is 50 N at 30 cm from the fulcrum on the other side. What is the missing force in newtons?

Answer key

  1. 30
  2. turning effects match
  3. closer to the pivot
  4. 200
  5. 3
  6. 140
  7. 2
  8. 20
  9. 2
  10. 600
  11. 480
  12. 480
  13. 800
  14. 1
  15. 400
  16. 2
  17. 40
  18. 200
  19. 80
  20. 200
  21. 3
  22. 360
  23. 630
  24. 360
  25. 80
  26. distance from fulcrum
  27. 570
  28. 150
  29. 680
  30. 4
  31. 360
  32. 560
  33. 50
  34. 80
  35. 420
  36. 100
  37. 4
  38. 90
  39. 70
  40. 30

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